Sentence examples for rational operations from inspiring English sources

Mathematicians for a long time had used explicit formulas, involving only rational operations and extractions of roots, for the solution of equations up to degree four, but they had been defeated by equations of degree five and higher.

This progression has proved quite useful for handling those limited classes of communications that arise out of certain structured, rational operations, like those in economics, inductively oriented sociology, experimental psychology, and other behavioral and social sciences, as well as in most of the natural sciences.

These models support semantic description and rational operations of the application, and facilitate travel service discovery, process execution and business to business integration.

Like Viéte's formula (6), Wallis had found π in the form of an infinite product, but he was the first in history whose infinite sequence involved only rational operations.

One way to prevent the recurrence of such problems is to maintain a rational operations schedule that guarantees no sudden increase in workload for surgeons.

Establishment of a life evaluation method for structural components is essential for the rational operation and maintenance of light water reactor plants.

The resulting models are used for the analysis of the robot operators' decisions in search of accurate operation positions, and this in turn helps to clarify a rational operation strategy for making use of an invariant frame of reference in the position search space.

Taking as example a multipurpose dam in Greece, we wish to show that by following a rational operation policy, where the improvement of the broader environmental system becomes a high-priority target, it is possible to achieve a much more efficient allocation of its "traditional" water uses.

In that case, it follows from (13) that rational upsampling operations would be required prior to the subfilter convolution, thus complicating the design of time-invariant structures.

The results of the study support the need to plan and perform rational reclamation operations in abandoned biopharmaceutical waste areas, implementing biocontainment strategies and personal and environmental safety measures.

It is clear that landholding has become tied to cultivation; fragmentation and diseconomies of scale have been avoided, and cultivation has become a rational economic operation.