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Figure 2a shows an energy diagram for different tunnelling processes at the QCR with a finite operation voltage.
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That is to say, these factor types have a finite trace operation and are not plagued with the domain problems of unbounded operators.
Such class of systems is a special class of stochastic hybrid systems with finite operation modes, which may switch from one to another at different time.
Based on the stochastic differential equation model of operation, integral equations for determining the overflow and underflow probabilities of a finite storage are formulated for both infinite and finite operation horizons that provide the basis for the rational design of such intermediate storages.
In finite operation modes, Markovian jump systems is a special class of stochastic systems that can switch from one to another at different time.
The problem to consider consists in finding a control function, defined over a finite interval of operation time, such that the final concentration of a desired product is maximum.
When evaluating a function f(x) with x a real or complex number, it must be kept in mind that a computer or calculator can only do a finite number of operations.
The incompressible Navier Stokes equations are discretized on an unbounded staggered Cartesian grid and are solved in a finite number of operations using lattice Green's function techniques.
In mathematics, a closed expression is a mathematical expression that can be evaluated in a finite number of operations.
Classical direct methods, such as Gaussian elimination, can be used to solve this problem within a finite number of operations; however, such methods destroy the sparsity of the matrix and necessitate the allocation of a huge amount of additional memory.
Using this representation it is possible to start from a logic tree and obtain any other logic tree by a finite number of operations such as growing of branches, pruning of branches, changing of predictors and/or operators.
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