Sentence examples for regularity in order to from inspiring English sources

This, in turn, allows us to assume additional regularity in order to show consistency in a weaker space X.

In this paper, a semi-local convergence analysis of the Gauss-Newton method for convex composite optimization is presented using the concept of quasi-regularity in order to approximate fixed points in optimization.

Traditional techniques for indexing these collections fail to properly exploit their regularities in order to reduce space.

Approached from this angle, what wants an explanation is why one would subordinate indispensable patterns and regularities in order to emphasize what is idiosyncratic and unique.

One must understand those regularities in order to analyze the relations between pattern and process.

Discipline and regularity are essential elements in order to normalize aberrant behaviors [3].

Consequently, if PT journeys are to increase, action must be taken with regard to the speed and regularity of PT services in order to be able to compete on a rigorous basis with cars.

In particular, they propose to exploit the relation between the variation of contrast at different resolutions and the local Lipschitz regularity of the image, in order to classify each pixel as noise pixel, edge pixel, or pixel belonging to a smooth region.

Adam Smith seems to have been one of few 18th century figures to have taken it seriously (Schliesser 2005a and 2005b).) Recall (from section 4.2) that Newton's Rule IV can be viewed as (1) an encouragement to find and exploit known deviations from the regularities one has established in order to make them "more exact".

In this paper, we need both the regularity and the Markovian structure, in order to utilize the viscosity theory of PDEs.

The main idea is to use the self-similarity of the fundamental solution of the linear part of the equation and the regularity of the Fokker Planck operator in order to study the large-time distribution of particles.