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Multilinear polynomial (*polynomial : 다항식)

In algebra, a multilinear polynomial is a multivariate polynomial that is linear (meaning affine) in each of its variables separately, but not necessarily simultaneously. It is a polynomial in which no variable occurs to a power of 2 or higher; that is, each monomial is a constant times a product of distinct variables. For example f(x,y,z) = 3xy + 2.5 y - 7z is a multilinear polynomial of degree 2 (because of the monomial 3xy) whereas f(x,y,z) = x² +4y is not. The degree of a multilinear polynomial is the maximum number of distinct variables occurring in any monomial.

출처 : 위키피디아

 

 

Generic : 일반적인

 

differential : 미분

 

derivative : 도함수, f'(x)

 

partial derivative : 편미분

 

*미분은 linearity, time invariance 를 만족함 (-> LTI system)