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characteristic zero

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  • Characteristic (algebra) — In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring s multiplicative identity element (1) in a sum to get the additive identity element (0); the ring is said… …   Wikipedia

  • Zero copula — is a linguistic phenomenon whereby the subject is joined to the predicate without overt marking of this relationship (like the copula to be in English). One can distinguish languages that simply do not have a copula and languages that have a… …   Wikipedia

  • Characteristic set — The mathematical concept of a characteristic set was discovered in the late forties by J.F. Ritt. Besides Gröbner basis method, it provides an alternative algorithmic way for solving multivariate polynomial equations or differential equations.In… …   Wikipedia

  • Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …   Wikipedia

  • Characteristic polynomial — This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its …   Wikipedia

  • Characteristic equation (calculus) — In mathematics, the characteristic equation (or auxiliary equation[1]) is an algebraic equation of degree on which depends the solutions of a given th order differential equation.[2] The characteristic equation can only be formed when the… …   Wikipedia

  • Zero-point field — In quantum field theory, the zero point field is the lowest energy state of a field, i.e. its ground state, which is non zero. [cite book | last = Gribbin | first = John | title = Q is for Quantum An Encyclopedia of Particle Physics | publisher …   Wikipedia

  • Zero-product property — In the mathematical areas of algebra and analysis, the zero product property, also known as the zero product rule , is an abstract and explicit statement of the familiar property from elementary mathematics that if the product of two real numbers …   Wikipedia

  • Characteristic impedance — This article is about impedance in electronics. For impedance of electromagnetic waves, see Wave impedance. For characteristic acoustic impedance, see Acoustic impedance. Schematic representation of a circuit where a source is coupled to a load… …   Wikipedia

  • Zero-phonon line and phonon sideband — The zero phonon line and the phonon sideband jointly constitute the line shape of individual light absorbing and emitting molecules (chromophores) embedded into a transparent solid matrix. When the host matrix contains many chromophores, each… …   Wikipedia

  • characteristic equation — noun : an equation in which the characteristic polynomial of a matrix is set equal to 0 * * * 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and… …   Useful english dictionary

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