Sentence examples for generated prescribed from inspiring English sources

To conclude this introduction we should also emphasise that while we have considered the more general case of generated prescribed Jacobian equations our results are also new for optimal transportation.

Using the estimates, (3.12) and (3.13), we can thus conclude from Theorem 1.1, the following global second derivative estimate for generated prescribed Jacobian equations.

The existence of locally smooth solutions to the second boundary value problem for generated prescribed Jacobian equations is treated in [16] under conditions A1, A2, A1*, A3 and A4w.

We shall establish the second derivative bounds for generated prescribed Jacobian equations under the hypotheses G1, G2, G1*, G3w and G4w introduced in [16], which extend the conditions A1, A2 and A3w for optimal transportation equations introduced in [20].

3, we will also discuss the application of Theorem 1.1 to global second derivative estimates for the Dirichlet and second boundary value problems for optimal transportation and generated prescribed Jacobian equations, yielding improvements of the corresponding results in [4, 13, 14, 20].

The matrix function A in the corresponding generated prescribed Jacobian equation is then given by A ( x, u, p ) = - Y p - 1 ( Y x + Y u ⊗ p ) = g x x [ x, Y, Z ], (1.2 where Y = Y ( x, u, p ) and Z = Z ( x, u, p ).

The problem of generating prescribed strain waves in an elastic bar by means of a pair of piezoelectric actuators driven in phase by a linear power amplifier was considered theoretically and experimentally.

Initially, we explored using Medicaid pharmacy data to both generate prescribing profiles and to measure changes in behavior following our intervention.

Shear bands were generated under prescribed and controlled conditions in an AISI 304L stainless steel (Fe 18%Cr 8%Ni).

This, once again, prevented us from generating the prescribed operating signals.

First, the problem of performance estimation is formulated by a numerical variational method so that the turbine generates a prescribed torque with minimum propulsion power of the propeller and without loss of the required thrust of the combined system.