Sentence examples for determine solutions of from inspiring English sources

Maple programming is used to determine solutions of examples.

In the latter half of the nineteenth century, Sophus Lie (1842-1899) develoned ofe of the most powerful methods to determine solutions of differential equations.

In order to determine solutions of the initial-boundary-value problem (9 - 13), we use the Laplace transform with respect to variable t [29].

Equations (8.2) are usually referred to as determining or bifurcation equations [3, 12] because their roots determine solutions of the original problem.

In this paper, we have demonstrated, in a systematic manner, that if our concern is to determine solutions of singular integral equations in which the unknown function, the kernel, as well as the forcing term are all functions of real variables, then methods based on the theory of functions of real variables only help in finding out the all wanted real valued solution function.

Similarly to [1], the assumptions of the theorem then allow one to construct a non-degenerate deformation of Φ m into the vector field ∋ Ω 2 ↦ H. the singular points of which determine solutions of problem (1), (2) satisfying condition (47), and use the homotopy invariance of the degree.

The basic ABS methods determine solution of the above systems or signify lack of its existence in at most m iterates.

Configuration systems exploit a knowledge base for determining solutions of interest for the user.

The main idea is to construct the reproducing kernel space satisfying the conditions for determining solution of the new type of Emden Fowler equations stated in the third and forth order.

Extinction coefficients used to determine solution concentrations of Cy3-labeled 25 were ε280 = 38 000 M–1 cm–1 and ε552 = 150 000 M–1 cm–1 in water.

Artificial ants iteratively construct solutions based on the quality of already determined solutions (through the indirect influence of pheromone updates in the search space).