Sentence examples for analytical functions with from inspiring English sources

The goal is achieved by establishing a flexible input data generator for both direct and inverse design: geometry and flow quality (pressure distribution) is modelled by a set of analytical functions with parameterized input.

Furthermore, Eq. (17) consists of analytical functions with a well-studied parameter dependence.

Our best results were finally obtained using analytical functions with two repulsive and two attractive C j/ r j terms in addition to the Coulomb interactions.

KBase links these diverse data types with a range of analytical functions within a web-based user interface.

Several approaches for combining microfluidic devices with analytical functions such as sample cleanup, digestion, and separations with MALDI mass spectrometry are discussed.

One can obtain variational expression for the energy (E_{n}) of the n-body system (for our case: (n=4) or (n=6)) of the systems under study by substituting (G({mathbf {p}}_{1},{mathbf {p}}_{2},ldots,{mathbf { p}}_{n})) with analytical functions that contain adjustable constants or parameters to compute the energy of four- or six-body system (see Eqs. 3.2 and 3.4).

The time course of unbalanced cometabolite (NAD+, NADH, NADP+, NADPH, AMP, ADP and ATP) concentrations were fitted with analytical functions [ 21].

Polynomial basis with statistically optimized order enables determination of the analytical functions relating effective tensor components with material parameters of the composite constituents.

The displacement functions used in the present formulation combine the usual polynomials with some analytical functions, carefully chosen to provide a good approximation of basic vibration modes in conjunction with coarse grid modelling strategy.

As a future goal, an empirical model fitting these averages with simple analytical functions may also be developed.

After pre-processing and removal of UV contamination, the ToF spectra were fitted with simple analytical functions so as to derive a set of parameters.