Sentence examples for by straightforward application of from inspiring English sources

This is shown by straightforward application of the properties listed in section 2. Equation 8 follows from the fact that h 2 ( P 1 ′, r 11 ) β + h 2 ( P 2 ′, r 12 ) ( 1 − β ) − h 2 ( P 1, r 11 ) β − h 2 ( P 2, r 12 ) ( 1 − β ) ≥ 0 (9).

These equations can be solved by a straightforward application of boundary element techniques.

Thirty-eight, living "the normal applauseless life of us all" in Haddam, New Jersey, Frank's "no-frills voice" uncovered "simple truth by a straightforward application of the facts".

With this feature in mind, this chapter is dedicated to improving the simultaneous design efficiency by a straightforward application of the NEXP model to approximate the material microstructure behavior.

One result of these complex interactions is the presence of differential responses across brain regions that may be incompletely modeled by a straightforward application of standard general linear model (GLM) approaches based solely on the applied stimulus.

The following lemma is obtained by a straightforward application of the definition of the automorphisms above and the definition of the operation.

From this, the number of non-isomorphic bond sets of a certain size can be calculated by a straightforward application of Pólya's Enumeration Theorem [33]: decalin has four non-isomorphic bond sets of size one, 182 non-isomorphic bond sets of size two, 47 non-isomorphic bond sets of size three, and 92 non-isomorphic bond sets of size four.

The direct kinematic problem is solved by a quite straightforward application of the model.

We show how to extend these techniques to take account of fault tolerance by a conceptually straightforward application of Bayesian inference.

The definition of information accretion and the use of a probabilistic framework defined by the Bayesian network enables the straightforward application of information accretion to weight each term in the ontology.

The unconstrained functionals allow a straightforward application of conjugate gradients by removing the explicit orthonormality constraints on the quantum-mechanical wave functions.