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The search culminated into a new class of diffusion process that was developed specifically for low-quality challenging fingerprints.
Our model is observed to be numerically very stable and unconditional stability is shown for a class of diffusion matrices.
A characterization of optimal stopping boundaries (ymapsto g_ y)) in terms of the maximal solution of a nonlinear first-order differential equation for a general class of diffusion processes is given in Peskir [3].
The theoretical framework developed in the preceding sections is now used, in combination with empirically-grounded models for social diffusion e.g., [17, 49 51], to demonstrate that predictability of this class of diffusion models depends crucially upon network community structure.
As Ratcliff and McKoon [16] have recently observed: "It has probably not been realized in the wider scientific community that the class of diffusion models has as near to provided a solution to simple decision making as is possible in behavioral science".
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In addition, the vector initial value problem itself is representative of a new class of diffusion-chemical reaction problems that is thereby made formally solvable.
The Pearson diffusions is a class of diffusions defined by linear drift and quadratic squared diffusion coefficient.
In the mathematical finance literature, choosing an optimal stopping time point is often related to a free boundary problem for a class of diffusions (see Fleming and Soner [5] and Peskir and Shiryaev [14]).
Using the published data collected under the field and laboratory conditions for infiltration and absorption, we have found that the values of β1 and β2 change (0 < β2 < 2 and β1 < 1) with different classes of diffusion mechanisms operating in the different soils.
We apply the result to obtain homogenization theorems for certain classes of diffusions with a random Gaussian drift.
The equations belong to the class of reaction diffusion equations and are strongly non-linear.
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CEO of Professional Science Editing for Scientists @ prosciediting.com