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Then the extension from finite to infinite dimensional state space is obtained by a continuum limit.
This pressure seems to be still decaying towards an asymptotic value predicted by a continuum limit analysis.
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The above stochastic model of a spatially structured lattice of neural populations can be reduced to a stochastic neural field by taking a continuum limit.
The microstructural lattice approach, which includes consideration of a continuum limit, allows us to select a type of fractional derivatives that will adequately and correctly describe fractional nonlocal continua.
In the stem segment, the result is a continuum limit.
A recent study by Murray et al.[ 27] has shown that discrete models can be coarsed-grained in a continuum limit to generate a continuum model for more generalized description of the intestinal crypt.
Quantum walks have been shown to map into Dirac-like equations in curved space as well by evaluating the continuum limit of certain QW's [12, 36].
This was studied extensively in [10 12] by analysing the continuum limit of these QW, yielding different versions of the Dirac equation.
In practise this task is carried out by first taking the continuum limit for various orders and then obtaining suitable differential equations.
In the continuum limit, a generating functional for a function (x t)) on the real domain (tin[0,T]) is obtained by taking a limit of the generating functional for the vector (x_{j}).
In this reaction-diffusion framework, an excitable medium is the continuum limit of a locally coupled chain of excitable elements.
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