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Extensions of discrete triangular distributions and boundary bias in kernel estimation for discrete functions
(ELSEVIER SCIENCE BV, 2010)
Asymmetric discrete triangular distributions are introduced in order to extend the symmetric ones serving for discrete associated kernels in the nonparametric estimation for discrete functions. The extension from one to ...
On the discrete Wigner function for SU(N)
(Iop Publishing Ltd, 2019-10-04)
We present a self-consistent theoretical framework for finite-dimensional discrete phase spaces that leads us to establish a well-grounded mapping scheme between Schwinger unitary operators and generators of the special ...
A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions
(Springer, 2017-07)
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex ...
Dually discrete spaces
(ELSEVIER SCIENCE BV, 2008)
A neighbourhood assignment in a space X is a family O = {O-x: x is an element of X} of open subsets of X such that X is an element of O-x for any x is an element of X. A set Y subset of X is a kernel of O if O(Y) = U{O-x: ...
Penalty-based nonlinear solver for optimal reactive power dispatch with discrete controls
(2013-04-15)
The optimal reactive dispatch problem is a nonlinear programming problem containing continuous and discrete control variables. Owing to the difficulty caused by discrete variables, this problem is usually solved assuming ...
Examples from trees, related to discrete subsets, pseudo-radiality and omega-boundedness
(ELSEVIER SCIENCE BV, 2009)
We construct some examples using trees. Some of them are consistent counterexamples for the discrete reflection of certain topological properties. All the properties dealt with here were already known to be non-discretely ...
On computational aspects of discrete Sobolev inner products on the unit circle
(2013-09-17)
In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete ...
Stieltjes functions and discrete classical orthogonal polynomials
(Springer, 2013-10-01)
Classical orthogonal polynomials can be characterized in terms of the corresponding Stieltjes function. We consider the construction of a Stieltjes function in terms of the falling factorials for discrete classical orthogonal ...
Fusing time, frequency and shape-related information: Introduction to the Discrete Shapelet Transform's second generation (DST-II)
(2018-05-01)
This article introduces the second generation of the Discrete Shapelet Transform (DST-II), a tool created for fusing three types of information: time, frequency and shape-related. Considered a particular Discrete Wavelet ...
Riemannian Submersions with Discrete Spectrum
(SPRINGERNEW YORK, 2012)
We prove some estimates on the spectrum of the Laplacian of the total space of a Riemannian submersion in terms of the spectrum of the Laplacian of the base and the geometry of the fibers. When the fibers of the submersions ...