Sentence examples for basic results for from inspiring English sources

Both of these results correspond closely to basic results for stochastic analysis on Wiener space, thus furthering the analogy between the Clifford process and Brownian motion.

This article formulates the concept of a linear error-block code and derives basic results for this kind of code by direct analogy to the classical case.

Basic results for the weight benefits relative to solid plates are presented, with emphasis on restricted optimizations that assure robustness (non-catastrophic failure) and acceptable thinness.

In Congressional hearings, Senator Abraham A. Ribicoff, a Democrat from Connecticut, called it "really a shadow organization, with no bite, no clout, no ability to really achieve any basic results for consumers".

Table 1 presents basic results for Experiment A-C.

In Section 2, we recall some required concepts and basic results for the later use.

The most basic result for elliptic operators of this type is the inheritance of invertibility from the limiting operators.

So this basic result for linear systems is essentially a consequence of the statement that for a linear system, zero in gives us zero out.

In contrast the basic result for strong stimuli is that cortical responses to such stimuli are much more localized.

The basic result for the proof of our main result Theorem 2.4 is the following variant of inequality (1.2): Theorem 2.1.

The basic result for weak stimuli is that the cortical response is a propagating wave whose amplitude decays exponentially with distance.