Results 1 to 10 of about 384,953 (220)
Motivated by the problem of the dynamics of point-particles in high post-Newtonian (e.g. 3PN) approximations of general relativity, we consider a certain class of functions which are smooth except at some isolated points around which they admit a power ...
Bel L.+15 more
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On uniform regularity and strong regularity [PDF]
We investigate uniform versions of (metric) regularity and strong (metric) regularity on compact subsets of Banach spaces, in particular, along continuous paths. These two properties turn out to play a key role in analyzing path-following schemes for tracking a solution trajectory of a parametric generalized equation or, more generally, of a ...
R. Cibulka, J. Preininger, T. Roubal
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Regular Ultrapowers at Regular Cardinals [PDF]
In earlier work of the second and third author the equivalence of a finite square principle square^fin_{lambda,D} with various model theoretic properties of structures of size lambda and regular ultrafilters was established. In this paper we investigate the principle square^fin_{lambda,D}, and thereby the above model theoretic properties, at a regular ...
Kennedy, J., Shelah, S., Väänänen, J.
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On regular but not completely regular spaces [PDF]
We present how to obtain non-comparable regular but not completely regular spaces. We analyze a generalization of Mysior's example, extracting its underlying purely set-theoretic framework. This enables us to build simple counterexamples, using the Niemytzki plane, the Songefrey plane or Lusin gaps.
Piotr Kalemba, Szymon Plewik
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Star-regularity and regular completions [PDF]
In this paper we establish a new characterisation of star-regular categories, using a property of internal reflexive graphs, which is suggested by a recent result due to O. Ngaha Ngaha and the first author. We show that this property is, in a suitable sense, invariant under regular completion of a category in the sense of A. Carboni and E. M.
Marino Gran+2 more
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Regular colorings in regular graphs
An (r − 1, 1)-coloring of an r-regular graph G is an edge coloring (with arbitrarily many colors) such that each vertex is incident to r − 1 edges of one color and 1 edge of a different color. In this paper, we completely characterize all 4-regular pseudographs (graphs that may contain parallel edges and loops) which do not have a (3, 1)-coloring. Also,
Bernshteyn, Anton+6 more
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Fractional regularization matrices for linear discrete ill-posed problems [PDF]
The numerical solution of linear discrete ill-posed problems typically requires regularization. Two of the most popular regularization methods are due to Tikhonov and Lavrentiev. These methods require the choice of a regularization matrix. Common choices
Lothar Reichel+2 more
core +1 more source
Non-perturbative regularization and renormalization: simple examples from non-relativistic quantum mechanics [PDF]
We examine several zero-range potentials in non-relativistic quantum mechanics. The study of such potentials requires regularization and renormalization.
't Hooft+22 more
core +2 more sources
We study the Full Bayesian Updating rule for convex capacities. Following a route suggested by Jaffray (IEEE Transactions on Systems, Man and Cybernetics 22(5):1144–1152, 1992), we define some properties one may want to impose on the updating process, and identify the classes of (convex and strictly positive) capacities that satisfy these properties ...
Chateauneuf, Alain+2 more
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Regularization matrices determined by matrix nearness problems [PDF]
This paper is concerned with the solution of large-scale linear discrete ill-posed problems with error-contaminated data. Tikhonov regularization is a popular approach to determine meaningful approximate solutions of such problems.
Brezinski+23 more
core +2 more sources