Sentence examples for boundary values of the from inspiring English sources

Let the boundary values of the multi-valued analytic function F be given by F = ψ + i φ. (20).

Various discontinuity terms are obtained and expressed by the boundary values of the modal displacement in a recursive way.

The PDEs themselves are self-consistently specified by parameters which are functions of the boundary values of the solution.

Firstly, the inlet boundary values of the mean wind velocity in the mountainous area were provided by the Weather Research and Forecasting (WRF) mesoscale model.

An approximation of the Dirichlet Neumann operator is made that transforms the boundary values of the velocity potential, φ, at the water surface into values of φz.

A previously developed Burke Schumann (flame-sheet) formulation is employed to estimate the boundary values of the mass fractions of the reactants.

The boundary values of these parameters, needed for the depletion-to-enrichment crossover, are predicted to decrease with increasing temperature.

The range can be considered as the boundary value of the plastic zone.

If the output is not a boundary value of the state, the backstepping approach is not directly applicable to obtaining an observer gain that stabilizes the error dynamics.

Since the boundary value of the canonical function from the upper half-plane on (2.24).

(e(i)) is the boundary value of the re-probabilistic evaluation.