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chain polynomial

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  • Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia

  • Tutte polynomial — This article is about the Tutte polynomial of a graph. For the Tutte polynomial of a matroid, see Matroid. The polynomial x4 + x3 + x2y is the Tutte polynomial of the Bull graph. The red line shows the intersection with the plane …   Wikipedia

  • Regular chain — In computer algebra, a regular chain is a particular kind of triangular set in a multivariate polynomial ring over a field. It enhances the notion of characteristic set. Introduction Given a linear system, one can convert it to a triangular… …   Wikipedia

  • Ascending chain condition on principal ideals — In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two sided ideals of a ring, partially ordered by inclusion. The ascending ascending chain condition on principal… …   Wikipedia

  • Complex quadratic polynomial — A complex quadratic polynomial is a quadratic polynomial whose coefficients are complex numbers. Contents 1 Forms 2 Conjugation 2.1 Between forms 2.2 With doubling map …   Wikipedia

  • Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …   Wikipedia

  • Pfaffian function — Not to be confused with Pfaffian. In mathematics, the Pfaffian functions are a certain class of functions introduced by Askold Georgevich Khovanskiǐ in the 1970s. They are named after German mathematician Johann Pfaff. Contents 1 Basic definition …   Wikipedia

  • Noetherian ring — In mathematics, more specifically in the area of modern algebra known as ring theory, a Noetherian ring, named after Emmy Noether, is a ring in which every non empty set of ideals has a maximal element. Equivalently, a ring is Noetherian if it… …   Wikipedia

  • Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… …   Wikipedia

  • Sturm's theorem — In mathematics, Sturm s theorem is a symbolic procedure to determine the number of distinct real roots of a polynomial. It was named for Jacques Charles François Sturm, though it had actually been discovered by Jean Baptiste Fourier; Fourier s… …   Wikipedia

  • Routh-Hurwitz stability criterion — The Routh Hurwitz stability criterion is a necessary (and frequently sufficient) method to establish the stability of a single input, single output (SISO), linear time invariant (LTI) control system. More generally, given a polynomial, some… …   Wikipedia

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