Sentence examples for given functions from inspiring English sources

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The governing equations for designing non-geodesics on a toroid are formulated using the given functions of slippage coefficients.

Two examples are provided to demonstrate the way in which fuzzy systems are designed to approximate given functions with a given required approximation accuracy.

Designing a network with given functions or reconstruct a network based on its dynamical behavior is an important problem in the study of complex systems.

In this approach, locally optimal design points and weights are studied as implicitly given functions of the nonlinear parameters included in the model.

Portions of the methodology can also be used for the optimal approximation, by piecewise linear polynomials, of given functions containing discontinuities.

This theory is based on the representation of the displacement vector in terms of products of the given functions in the direction of the axes x1, x2 and the unknown functions over the axis x3.

Given functions.

where,,, and, are given functions.

where are two given functions.

where (2.2). holds for all and for given functions.

Given functions, we then introduce the vector space (4.10).

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