Sentence examples for principal contraction from inspiring English sources

In 1922, Banach proved the principal contraction result [1].

Therefore, by Banach contraction principal, has a unique fixed point.

Therefore, by Banachs contraction principal, P F ( I - μ F + γ f ) has a unique fixed point x*.

This is demonstrated clearly for 2 through calculation of the principal axes of contraction relative to the crystallographic axes and relating the results to the unit-cell contents.

By the Contraction Mapping Principal, there exists a unique solution of (3.1) and the proof is complete.

It is well known that the classical contraction mapping principal of Banach is one of the most useful and fundamental results in the theory of fixed point.

By Banach contraction mapping principal, we see that there exists a unique fixed point x n ∈ C such that x n = W n ( x n ) = α n x n - 1 + β n T i ( n ) j ( n ) ( α ′ n x + β ′ n S i ( n ) j ( n ) x + γ ′ n v n ) + γ n u n, ∀ n ≥ 1.

During cavity contraction, the intermediate principal stress improves the magnitude of k more significantly than dilation, whereas dilation has a greater effect during cavity expansion.

The dominant principal strain axes are E‒W contraction in the offshore area and in a limited area along the Pacific coast in the central Tohoku district.

The diagrams in Figure 12 illustrate in a simplified manner the principal difference between the two contraction mechanisms, that at a cleavage furrow and that at a phagocytic cup.

It consists of identifying those experimental conditions for the next experiment which maximize the smallest eigenvalue of XTX, resulting in maximal contraction of the largest principal axis of the confidence hyperellipsoid.