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Homogenous function

💡 Words with a Similar Meaning to "Homogenous function"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
homogeneous functionnoun(mathematics) a function f(x) which has the property that for any c, f(cx)=cf(x).
homogenous polynomialnoun(mathematics) Alternative spelling of homogeneous polynomial. [(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term.]
homogeneous polynomialnoun(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term.
holomorphismnoun(mathematics) A holomorphic function
holomorphynoun(mathematics) holomorphic functions (or their study)
polynomial functionnoun(mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)
regular functionnoun(mathematics) a meromorphic function
complementary functionnoun(mathematics) For a nonhomogeneous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=g(x), the general solution of the associated homogenous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=0.
algebraic functionnoun(algebraic geometry) Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation.
multifunctionnoun(mathematics) A multivalued function.
rational functionnoun(mathematics, complex analysis, algebraic geometry) Any function expressible as the quotient of two (coprime) polynomials (and which thus has poles at a finite, discrete set of points which are the roots of the denominator).
constant functionnoun(mathematics) A function whose value is the same for all the elements of its domain.
composite functionnoun(mathematics) A function of one or more independent variables, at least one of which is itself a function of one or more other independent variables; a function of function(s).
symmetric functionnoun(mathematics) Any function, of multiple variables, whose value is independent of the order of the variables, i.e. f(a,b) = f(b,a).
surjective functionnoun(mathematics) Synonym of surjection.
smooth functionnoun(mathematics) a function that has derivatives of all finite orders everywhere in its domain.
transcendental functionnoun(mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.
entire functionnoun(mathematics) Any function of a complex variable that is holomorphic throughout the complex plane
ring homomorphismnoun(algebra) A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity).
schur functionnoun(mathematics) A Schur polynomial.

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