Sentence examples for proofs provided from inspiring English sources

In order to calculate and compare the candidate services while supporting tradeoffs between performance costs and potential risks in different time periods, we established a cloud service interval neutrosophic set (CINS) and designed its operators and calculation rules, with theoretical proofs provided.

We can prove them by differentiating (3.2) twice with respect to time and following the proofs provided in [7].

Following the proofs provided in [1, 20, 22, 23], we can obtain that problem (2.2) possesses a unique solution ((u,p,theta)) with the following regularity properties.

Finally, we know that the association between IH and PRES is only a presumption and that there are some limitations of our single experience and of the proofs provided.

Even considering the limitations of our single experience and of the proofs provided, we look forward with a great interest to other reports that could eventually clarifying the relationship between IH and PRES.

Her drafts and proofs provide literal renderings of the original and plenty of signposts, but the final authority is his.

The trace of the proofs provides a basis for generating human comprehensible answer justifications.

However, not all logically cogent proofs provide us with the kind of demonstration that yields scientific knowledge.

Such proofs provide provenance for each result, indicating in detail how they were computed.

See also Hörfelt (2005) for Theorem 3 with a different proof (provided by H.L. Pedersen).

This proof is an extension of the proof provided byRogers and Veraart (2013) and proceeds in three steps.