Sentence examples for by using the stochastic from inspiring English sources

Uncertainties due to natural randomness or aleatory uncertainties may be taken into account by using the stochastic or fuzzy methodologies, which enable us to quantify uncertainties.

Firstly we have constructed the control function by using the stochastic analysis technique, it is very important for us to study the approximate controllability.

Section 4 solves the problem by using the stochastic θ-method.

By using the stochastic stability theory, Itô's differential formula and Young inequality, the criteria are derived.

Specifically, the outage analysis for cognitive HetNets is performed by using the stochastic geometry technique in [63].

The control system is converted into an averaged control system for energy processes by using the stochastic averaging method.

In this paper, we want to prove this type of stochastic Fubini theorem by using the backward stochastic differential equation (BSDE, for short) method.

The first stage is to derive the energy prices, imbalance prices and FR prices in a rolling basis by using the advanced stochastic unit commitment (ASUC) model in [16].

The energy prices, imbalance prices and FR prices are calculated based on the above assumption by using the advanced stochastic unit commitment model, while the payment from capacity market is assumed to be 80 £/kW per year.

Phylogeographic diffusion along the posterior sets of trees and relationships between these locations were identified by using the Bayesian stochastic search variable selection procedure in BEAST v1.8.0 (27 ).

Exact analytical results for these quantities have been derived only for very simple gene regulatory systems [ 10- 12] and hence they are more commonly obtained by means of Monte Carlo simulations using the stochastic simulation algorithm (SSA) [ 13, 14].