Sentence examples for thus classical from inspiring English sources

Thus, classical propositional logic is not logically two-valued in this sense.

Concavity of the Bayesian KL-optimality criterion is proved, thus classical results of Optimal Design Theory can be applied.

(Thus classical logic with nonrigid designators is possible only if we require for each singular term t that at each world w, t denotes some object in Dw).

Thus classical wear-resistant coating like CrN, CrAlN, TiAlN in most cases are not sufficient for hot forming tools in industrial applications.

Thus, classical analytical tools for studying standard system properties like observability, which is very important in estimator design, cannot be directly applied.

Thus, classical elements of firefly are used to determine q k and also discrete firefly is used for obtaining x k in this paper.

We show that the interaction between the two systems is critical in these behavioral phenomena and thus, neither classical RL nor classical HR theories can account for them.

Thus, both classical and non-classical MHC class I molecules might contribute to disease protection in β2m-intact BWF1 mice.

Thus at Classical Athens the 10-tribe citizen system determined the organization of the hoplite army but is much less important in the manning of the fleet.

Thus, the classical version appears to be motivated not by empirical evidence but by epistemological concerns.

Thus, these classical algorithms are not quit applicable to multi-objective problems.