Sentence examples for numerical existence from inspiring English sources

Friedman and Scedrov have shown, for example, that the addition of large set axioms does not compromise the validity of the disjunction and numerical existence properties for IZF.

In [11, 13], existence results in no-slip surface,, are obtained, while in [3, 7], Navier's slip conditions, and, are investigated, and numerical, existence, uniqueness, and regularity results are given.

The main challenges are the non-hyperbolicity of the shear band formation and growth (front tracking avoids the catastrophic effects of the loss of hyperbolicity in the Godunov-type numerical scheme), the existence of endpoints for the shear band (the tracked front does not separate the computational domain into disconnected regions), and the non-hyperbolic rate of growth of the shear band.

For approximating of singular or weakly singular integral equations, there are several numerical method's existences.

In this section, we first present the linearly extrapolated BDF2 scheme, then study the existence of numerical solutions, and finally establish stability of the numerical scheme.

To answer the question of the existence of numerical solution, we will give the following lemma.

The numerical results illustrate the existence of the periodic and chaotic motions in the averaged equation.

The numerical simulation showed the existence of an optimum liquid temperature (∼30 °C) for the production of H2.

The numerical results validated the existence of the boundary between under-smooth and over-smooth regions of anisotropic diffusion.

Numerical simulations reveal the existence of a hydraulic interface resistance between brick and wet/dry cured mortar.

Numerical results show the existence of multiple steady state solutions for fluid drag, large end mass, or high rotation speed.