Sentence examples for by applying a variational from inspiring English sources

Int J Solids Struct 2007 44:895–925] by applying a variational procedure and minimizing a response functional corresponding to the wear-dissipation power.

A novel hierarchical probabilistic model, namely csGM-LDA, is presented by combining the labeling strength of topic supervision with the flexibility of topic discovery, and can be effectively modeled by applying a variational EM algorithm.

The core contributions of this paper are listed as follows: A novel hierarchical probabilistic model, namely csGM-LDA, is presented by combining the labeling strength of topic supervision with the flexibility of topic discovery, and can be effectively modeled by applying a variational EM algorithm.

Applying a variational approach, the feasible region in the design space of the 12 lamination parameters is numerically obtained.

Finish by applying an overglaze.

We apply a variational formulation to the nonlinear field equations in order to find a weak form, which can be solved numerically by using open-source codes.

This statement is not entirely valid because perturbation is not variation such that it may be corrected by applying the variational principle to eq. (2), for example.

For any w ∈ L p , we get that the following problem has a unique solution v ∈ W 0 1, p ∩ L ∞ by applying the variational method to { − div ( | ∇ v | p − 2 ∇ v ) = f n ( x ) ( | w | + 1 n ) α, x ∈ Ω, v = 0, x ∈ ∂ Ω. (2.2).

By applying the variational principle to the dual variables, the wave propagation problem is transformed into a two-dimensional symplectic eigenvalue problem.

Conditions for resonance are obtained by applying the variational iteration method-II (VIM-II), which should be avoided in the cushioning packaging design.

t ∈ [ 0, 2 π ], together with the Landesman-Lazer type condition, Jiang [9] obtained the existence of solutions of (1.1) by applying the variational methods and symplectic transformations.