Sentence examples for problems necessary for from inspiring English sources

This and other papers on the subject were recognised with a prize from the IEEE Information Theory Society; they possessed a superior understanding of multidimensional geometry, and they were solving crucial problems necessary for higher-dimensional coding.

By indexing problems with this framework (we call it "semantics of constraints: SOC"), it becomes possible to automatically extract the "differences between problems" necessary for the comparison and sequencing of problems.

This subsumes errors due to the modeling process as well as discretizations of the problem necessary for its numerical solution.

Effective preconditioning of neutron diffusion problems is necessary for the development of efficient DSA schemes for neutron transport problems.

Through a linear perturbation analysis on the odd even decoupling problem, necessary conditions for designing a shock stable scheme are discussed.

Generally, two sub-problems are necessary for solving the problem.

What's more, Dr. Findley added, most therapists today do not believe that digging into the psyche to reveal the root of the problem is necessary for effective treatment.

– that a negotiated solution to the Israeli-Palestinian problem is necessary for wider peace in the region.

All of this matters for the precise and demanding problem-solving necessary for good software testing.

Even though irrelevant discussions may be useful, relevancy of discussions to the problem is necessary for effective learning.

These three mechanisms – 'There is help for this problem', 'It's safe to tell' and 'We can work together to address this problem' – appeared necessary for the primary mechanism, 'Rape is risky', to bring about reduced risk and incidence, and proved to be central to desired outcomes in the stand-alone interventions as well.