Sentence examples for within proof from inspiring English sources

Proofs for the existence of God, therefore, are not attempts at producing demonstrations that convince or even fulfil the scientific parameters within proof theory, but are mere reminders to what we already know in our souls and hence corroborate and support faith in the One.

This was applied within the first author's doctoral thesis as part within the proof of concept, which appeared as [10].

While the King hearings are raising the specter of American Muslims as an enemy within, the proof of American Muslim patriotism exists literally beneath the Capitol dome.

This approach is of functional style based on inductive definitions and a high-order type theory realized within Coq proof assistant.

Because ignition of an explosive atmosphere is expected within explosion proof or flameproof enclosures, there is a need to consider the potential for an internal explosive atmosphere ignition in combination with a lithium or lithium-ion battery thermal runaway process, and the resulting effects on the enclosure.

An index was defined and subsequently applied within a proof of concept.

In other terms, the flow of information within the proof is constrained by an explicit structure of contexts, ordered by a relation of subordination.

Within this proof we sketch a construction allowing us to find a particular one that will be useful to us.

In other cases, the bound is used to show that certificates may be verified in polynomial time, within a proof of NP-completeness.

Within the proof of concept study using bamboo as exemplary plant, an LCA of the near net shape grown components as well as of conventionally manufactured equivalents has to be conducted.

Since X and Y contain only integer entries, it follows that Z contains only integer entries, and thus Z [ i - 1, j] -  Z [ i, j] is an integer within D. Proof of lemma 4 : Since both x and y are D-discrete, for every 0 <  i <  q, x i  <  x0 +  ib and y0 +  ia ≤  y i.