The optimal weights maximize a form of kernel-target alignment [ 24] between the composite network and the target network, which is defined based on the functional relationships implied by the functions of proteins.
(a) Functional network consisting of two black-box nodes, represented by the functions u ( x 1 ) and v ( x 2 ), and a mechanistic model, exemplified by the function y ( x 1, x 2 ) = u ( x 1 ) + v ( x 2 ).
(b) Functional network consisting of three black-box nodes, represented by the functions u ( x 1, x 2 ), v ( x 3, x 4 ) and w ( u, v ), depending on two input variables each.
Each layer is defined by the functions it relies upon from the layer below it and by the services it provides to the layer above it.
Recent automation systems are well structured according to tasks fulfilled by the functions executed on dedicated devices.
Dependence of the reaction rates on initial concentrations of CO2 and H2 was given by the functions with characteristic maxima.
Furthermore, living beings cannot be divided by the functions common to body and soul, by Flying, for instance, and Walking, as we see them divided in the dichotomies already referred to.
Among the features Mr. Chin mentioned were the Configurator, a check-box page that seeks out computers by technical specification; the Buying Adviser, which helps neophyte buyers choose computers by the functions they want to perform, and the selection of refurbished computers.
It begins by the functions of bioreactors in three key processes of tissue engineering: cell seeding of porous scaffolds, maintaining adequate mass transport in the seeded constructs, and physical conditioning the developing tissues.
We show that, under Hankel convolution, S0μis a Banach algebra and a dense ideal ofLμ, namely that formed by the functions inLμwhich are Hankel Stieltjes transforms of Radon measuresγonIwith the property that ∫∞0 tμ+1/2d |γ|(t)<∞.
Thus, the true test of functionality is not whether the feature in question performs a function, but whether the feature "is dictated by the functions to be performed," Warner Bros. Inc. v. Gay Toys, Inc., 724 F.2d 331, 331 (2d Cir.1983) (quoted in LeSportsac, Inc. v. K mart Corp., 754 F.2d at 76), as evidenced by available alternative constructions.
