However, simulations could not verify this statement and it also could not be explained by the representation of transfer function.
Lists of all differentially expressed genes identified by ANOVA test for each cell line were compared to all annotated genes in the array by using the categorical over-representation function of EASE software [ 20].
Consideration was given to identification of discrete processes, which is reducible to the functional decomposition of discrete functions, where by the decomposition is meant the representation of a function by a formula in the basis of binary operations.
Modeling of the topside electron (ion) density profiles, usually done within the Booker formalism, greatly benefits from the recently introduced representation by the Chapman function with continuously varying scale height, dubbed a vary-Chap function.
> -wrap-foot> The performance of a side-chain modeling is affected by the energy function, structural representation and search algorithm.
A full agreement is found with the spectra calculated by applying the phasor representation of functions in the case where the electrolyte diffusion coefficient (D) is assumed constant.
Note that the circle is the simplest non-trivial curve in the plane next to the straight line, and the representation of a function by its circular Radon transform also arises in applications.
Heine proposed that Cantor solve an open problem that had eluded Peter Gustav Lejeune Dirichlet, Rudolf Lipschitz, Bernhard Riemann, and Heine himself: the uniqueness of the representation of a function by trigonometric series.
Since A α Φ p is a subspace of A α p, by the integral representation for functions in A α p, we have that for every f ∈ A α Φ p and z ∈ D (see, e.g. Theorem 2.2 in [57]) (1) f (z ) = ∫ D f (w ) (1 - w ¯ z ) α + 2 dA α (w ).
Algebraically, an ANN can be represented as a schematic of Kolmogorov's theorem [ 11] for the representation of complex functions, by which ANN are proven to be universal function approximators [ 12].
In November 2004, the Appeals Chamber affirmed the Trial Chamber's decision to impose Counsel upon Milošević, but reversed the Trial Chamber's order on the modalities by which that representation would function.
