Sentence examples for forceful tools from inspiring English sources

In particular, the well-known Banach contraction principle is one of the forceful tools in nonlinear analysis, which states that every contraction self-mapping T on complete metric spaces ( X, d ) (i.e., d ( T x, T y ) ≤ k d ( x, y ) for all x, y ∈ X, where k ∈ [ 0, 1 ) ) has a unique fixed point.

This principle is a forceful tool in nonlinear analysis.

The Banach contraction principle is a very forceful tool in nonlinear analysis.

The Banach contraction principle [3, 4] is an elegant, forceful tool in nonlinear analysis and has many generalizations.

Then there exists a unique fixed point x 0 ∈ X of T. This theorem, called the Banach contraction principle, is a forceful tool in nonlinear analysis.

Silva captures that melancholia and uses it as a forceful tool in Allon's attitude toward his native country, his career and his relationship with other characters.

Ayten is a forceful creature.

When viewed in the context of earlier research, our findings suggest that obesity, diabetes, use of hand-held vibratory tools, and repeated forceful movements of the wrist and hand are causes of impaired median nerve function.

We propose that the physiological abnormalities associated with obesity and diabetes, and the physical stresses to tissues from use of hand-held vibratory tools and repeated forceful movements of the wrist and hand, all cause impaired function of the median nerve, which in turn can give rise to sensory symptoms in the hand.

A question about the frequency with which they handled tools or equipment demanding a forceful grip to the equivalent of lifting 1 kg or more had the alternatives of seldom or never, several times per day, several times per hour, and several times per minute.

This theorem is very forceful and simple, and it became a classical tool in nonlinear analysis.