Sentence examples for strongest necessary from inspiring English sources

Intuitively, the strongest necessary condition of a proposition is the most general consequence that we can deduce from the proposition under the given theory, and the weakest sufficient condition is the most general abduction that we can make from the proposition under the given theory.

Given a propositional theory T and a proposition q, a sufficient condition of q is one that will make q true under T, and a necessary condition of q is one that has to be true for q to be true under T. In this paper, we propose a notion of strongest necessary and weakest sufficient conditions.

They are thus disinclined to posit any strong, necessary link between evaluative judgment and action.

A stronger necessary condition is the equivalent structures approach, which is an algebraic identification technique (Paxton et al. 2011).

The following stronger necessary condition was also obtained in [51] by using the trace class criterion for Hankel operators.

More importantly, these methods are extended to derive linear programming conditions that are stronger necessary conditions than have proposed previously by Glasser and Hildebrandt.

The first necessary conditions for the inequality-constrained problem have been presented in 1948 by Fritz John; while stronger necessary conditions for the same inequality-constrained problem were obtained in 1951 by Kuhn and Tucker.

This is because self-efficacy influences the motivation and ability to engage in specific activities (Bandura, 1977) and is a strong, necessary condition of creative productivity, and in discovering new knowledge (Bandura, 1997).

The Markey bill would put institutions on notice that looking the other way and failing to take strong, necessary action when there are signs of abuse by an employee or representative is dangerous.

It consists in the verification of several strong necessary conditions that can be checked in a fast way.

Our data therefore suggest that poor understanding alone is neither a strong necessary nor sufficient condition for a lack of DMC and that understanding needs to be considered in relation to appreciation and reasoning to have a bearing on DMC.