Sentence examples for need for proving from inspiring English sources

Our approach is fundamentally reusable, thus addressing the increasing complexity of manycore architectures as well as alleviating the need for proving expertise.

This paper motivates the need for proving properties of states in the situation calculus, proposes appropriate induction principles for this task, and gives examples of their use in databases and for reasoning about the physical world.

These general results supersede a number of published results for specific basis networks and obviate the need for proving Hamiltonicity or Hamiltonian connectivity for many other basis networks of practical interest.

This general closure property for Hamiltonicity under swap or OTIS composition replaces a number of proofs in the literature for specific basis networks and obviates the need for proving Hamiltonicity for many other basis networks of potential practical interest.

They represent a technical challenge at industrial level and the need for proven techniques and manufacturing processes in accordance to the highest quality standards.

There is a critical need for proven drugs other than non-steroidal anti-inflammatory drugs for treatment of degenerative joint disease (DJD) pain in dogs.

The variability in patient characteristics and response to ART dictate the need for proven, personalized diagnostic and therapeutic approaches to optimize efficacy and safety outcomes (Fauser et al., 2008).

The following results are needed for proving our results.

The following result is needed for proving strong convergence of Halpern iteration process for G-nonexpansive mapping in Hilbert spaces endowed with a directed graph.

A crucial result needed for proving these results is a central limit lemma for weighted degenerate U statistics where the weights are arrays of some non-random real numbers.

This result, which is obtained from Theorem 3.1 of [10] by eliminating the parameter (lambda ^) and redefining the Lagrange multipliers, will be needed for proving strong and strict converse duality theorems.