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Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems
Differential Equations, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Afanas'eva, E. B. +2 more
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Oberwolfach Reports, 2006
Discrete Geometry deals with the structure and complexity of discrete geometric objects ranging from finite point sets in the plane to more complex structures like arrangements of n -dimensional convex bodies.
Martin Henk, Jiří Matoušek, Emo Welzl
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Discrete Geometry deals with the structure and complexity of discrete geometric objects ranging from finite point sets in the plane to more complex structures like arrangements of n -dimensional convex bodies.
Martin Henk, Jiří Matoušek, Emo Welzl
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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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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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2020
In this chapter some basic concepts of the finite element method are illustrated by solving basic discrete systems built from springs and bars. Generation of element stiffness matrix and assembly for the global system is performed. First basic steps on finite element programs are described.
Ferreira A. J. M., Fantuzzi N.
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In this chapter some basic concepts of the finite element method are illustrated by solving basic discrete systems built from springs and bars. Generation of element stiffness matrix and assembly for the global system is performed. First basic steps on finite element programs are described.
Ferreira A. J. M., Fantuzzi N.
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Discrete Sets and Discrete Maps
Canadian Mathematical Bulletin, 1982AbstractA 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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Discrete Time, Discrete Frequency
2021This chapter is dedicated to exploring a form of the Fourier transform that can be applied to digital waveforms, the discrete Fourier transform (DFT). The theory is introduced and discussed as a modification to the continuous-time transform, alongside the concept of windowing in the time domain.
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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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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 and Discretized Structures
2020This chapter begins by identifying four possible states or situations: continuous systems (state 1) modeled in discrete form (state 2), and naturally discrete systems (state 3) modeled in continuous form (state 4). We refer to state 2 as a discretized state whereas state 4 is referred to as a homogenized state.
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