Sentence examples for function of basis from inspiring English sources

The resulting optimized structure for the B3LYP/6-311+G d,p) U IV aq was similar to the B3LYP/6-31G d B3LYP/6-31G dand experiment (Hennig,p2005), structureclude thandthexperimentd structure is not a strong function of basis set above 6-31G(d,p) (U-O(Hennig2005 and 2.42 Å, resoectively).

This paper makes use of basis functions without an underlying chaotic system.

The central concept is to extract in the hidden layer linear combinations of the inputs as basis functions and then model the target as a function of these basis functions in the output layer.

The cost function of best basis selection is designed by textural and directional information for tree-structured edge-directed orthogonal wavelet packet transform.

The function of the basis swap is best explained through an example.

The latter are modeled by B-splines, which is a common mathematical technique for representing a smooth nonlinear function as a linear function of fixed basis functions [ 33].

Four different basis functions of radial basis function (RBF) surrogate model are adopted for achieving more accurate solutions for structural optimization and reliability analysis.

Blended basis functions, two kinds of basis functions used successively, are used to sparsely represent the images.

To deal with this problem, the function approximation technique is employed to represent the unknown function as a finite combination of basis functions.

The method, based on mathematical programming, approximates the value function with a linear combination of basis functions.

To estimate x (t ), we first expand the function x (t ) in terms of basis functions ϕ (t ) and then estimate its expansion coefficients.