Sentence examples for analytical function which from inspiring English sources

However, there is no analytical function which describes the relation between the radius and the cell-edge throughput, but this relation is obtained through simulations.

We describe the plant arrangement by a superposition of spatial point processes and in this framework we introduce an analytical function which represents the average spatial density of the Sørensen similarity between two infinitesimal plots at distance r.

The plate displacement is obtained in terms of continuous analytical functions which in turn enable comprehensive analysis of the dynamic variables such as stress, energy density and energy flow.

Analytical solutions for the governing equations in the limits of small and large relative particle/gas velocities and a multiple non-linear regression analysis are used, in the present work, to develop analytical functions which can be used to compute the gas and the particle exit velocities and the particle impact velocity for a given set of the gas, process, and feed-powder parameters.

Finally, the manner in which function decomposition is categorized into analytical function decomposition, which is performed where prior examples of products are available to use as reference points, and synthetic function decomposition, which is performed where such examples do not exist, will be discussed.

Finally, we introduce simple analytical error functions which correlate well with the numerical errors of the load transfer schemes.

From these measurements an analytical function was derived which describes the average error of the spatially averaged intensity as a function of the difference between the external sound level and the source sound level.

For practical measurement situations a further analytical function was derived which gives this intensity error as a function of the difference between the measured (spatially averaged) pressure and intensity levels.

The numerical procedure leads to an analytical form of the minimized function which is related to the whole Floquet data.

Contributions for the large deflection theory of plates related to the derivation of analytical solutions for the Airy stress function which satisfy Marguerre׳s equations for isotropic and orthotropic plates are presented.

This problem has the following analytical formulation: find a smooth positive function which solves the following nonlinear boundary value equation: { Δ u = 0 in  B n, ∂ u ∂ ν + n − 2 2 u = n − 2 2 H u n n − 2 on  S n − 1, (1.1).