Sentence examples for relate the solution from inspiring English sources

In this work, we present a probabilistic approach: we use a Feynman Kac formula to relate the solution of the growth-fragmentation equation to the semigroup of a Markov process, and characterise the rate of decay or growth in terms of this process.

Next, the following result relates the solution between problems (P_{rho}) and (tilde{P}_{rho}).

Reasoning is indicated by the concluding conjunction so, which relates the solution to previously given criteria.

The following relationship (see, e.g., Theorem 3.1 in [9]) relates the solution set of ( P x ) and that of (2).

The following relationship (see, e.g., Theorem 3.1 in [22]) relates the solution set of ((P_{x})) and that of problem (2).

When the weakly efficient solutions are considered for the lower-level problem (1.3), the relationship (see e.g. [16]) relates the solution set of this problem and that of (3.1) as follows.

A generalization of celebrated Minty lemma, relating the solutions of the two problems, has been proved.

Here by learning we imply that for a specific task and a class of functions, there is a set of observations to find that that relates the solutions of the set of functions.

The correspondence theorem which relates the solutions of displacement boundary value problems in classical and couple stress elasticity is formulated and applied to derive the solutions for edge and screw dislocations in an infinite medium.

Solid-solution activity coefficients finally allow to relate the solid-solution composition to an aqueous solution composition in thermodynamic equilibrium with the mixed solid.

Generalized analytical formulas are established which relate the exact solutions to corresponding time-independent auxiliary solutions.