Sentence examples for which we establish from inspiring English sources

Furthermore, we will find specialfinite-dimensional subspace, by which we establish sufficiently small minimaxlevels.

Thus, we will find special finite-dimensional subspaces by which we establish sufficiently small minimax levels.

Finally, we have an application in which we establish an existing result of an integral equation.

Motivated by practical concerns, we next consider the constant step size case, for which we establish weak convergence.

In the following, we will find special finite-dimensional subspaces by which we establish sufficiently small mini-max levels.

The central role in this paper is played by our Fourier integral form, for which we establish positivity and sharp bound properties of the kernels.

That would damage the very basis on which we established diplomatic relations".

The London summit must now enable us to go further, and to put into practice the principles which we established in Washington.

Since then, the St. Augustine's Project, a nonprofit organization composed mainly of church members, which we established to restore and preserve the galleries, spent six years trying to raise money for the actual restoration of the West Gallery.

The technique with which we established and confirmed tightness during closure was very delicate.

Using the techniques established in [23 25] one can determine the rate of convergence for all regions of parameters for which we established convergence.