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linear system of constant coefficients

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  • System of linear equations — In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example,:egin{alignat}{7}3x ; + ; 2y ; ; z ; = ; 1 2x ; ; 2y ; + ; 4z ; = ; 2 x ; + ; frac{1}{2} y ; ; z …   Wikipedia

  • Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …   Wikipedia

  • Linear least squares (mathematics) — This article is about the mathematics that underlie curve fitting using linear least squares. For statistical regression analysis using least squares, see linear regression. For linear regression on a single variable, see simple linear regression …   Wikipedia

  • Linear programming — (LP, or linear optimization) is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linear relationships.… …   Wikipedia

  • Linear regression — Example of simple linear regression, which has one independent variable In statistics, linear regression is an approach to modeling the relationship between a scalar variable y and one or more explanatory variables denoted X. The case of one… …   Wikipedia

  • Linear inequality — In mathematics a linear inequality is an inequality which involves a linear function.Formal definitionsWhen operating in terms of real numbers, linear inequalities are the ones written in the forms: f(x) < b ext{ or }f(x) leq b,where f(x) is a… …   Wikipedia

  • Linear combination — In mathematics, linear combinations are a concept central to linear algebra and related fields of mathematics.Most of this article deals with linear combinations in the context of a vector space over a field, with some generalisations given at… …   Wikipedia

  • Linear elasticity — Continuum mechanics …   Wikipedia

  • linear equation — Math. 1. a first order equation involving two variables: its graph is a straight line in the Cartesian coordinate system. 2. any equation such that the sum of two solutions is a solution, and a constant multiple of a solution is a solution. Cf.… …   Universalium

  • Constant elasticity of substitution — In economics, Constant elasticity of substitution (CES) is a property of some production functions and utility functions. More precisely, it refers to a particular type of aggregator function which combines two or more types of consumption, or… …   Wikipedia

  • System of imprimitivity — The concept of system of imprimitivity is used in mathematics, particularly in algebra and analysis, both within the context of the theory of group representations. It was used by George Mackey as the basis for his theory of induced unitary… …   Wikipedia

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