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The method is based on the basic Markov assumption: system state durations follow corresponding exponential distributions.
As also mentioned in "Basic assumptions", when formulating our model, the investments amount depends on a parameter which is possible to be non-constant and to be fully controlled, i.e. to be equal to G = G ¯ k. (31)Hence under this assumption system (12) takes the form T k + 2 = M 1 T k + 1 + M 0 T k + G ¯ k (32 where M 0, M 1, the matrices as defined for the system (12).
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Within these assumptions, system of Equation (1) results to be symmetric.
The meanings of interest to them are variously described, for example, as intentions and beliefs, conscious or tacit knowledge, subconscious or unconscious assumptions, systems of signs and languages, and discourses and ideologies.
With this assumption, the system configuration is estimated that the system is able to supply peak load, which even occurs for a short interval.
Under Assumption 2, system (4) is stochastically permanent.
The experiments are based on following assumption and system parameters.
Under Assumption A1, system (1.3) is stochastically ultimately bounded.
Assumption 3 System (14) possesses a non-degenerate Hopf bifurcation at ν = ν ^ ε.
By assumption the system starts off in a low entropy state, the initial state MI (the gas being squeezed into the left half of the box).
We mention here that under the assumption (H1), system (1.2) admits a unique positive equilibrium ((x^,y^)).
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CEO of Professional Science Editing for Scientists @ prosciediting.com