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The Gibbs method handles the location of adult individuals in terms of pairwise interactions described by a potential function.
For the liquid contained in the shell, boundary conditions are prescribed and the behaviour of the liquid is expressed by a potential function.
where function f is defined by a potential function and is a function of the state m, α ∈[0, 1] is an activity of the selected attractor, and η is a noise term.
This paper emphasizes the role of mathematical techniques that the Catastrophe Theory has recently provided as powerful tools for both the control and the design of compliant systems whose behavior is governed by a potential function.
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By introducing a potential function, we show that BMGA converges almost surely to the average of initial node measurements with probability one.
By using a potential function to measure the density in each class of training sample space, the corresponding RBF hidden neurons that cover different sample areas can be established.
The solution is obtained by introducing a potential function based on the conservation of the aqueous phase volume which splits the original system into a thermodynamics auxiliary system and a transport equation.
Recently, Schröder, Levitt and Brunger reported that the quality of low-resolution structural models was improved by refining against a potential function that incorporated an energy term based on deformable elastic networks [8].
Proof: We first claim that the function given by (51). is a potential function of game.
The filter non-linearity is represented by a gradient of a potential function where an exact closed form solution of the stationary probability density exists.
These sites have a high degree of sequence conservation and are also marked by H3K4me1, consistent with a potential function as distal cis-regulatory elements.
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