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generating function |
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generating function [′jen·ə‚rād·iŋ ‚fəŋk·shən] (mathematics) A functiong(x,y) corresponding to a family of orthogonal polynomials ƒ0(x), ƒ1(x),…, where a Taylor series expansion ofg(x,y) in powers ofywill have the polynomial ƒn(x) as the coefficient for the termyn. A function,g(y), corresponding to a sequencea0,a1, ⋯) whereg(y) =a0+a1y+a2y2+ …. Also known as ordinary generating function. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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The net constructed this generating function in a method somewhat analogous to the mathematical technique called Fourier analysis, which enables scientists to approximate any curve by adding together sine waves of different frequency, phase and amplitude Instead of sine waves, however, the net used another trigonometric function, hyperbolic tangents (tanh). The moment generating function (MGF)-based approach for performance analysis, introduced by the authors in the first edition and referred to in literally hundreds of publications, still represents the backbone of the books presentation. Licensing presents the opportunity to transform brand management into a revenue generating function, and CoreBrand has had an increasing role in helping clients think through long-term benefits and implications of these initiatives. |
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