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Signomial: Function (Mathematics), Polynomial -

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2026-03-20
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High Quality Content by WIKIPEDIA articles! A "signomial" is an algebraic function of one or more independent variables. It is perhaps most easily thought of as an algebraic extension of multi-dimensional polynomials -- an extension that permits exponents to be arbitrary real numbers (rather than just non-negative integers) while requiring the independent variables to be strictly positive (so that division ... Täielik kirjeldus

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Kirjeldus

High Quality Content by WIKIPEDIA articles! A "signomial" is an algebraic function of one or more independent variables. It is perhaps most easily thought of as an algebraic extension of multi-dimensional polynomials -- an extension that permits exponents to be arbitrary real numbers (rather than just non-negative integers) while requiring the independent variables to be strictly positive (so that division by zero and other inappropriate algebraic operations are not encountered). Formally, let X be a vector of real, positive numbers. X = (x_1, x_2, x_3, dots, x_n)^T Then a signomial function has the form f(x_1, x_2, dots, x_n) = sum_{i=1}^M left(c_i prod_{j=1}^N x_j^{a_{ij}}right) where the coefficients ck and the exponents aij are real numbers. Signomials are closed under addition, subtraction, multiplication, and scaling.

Lisateave

Kirjastaja OmniScriptum
Väljalaskeaasta 2026
Kaanetüüp Pehme kaanega
EAN 9786131193798
Kirjuta oma arvustus
Te vaatate: Signomial: Function (Mathematics), Polynomial
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157,17 € 224,53 €