Sentence examples for define and prove from inspiring English sources

Since he joined "Kaun Banega Crorepati," the Indian version of "Who Wants to Be a Millionaire," in 2000, he has come to define, and prove indispensable to the quiz show that offers ordinary Indians a chance to win 50 million rupees ($911,000).

In the following, we define and prove the variational framework of the dynamic equation (1).

We show how these semantic embeddings are used to define and prove a relationship between the semantic models by using the powerful induction mechanism of PVS.

In this section, we define and prove the weak convergence theorem of the modified Ishikawa iteration process for asymptotic pointwise nonexpansive mappings in a complete hyperbolic 2-uniformly convex metric space ( M, d ).

Besides the declaration of inductive types and functions, we can define and prove theorems in Coq. Figure 1 shows an example of a simple theorem about function plus, namely that, for an arbitrary value n of type nat, we have that plus n 0 = n.

Just, as many men from my generation adopted hip hop culture as a way to define and prove our masculinity, when we identify ourselves with men who are physically powerful and athletically gifted we are attempting to bolster our individual masculinity.

The borderline between flirtation and harassment is hard to define; and proving that someone has crossed it is harder still.

We need politicians to act on already defined and proven ways to get off fossil fuels.

In this paper the problem is mathematically defined and proven NP-complete.

In addition, the system properties of incremental composition, partial testability and global deadlock-free operation are formally defined and proven in the formalism.

Besides, a lack of defined and proven standards as well as transparency causes a decline of the learning system during the continuous operation.