Sentence examples for by an analytic solution from inspiring English sources

In the DQM, the states of individual neurons at the next predicted discontinuous points are determined by an analytic solution, meaning an optimal performance in both accuracy and speed.

The temperature profile inside the droplet is given by an analytic solution of the thermal diffusion equation assuming a uniform cooling ( ∂T/ ∂t does not depend on r) and a constant value of qs (Miura et al., 2010).

Unlike the normative model, these fits were greatly simplified by an analytic solution for the stationary standard derivation of the log-odds, given the current coherence and model parameters: σ i s n = k i 〈 | C i s n | 〉 / K i s.

Another work was proposed by using an analytic solution to handle the Lyapunov functionals in [18].

We can examine the correspondence between strain gradient and classical elasticity by using an analytic solution.

Next a simplified version of our model is verified by comparison to an analytic solution to the tube dilation problem.

The fundamental solutions are implemented in an existing DDM code, FRACOD, and the method is verified by some examples with an analytic solution and finite element method.

For the impulse response functions of the beam and stop required by the analysis procedure, an analytic solution is used for the beam and a finite element method solution is used for the stop.

By employing fully developed flow assumptions an analytic solution for steady 2D-channel flow is found.

Proof By Theorems 1-3, we can find an analytic solution g of the geometric difference equation (9) in the form of (10) such that g ( 0 ) = 0 and g ′ ( 0 ) = η ≠ 0. Clearly, the inverse g − 1 is analytic in a neighborhood of the point g ( 0 ) = 0. Let f ( x ) = − a b z + 1 b g ( α g − 1 ( z ) ) + Λ ( z, g ( α g − 1 ( z ) ) ), which is also analytic in a neighborhood of the origin.

To this end, an analytic solution is derived by extension of the composite spheres model known from the literature.