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For example, a stochastic representation of a motion pattern can be derived by computing the mean and standard deviation of the sample trajectories [[30]].
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Furthermore, once a design has been formalized in the DSD language it becomes possible to perform formal verification of certain aspects of its behaviour, for example using a stochastic model checker or a theorem prover.
The stock-price equation is an example of a stochastic differential equation.
A second example compares a stochastic optimization algorithm, Tabu Search, to a standard deterministic solver for the solution of a larger-scale refrigeration design problem.
The resulting stochastic process defined by (2.1)–(2.5) is an example of a stochastic hybrid system based on a piecewise-deterministic process.
We also highlight how the inclusion of synaptic depression into the master equation formulation leads to a novel example of a stochastic hybrid system [44].
Bayesian network inferring, for example, is a stochastic approach.
A classic example of a stochastic genetic switch that creates phenotypic variation is antigenic variation in Salmonella.
We test the ME-PCM on two-dimensional Navier-Stokes examples and a stochastic diffusion problem with various random input distributions and up to 50 dimensions.
Figure 5 Some examples of (a) stochastic texture images and (b) periodic or partly periodic texture images.
However, we also mention the case of a stochastic simulation, and examples of both cases are discussed.
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