Sentence examples for using the probability theory from inspiring English sources

The effects of stochastic uncertainties on the overall properties of the composite material are represented using the probability theory.

In the subsequent studies, Dasgupta and Gupta provided the proof of JL lemma using the probability theory [34] and pointed out that the entries v ij in the matrix V were able to be built by the independent Gaussian random variable, meaning as v ij ∼ N ( 0, 1 ).

So, the methods based on the statistic framework are complicated and difficult due to establishing the accurate motion models or obtaining the exact pdf by using the probability and statistics theory.

First, using the probability density function and semigroup theory the authors established the mild solutions of the associated linear fractional evolution equations.

In our approach, we are using the Bayesian probability theory which is modified according to two major assumptions: 1.

In the present paper, the thermal uniformity of packaging the LED array embedded on Al-PCB technology is explored using the Bayesian probability theory.

In this article, we propose a modification of AODV, the AODV_EXT_BP, protocol which improves the energy and data transmission efficiency of the network by using the Bayesian probability theory and give better results compared to AODV_EXT.

In the absence of ambient vibrations, they can be simulated stochastically using structural properties and the probability theory.

The occurrence of solar energetic particle (SEP) events over a long-term time scale is described by the probability theory using some regularities inherent in sets of SEP events.

Using well-known results from the probability theory, we derive general analytical expressions for sizing intermediate storage to maintain the continuity of operation with a given degree of confidence.

de Leoni et al.[27] have used the Bayesian probability theory in order to predict the disconnections that may occurred in MANETs.