Results 11 to 20 of about 3,199,416 (302)
Singular dimension of spaces of real functions [PDF]
Le Matematiche, 2007 Let X be a space of measurable real functions defined on a fixed open set Ω ⊆ R^N . It is natural to define the singular dimension of X as the supremum of Hausdorff dimension of singular sets of all functions in X.We say that f ∈ X is a maximally ...
Darko Žubrinić
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Universal Singular Inner Functions
Canadian Mathematical Bulletin, 2004 AbstractWe show that there exists a singular inner function S which is universal for noneuclidean translates; that is one for which the set is locally uniformly dense in the set of all zero-free holomorphic functions in bounded by one.
Gorkin, Pamela, Mortini, Raymond
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Resolution of Singularities by Rational Functions
SIAM Journal on Numerical Analysis, 2023 Abstract. Results on the rational approximation of functions containing singularities are presented. We build further on the “lightning method,” recently proposed by Trefethen and Gopal [ SIAM J. Numer. Anal., 57 (2019), pp. 2074–2094], based on exponentially clustering poles close to the singularities.
Herremans, Astrid +2 more
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Functional singular spectrum analysis [PDF]
Stat, 2021 In this paper, we develop a new extension of the singular spectrum analysis (SSA) called functional SSA to analyze functional time series. The new methodology is constructed by integrating ideas from functional data analysis and univariate SSA. Specifically, we introduce a trajectory operator in the functional world, which is equivalent to the ...
Hossein Haghbin +4 more
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Singular and plural functions for functional logic programming [PDF]
Theory and Practice of Logic Programming, 2012 AbstractModern functional logic programming (FLP) languages use non-terminating and non-confluent constructor systems (CSs) as programs in order to define non-strict and non-deterministic functions. Two semantic alternatives have been usually considered for parameter passing with this kind of functions: call-time choice and run-time choice.
Adrián Riesco 0001 +1 more
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Limits and singularities of normal functions [PDF]
European Journal of Mathematics, 2021 We construct a collection of higher Chow cycles on certain surfaces which degenerate to an arrangement of planes in general position. When its degree is 4, this construction gives a new explicit proof of the Hodge-D-Conjecture for a certain type of K3 surfaces. As an application, we also construct a certain type of threefolds with non trivial Griffiths
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Proceedings of the American Mathematical Society, 1956 in which the functions r, p and q are continuous on (0, oo) while r is positive there. The point x=O is singular for the functional in the sense that the conditions on r, p, and q may not hold for an interval of the form [0, b]. Finally, all integrals which appear are Lebesgue integrals.
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Singular Higher-Order Complete Vector Bases for Finite Methods [PDF]
, 2004 This paper presents new singular curl- and divergence- conforming vector bases that incorporate the edge conditions. Singular bases complete to arbitrarily high order are described in a unified and consistent manner for curved triangular and ...
Graglia, Roberto, Lombardi, Guido
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Finite Element Quadrature of Regularized Discontinuous and Singular Level Set Functions in 3D Problems [PDF]
, 2012 Regularized Heaviside and Dirac delta function are used in several fields of computational physics and mechanics. Hence the issue of the quadrature of integrals of discontinuous and singular functions arises.
PONARA, Nicola +9 more
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Singularity Analysis of Generating Functions [PDF]
SIAM Journal on Discrete Mathematics, 1990 This work presents a class of methods by which one can translate, on a term-by-term basis, an asymptotic expansion of a function around a dominant singularity into a corresponding asymptotic expansion for the Taylor coefficients of the function. This approach is based on contour integration using Cauchy’s formula and Hankel-like contours.
Philippe Flajolet, Andrew M. Odlyzko
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