Sentence examples for contracting operator from inspiring English sources

end{aligned} That is to say, T is a contracting operator on (C_{2-alpha }(J)).

We first show that T ε is a contracting operator from X × X × X to X × X × X.

Choosing ε > 0 small so that C ε α − β < 1 4, we see that T 1 ε is a contracting operator from X × X to X × X.

We will show for ε > 0 small that T ε : X × X × X → X × X × X. is a contracting operator and T ε : Y × Y × Y → Y × Y × Y .is a shrinking operator.

Therefore, T ε is a contracting operator from X × X × X to X × X × X. Next, we verify that T ε is a shrinking operator from Y × Y × Y to Y × Y × Y.

We give a new proof of a theorem of Hubbard and Oberste-Vorth (Real and Complex Dynamical Systems, pp. 89-132, 1995) for Hénon maps that are perturbations of a hyperbolic polynomial and obtain the Julia set (J^) inside a polydisk as the image of the fixed point of a contracting operator.

Similarly, T 2 ε and T 3 ε are also contracting operators from X × X to X × X.

There are no phone contracts, operator subsidies or even a preference for 3G connections.

Crucially, in assessing the performance of each operator on CSQI, we must identify those attributes that the contracted operator has no control over and ensure that any benchmarking of their performance separates out these attributes and only benchmarks on the basis of attributes the operator has control over.

He also said new contract operators got 24 hours of off-site training and 8 hours on-site.

Under Chris Grayling's price-competitive tendering system we stand to lose our small high-street solicitor firms who know the problems of their clients, and find in their place big multiple-contract operators who, no doubt attracted by the prospect of fixed fees and minimum outlay, will use overworked, underpaid and inexperienced paralegals to represent some of the most vulnerable in society.