The phrase "application of relations" is correct and usable in written English.
It can be used in contexts discussing the implementation or use of relationships, often in fields like mathematics, sociology, or computer science.
Example: "The application of relations in this study helps to clarify the connections between different variables."
Alternatives: "use of relationships" or "implementation of connections".
Using this fact, the authors propose a new method for the selection of the boundary conditions and the mathematical model for chemical reactors, based on the application of invariant relations.
It is shown how the use of series expansions, continued fractions, and uniform asymptotic expansions, together with the application of recurrence relations over degrees and orders, permits the evaluation of the whole set of toroidal functions for a wide range of arguments, orders, and degrees.
Therefore it is essential to estimate the errors that occur in the calculations due to the application of simplified relations (12).
Each computation (Theta _i) corresponds to a sequence Y of applications of Minsky relations and commutativity relations (by Property 3.1).
An application of this relation provides a complete recursion for counts of real rational curves with such constraints in odd-dimensional projective spaces.
His book "Strategic Depth," published in Turkish in 2001, is regarded as the seminal application of international-relations theory to Turkey, though it is also a work of civilizational history and philosophy.
Double application of Wigner D-matrix relation, reduces the problem to specific case, where the overlap integral is transformed from R3 to R2.
The application of the relation of incommensurability is no longer restricted to diachronic episodes of scientific advance in which two theories are separated by a revolution.
For r ≥ 1, the assertion follows by subsequent application of the relation h ˆ r ( t, t ) = ∫ t t h ˆ r − 1 ( τ, t ) ∇ τ = 0, where the zero value is implied by (4).
