Sentence examples for usual formulation from inspiring English sources

In contrast to the usual formulation, however, the hypothetical costs of the proposed policies were formulated as a percentage change in taxes.

That is the usual formulation.

The possibility of resorting to thisnesses might make us query whether the usual formulation of the Principle is correct.

The essential assertion of Theorem 3.3 is that any morphism is right determined by some module, the usual formulation of Auslander's First Theorem.

We will work with a definition of the zeroleakage property that is a bit stricter than the usual formulation [7], which pertains to mutual information.

As the usual formulation of degenerated beam elements overestimates their torsional rigidity, a torsion correction factor is introduced for different lamination schemes.

In the usual formulations of first-order logic, for instance, there are "existential presuppositions" present to the effect that none of the singular terms employed is without a bearer (as "Pegasus" is).

The most usual formulations of the topology optimization problem try to obtain the structure of maximum stiffness.

More precisely, they prove that all of the usual formulations of the Löwenheim-Skolem theorem are independent of a certain strong form of intuitionistic set theory, and they show that these formulations are also straightforwardly falsified by principles which many constructivists would want to accept.

As usual in cases involving the Eighth Amendment, the justices debated whether the Constitution should consider, in a one common formulation, "the evolving standards of decency that mark the progress of a maturing society".

This was a departure from the usual White House formulation that Mr. Arafat had been a "disappointment" and that he should act to quell terrorism.