Sentence examples for analytically given from inspiring English sources

Yet, its time evolution can be modelled analytically given the following assumptions14,43,44.

Indeed, the gain of this observer does not require the resolution of any dynamical system and is analytically given.

Furthermore, we can adapt any analytically given boundary aligned structured grid, which specifically includes polar and Cartesian grids.

The results obtained by the presented method have been compared with those obtained experimentally and analytically, given in literature, and a good match has been observed.

The governing equations for viscoelastic spherical divergent stress waves are formulated, and the solutions for spherical stress waves are analytically given in the Laplace domain.

This paper proposes a transformation method capable of transforming analytically given differential equations of dynamic models into Takagi Sugeno fuzzy inference model (TS fuzzy model), whereupon various parallel distributed compensation (PDC) controller design techniques can readily be executed.

Here we show that such equation can easily by integrated analytically, giving a simple, exact expression for the variation of the mean level within the surf zone.

In this scenario, we can integrate out p X analytically, giving Pr(X | pA, d X) which follows a β-binomial distribution.

Solutions are derived by a nonsmooth optimization technique analytically and given in full generality.

These methods require a computation of the gradient of the penalty function ϕ with respect to the model parameters, i.e. (18)While the gradient of the regularization term is easily calculated analytically and given by (19 the calculation of the data misfit gradient is more challenging.

The marginal probability of the data is available analytically and given by (1) where Γ denotes the Gamma function.