Sentence examples for associated with the solutions from inspiring English sources

In this paper we study the polytope associated with the solutions to that problem.

To examine the specific hardware performance and trade-offs associated with the solutions presented here, the architecture is first verified in Matlab for the image parameters.

This is seen by comparing the amount of "wall heating" associated with the solutions to Noh's shock reflection problem computed in each reference frame.

We are concerned with the existence of uniform attractors for the process associated with the solutions of the following non-autonomous p-Laplacian equation: u t − Δ p u + | u | p − 2 u + f ( u ) = g ( x, t ), ( x, t ) ∈ Ω × R. (1).

Define real subsets A : = [ b 1 − a, ∞ ) and B : = ( − ∞, b a − 1 ] of empty intersection whose Euclidean distance is D = 2 b 1 − a ≥ 0 and consider maps S, T : ( − ∞, b a − 1 ] → ( − ∞, b a − 1 ] being associated with the solutions of both dynamic systems which fulfil the necessary condition of Lemma 2.1 d ( x, S x ) ≤ d ( x, T x ) everywhere in their definition domain.

On the other hand, the folding part exists only for the Bcd profiles associated with the solutions from class I, with all expression borders formed correctly, which means that an essential portion of the artificial variation of the gt and Kr borders can be excluded from the consideration without affecting the folding form of the curve.

These will take a back seat to the good feelings associated with the solution of a very important but secondary problem.

Finally, the limitations associated with the solution are discussed.

where K ( 1 ) is an integration constant associated with the solution of the previous equation.

where K ( 2 ) is an integration constant associated with the solution of the previous differential equation.

The surface grains of the Cu2O film showed shape evolution associated with the solution pH and the orientation.