Sentence examples for the overall proof from inspiring English sources

In this case study, visual thinking is shown to contribute to discovery in several ways; in particular, by leading the mathematicians to notice crucial properties the "definitions are based on the diagrams"—and in giving them the ideas for parts of the overall proof.

Furthermore, we introduce a uniform concept for contextual reasoning, and sketch basic tacticals for the definition of tactics to organise the overall proof-search inside and across different reasoning levels.

However, the development of techniques and methodologies to integrate such a logic engine into an overall proof assistant has gained less attention.

The protests come as known efforts at illegal crossings — measured by the number of people detained at the border — have fallen 17percentthis yearafterfter declining 20percentt in 2007, figures that Chief David V. Aguilar of the Border Patrol points to as proof that the overall approach to border enforcement is working.

Stability proof of the overall closed-loop system is given via the Lyapunov direct method.

Hets supports heterogeneous specifications and provides capabilities for monitoring the overall correctness of a heterogeneous proof.

Stability proof of the overall system is given in terms of Lyapunov concept.

It must be emphasized that tandem MS data are not unequivocal proof of the overall structures, and that further chemical analysis will be needed to confirm this preliminary assignment and exact chemical structures of the compounds.

Similarly, other sections contain material that doesn't directly impact the overall story, such as the proof that the Two's Company model agrees with Eq. (5).

Stability proofs of the overall strategy require estimates of the Region of Attraction (ROA) for each controller, that are discussed in the paper.

Proof Consider that the overall graph is a CM-based graph with l articulation points, where l < p.