Sentence examples for properties of the random from inspiring English sources

Below, we collect the most important properties of the random topological degree.

These techniques involve the study of stochastic order properties of the random variables in the process.

In this section, we analyse the security properties of the random user selection approach from [7].

This, and some basic properties of the random user selection approach, are proven in Section 2.3.

The absorption spectral, thermal, electrochemical and photovoltaic properties of the random copolymers were investigated.

It is thus important to correctly establish the properties of the random variables to obtain accurate predictions from the framework.

Structural properties of the random-node-graphs are closer to those of the real book graphs, meaning that the measured levels of clustering and connectivity of the book graphs can partly be ascribed to the degree distribution of their nodes.

By combining this relation with the martingale property of the random sequence {I n }, we have begin{array}{*{20}l} P(I_{infty}=0) &= 1- frac{I_{s}}{N} end{array} (17).

For simplicity, we assume that only the codeword sent by the adjacent sensor, will be used as side information for decoding codeword (alternatively, we could use all the sensor observations but due to the spatial Markov property of the random field model, this is not expected to substantially decrease the encoding rate).

The second proposed method is dedicated to the case where the pilots are modulated by a pseudo random sequence, authors in [24] proposed to exploit the properties of the pseudo random generator.

First of all, we construct the local random invariant manifold of it for sufficiently small (R>0) and prove its exponentially attracting properties of the corresponding random dynamical system by using the method in [23].