Sentence examples for completion of the proof from inspiring English sources
Completion of the proof of Theorem 1.2.
The completion of the proof of Case 1 rests on the following two claims: let (epsilon
The completion of the proof of Theorem 2.5 by using Schur, Hardy-Littlewood-Pólya and Karamata's theorem.
which consequently leads to the completion of the proof, that is, specified in (2.8) is the unique solution of the problems (2.6) and (2.7).
which consequently leads to the completion of the proof, that is, specified in (2.2) is the unique solution of the problems (2.1).
Completion of the proof for Theorem 1.1: For some fixed (j>max_{tin[0,kappa]}f(t)), we adopt some ideas in [30] to construct the multi-bump solutions of the truncation problem (2.4).
A dual aspect of search is to try to look for a previously proved result that could be useful in the completion of the current proof.
The work reported in these issues represents progress toward completion of the CC, proof-of-principle experiments using incipient inbred CC mice, and new research areas and complementary resources facilitated by the CC project.
When Pragmatism became a popular movement in the early 1900s, Peirce was dissatisfied both with all of the forms of Pragmatism then current and with his own original exposition of it, and his last productive years were devoted in large part to its radical revision and systematic completion and to the proof of the principle of what he by then had come to call "pragmaticism".
SCHOOL COMPLETION -- Concerning the first output, school completion, the proof revealed that of those New York City ninth graders who do not transfer to another school system, only 50percentt graduate in four years, and 30percentt do not graduate or receive a general equivalency degree... by the age of 21, when they cease to be eligible for free public education.
Experience has shown that the analysis of counterexamples or failed proof attempts often holds the key to the completion of proofs and for the correction of a faulty model.
