Sentence examples for proves existence from inspiring English sources

Archives|ARCTIC LAND IN MIRAGE.; British Explorers Think It Proves Existence of Long-Sought Area. Long-Sought Area

ARCTIC LAND IN MIRAGE.; British Explorers Think It Proves Existence of Long-Sought Area. Long-Sought Area

We prove that the geodesic spray is continuously differentiable fromTDsμ(M) intoTTDsμ(M) so that a standard Picard iteration argument proves existence and uniqueness on a finite time interval.

We conclude that: "if C = Cmax and q = Cmax then I* s) = 1" which proves existence of Cth.

In particular, our analysis proves existence, global stability, and robustness with respect to perturbations of the forcing, of families of waves with arbitrary period/wave number in some range, for every value of the parameters in the system.

Below f and g will denote continuous positive non-increasing on ([0,infty)) functions. The next theorem proves existence and some properties of the perfect g-spline (G_{r,n,f,a}inGamma_{n,g}^{r}[0,a]) that least deviates from zero in (|cdot|_{C[0,a],f}) norm.

The results proved existence of characteristic neural responses to continuously presented Shepard's tones.

The purpose of this paper is to prove existence of optimal design for the new model.

In this paper we prove existence and characterization of the global attractor associated to the model.

We prove existence and scattering results for semilinear wave equations with low regularity data.

First, we prove existence, uniqueness and continuous dependence with respect to the initial condition of solutions.