Sentence examples for under substitution from inspiring English sources

For a component under substitution, a Component Behaviour Test Suite is built to be later applied on candidate replacement components.

Later, Scroggs (1951) will prove that every proper extension of S5 that preserves detachment for material implication and is closed under substitution has a finite characteristic matrix.

Tarski only explicitly considered closed sets also closed under substitution instances for some consequence relations; he never considered (at least explicitly) the substitution invariance condition for consequence relations.

Logical matrices where first used as models of the theorems of specific logic systems, for instance in the work of McKinsey and Tarski, and also to define sets of formulas with similar properties to the set of theorems of a logic system, namely closure under substitution instances.

Moreover, they were also used to define sets of formulas with similar properties to the ones the sets of theorems of the known logical deduction systems have, in particular the property of being closed under substitution instances and more recently logical matrices have also been used to define logics as consequence relations.

Today, "we estimate that we have 50,000, most of them under substitution treatment," said Goulão before adding that he's recently seen a small uptick in use of the drug, predominantly among former addicts that got clean.

that is, CLT is the set of formulas that follow from Γ and T according to L. It turns out that T is closed under substitutions if and only if CLT is substitution-invariant.

Assume also that mutation counts have a Poisson distribution, which is exactly true under simple substitution models (Kimura's 3 parameter model or simpler), and approximately true under more complicated models.

It is clear that under the substitution (4.2), (D^{ [ alpha ] }u) transforms to (D^{alpha }u).

Moreover, under the substitution (3.7) the problem (3.1 - 3.2 3.1 - 3.2to the nondegenereducesP (3.9).

Between 1962 and 1985, the Turkish economy developed under import substitution industrialization, with regulations based on domestic consumption growth strategies.