Sentence examples for constructive proof from inspiring English sources

In this paper we present a direct constructive proof.

A constructive proof is given for the existence of load functions.

In this paper we give a constructive proof of that theorem.

Recently, there has been much interest in developing a constructive proof of the Lemma, primarily via Friedman's A-translation.

The constructive proof of this fact leads to an efficient computer algorithm for the design of a lattice.

More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time.

He sought general existence proofs, rather than "constructive proofs" that actually produce the objects.

The NuPRL system [3] was designed for interactive writing of machine checked constructive proofs and for extracting algorithms from the proofs.

The second treats demand and supply in a system of nonparametric simultaneous equations, leading to constructive proofs exploiting exogenous variation in demand shifters and cost shifters.

The main result is applied to non-linear wave or plate equations, in some cases direct constructive proofs of the Łojasiewicz gradient inequality are given, applicable to some non-analytic functionals in presence of multiple critical points.

We provide constructive proofs of identification under several sets of conditions, demonstrating some of the available tradeoffs between conditions on the support of the instruments, restrictions on the joint distribution of the structural errors, and restrictions on the form of the residual index function.