Sentence examples for forceful tool in from inspiring English sources

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.

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

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

For students with a special interest in learning how to make forceful arguments in written form.

Nowadays, they are a forceful voice in American politics.

The speech was detailed, forceful, and, in parts, moving.