- homogeneous function
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b) the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator.
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homogeneous function
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homogeneous function — homogeneous function, Mathematics. a polynomial in two or more variables, all the terms being of the same degree … Useful english dictionary
Homogeneous function — In mathematics, a homogeneous function is a function with multiplicative scaling behaviour: if the argument is multiplied by a factor, then the result is multiplied by some power of this factor.Formal definitionSuppose that f: V arr W qquadqquad… … Wikipedia
Homogeneous polynomial — In mathematics, a homogeneous polynomial is a polynomial whose terms are monomials all having the same total degree; or are elements of the same dimension. For example, x^5 + 2 x^3 y^2 + 9 x^1 y^4 is a homogeneous polynomial of degree 5, in two… … Wikipedia
Homogeneous (mathematics) — In mathematics, homogeneous may refer to:*Homogeneous polynomial, in algebra *Homogeneous function *Homogeneous equation, in particular: Homogeneous differential equation *Homogeneous system of linear equations, in linear algebra *Homogeneous… … Wikipedia
Homogeneous coordinate system — A homogeneous coordinate system is a coordinate system in which there is an extra dimension, used most commonly in computer science to specify whether the given coordinates represent a vector (if the last coordinate is zero) or a point (if the… … Wikipedia
Homogeneous charge compression ignition — Thermodynamics … Wikipedia
Homogeneous differential equation — A homogeneous differential equation has several distinct meanings.One meaning is that a first order ordinary differential equation is homogeneous if it has the form : frac{dy}{dx} = F(y/x).To solve such equations, one makes the change of… … Wikipedia
homogeneous — homogeneously, adv. /hoh meuh jee nee euhs, jeen yeuhs, hom euh /, adj. 1. composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population. 2. of the same kind or nature; essentially alike. 3. Math. a.… … Universalium
Homogeneous (large cardinal property) — In the context of a large cardinal property, a subset, S , of D is homogeneous for a function f means that for some natural number n , D n is the domain of f and for some element r of the range of f , every member of S n is mapped to r . That is … Wikipedia
Production function — Graph of Total, Average, and Marginal Product In microeconomics and macroeconomics, a production function is a function that specifies the output of a firm, an industry, or an entire economy for all combinations of inputs. This function is an… … Wikipedia
