Sentence examples for assuming to be from inspiring English sources

The following theorem extends Rhoades' theorem by assuming to be only l.s.c.. Theorem 4.3.

The following theorem extends Nadler and Daffer-Kaneko's Theorems to a coincidence theorem, without assuming to be l.s.c.

In Section 4, we extend Theorem 1.3 by assuming to be only l.s.c., and extend Theorem 1.4 to multivalued mappings.

With the initial and, TMGA2 starts by assuming to be admitted and accordingly updating the related parameters to be and.

In this second strategy, we apply the Alamouti scheme on pairs of codes, that is, we divide the codes in two groups (assuming to be even).

σ u represents the noise standard deviation of the gray-level differences in the stationary areas assuming to be constant over space.

Therefore, we establish the existence of a virtual sphere, assuming to be located at a constrained distance intersecting the image plane based on the calibrated f.

Here we give a nonautonomous analog of the result; moreover, instead of assuming to be globally Lipschitz in, we only impose on the following weaker condition.