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Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems

Differential Equations, 2023
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Afanas'eva, E. B.   +2 more
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Discrete Copulas

IEEE Transactions on Fuzzy Systems, 2006
We define discrete copulas on a grid of the unit square and show that with each discrete copula there is associated, in a natural way, a bistochastic matrix. This is used in order to introduce the product of discrete copulas. Discrete copulas of order n are the smallest convex set containing the irreducible discrete copulas of order n introduced by ...
KOLESAROVA A   +3 more
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Discrete Discrete Wavelets

SIAM Journal on Mathematical Analysis, 1992
Summary: A discrete family of wavelets consisting of discrete functionals in a Sobolev space is studied. It is shown that they form a complete orthonormal system in \(H^{-s}\), \(s>{1\over 2}\), generated by a single ``mother functional''. Closed form expressions are derived in certain cases.
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Discrete Sets and Discrete Maps

Canadian Mathematical Bulletin, 1982
AbstractA subset of a topological space is called discrete iff every point in the space has a neighborhood which meets the set in at most one point. Discrete sets are useful for decomposing the images of certain maps and for generalizing closed maps. All discrete sets are closed iff the space is T1.
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Superconsistent Discretizations

Journal of Scientific Computing, 2002
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Attractive and In-discrete

Minds and Machines, 2001
Summary: I argue that dynamicism does not provide a convincing alternative to currently available cognitive theories. First, I show that the attractor dynamics of dynamicist models are inadequate for accounting for high-level cognition. Second, I argue that dynamicist arguments for the rejection of computation and representation are unsound in light of
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