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On the asymptotic densities of certain subsets of N k

by László Tóth - Concerned with sequences A000010, A001221, A005361, A008683, A018804, A047994, and A145388.) Received April 24 2009; revised version received June 22 2009. Published in Journal of Integer Sequences
"... We determine the asymptotic density δk of the set of ordered k-tuples (n1,..., nk) ∈ N k, k ≥ 2, such that there exists no prime power p a, a ≥ 1, appearing in the canonical factorization of each ni, 1 ≤ i ≤ k, and deduce asymptotic formulae with error terms regarding this problem and analogous ones ..."
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ones. We give numerical approximations of the constants δk and improve the error term of formula (1.2) due to E. Cohen. We point out that our treatment, based on certain inversion functions, is applicable also in case k = 1 in order to establish asymptotic formulae with error terms regarding

Algebrability of Certain Subsets of C 0 (R + )

by Sima Niazi , Ali Farokhinia , 2013
"... Abstract. Existence of an infinitely generated algebra in a certain set, is called algebrability. In this paper we will show that the space of all continuous functions on R + that are not in any L p (R + ), is algebrable. Mathematics Subject Classification: Primary 47A16, Secondary 47L10 ..."
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Abstract. Existence of an infinitely generated algebra in a certain set, is called algebrability. In this paper we will show that the space of all continuous functions on R + that are not in any L p (R + ), is algebrable. Mathematics Subject Classification: Primary 47A16, Secondary 47L10

The Hodge Rings of Abelian Varieties Associated to Certain Subsets of Finite Fields

by Fumio Hazama
"... Abstract. We construct a family of abelian varieties of CM-type such that the Hodge conjecture holds true for infinitely many members of it as well as their self-products. An intimate connection between the distribution of stably nondegenerate abelian varieties in the family and the coefficients of ..."
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of a certain modular form is revealed. 1.

Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks

by Ros Tassiulas, Anthony Ephremides - IEEE Transactions on Automatic Control , 1992
"... Abstruct-The stability of a queueing network with interdependent servers is considered. The dependency of servers is described by the definition of their subsets that can be activated simultaneously. Multihop packet radio networks (PRN’s) provide a motivation for the consideration of this system. We ..."
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Abstruct-The stability of a queueing network with interdependent servers is considered. The dependency of servers is described by the definition of their subsets that can be activated simultaneously. Multihop packet radio networks (PRN’s) provide a motivation for the consideration of this system

A volumetric method for building complex models from range images,”

by Brian Curless , Marc Levoy - in Proceedings of the 23rd annual conference on Computer graphics and interactive techniques. ACM, , 1996
"... Abstract A number of techniques have been developed for reconstructing surfaces by integrating groups of aligned range images. A desirable set of properties for such algorithms includes: incremental updating, representation of directional uncertainty, the ability to fill gaps in the reconstruction, ..."
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, and robustness in the presence of outliers. Prior algorithms possess subsets of these properties. In this paper, we present a volumetric method for integrating range images that possesses all of these properties. Our volumetric representation consists of a cumulative weighted signed distance function. Working

Submodular functions, matroids and certain polyhedra

by Jack Edmonds , 2003
"... The viewpoint of the subject of matroids, and related areas of lattice theory, has always been, in one way or another, abstraction of algebraic dependence or, equivalently, abstraction of the incidence relations in geometric representations of algebra. Often one of the main derived facts is that all ..."
Abstract - Cited by 355 (0 self) - Add to MetaCart
of linear programming. It turns out to be useful to regard “pure matroid theory”, which is only incidentally related to the aspects of algebra which it abstracts, as the study of certain classes of convex polyhedra. (1) A matroid M = (E,F) can be defined as a finite set E and a nonempty family F of so

Université Catholique de Louvain The Jordan’s Property for Certain Subsets of the Plane Yatsuka Nakamura

by unknown authors
"... Summary. Let S be a subset of the topological Euclidean plane E 2 T. We say that S has Jordan’s property if there exist two non-empty, disjoint and connected subsets G1 and G2 of E 2 T such that S c = G1 ∪ G2 and G1 \ G1 = G2 \ G2 (see [19], [10]). The aim is to prove that the boundaries of some spe ..."
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Summary. Let S be a subset of the topological Euclidean plane E 2 T. We say that S has Jordan’s property if there exist two non-empty, disjoint and connected subsets G1 and G2 of E 2 T such that S c = G1 ∪ G2 and G1 \ G1 = G2 \ G2 (see [19], [10]). The aim is to prove that the boundaries of some

Université Catholique de Louvain The Jordan’s Property for Certain Subsets of the Plane Yatsuka Nakamura

by unknown authors
"... Summary. Let S be a subset of the topological Euclidean plane E 2 T. We say that S has Jordan’s property if there exist two non-empty, disjoint and connected subsets G1 and G2 of E 2 T such that S c = G1 ∪ G2 and G1 \ G1 = G2 \ G2 (see [19], [10]). The aim is to prove that the boundaries of some spe ..."
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Summary. Let S be a subset of the topological Euclidean plane E 2 T. We say that S has Jordan’s property if there exist two non-empty, disjoint and connected subsets G1 and G2 of E 2 T such that S c = G1 ∪ G2 and G1 \ G1 = G2 \ G2 (see [19], [10]). The aim is to prove that the boundaries of some

SIMPLICIAL COMPLEXES ASSOCIATED TO CERTAIN SUBSETS OF NATURAL NUMBERS AND ITS APPLICATIONS TO MULTIPLICATIVE FUNCTIONS

by unknown authors
"... We call a set of positive integers closed under taking unitary divisors an unitary ideal. It can be regarded as a simplicial complex. Moreover, a multiplicative arithmetical function on such a set corresponds to a function on the simplicial complex with the property that the value on a face is the ..."
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We call a set of positive integers closed under taking unitary divisors an unitary ideal. It can be regarded as a simplicial complex. Moreover, a multiplicative arithmetical function on such a set corresponds to a function on the simplicial complex with the property that the value on a face is the

Tracking multiple independent targets: Evidence for a parallel tracking mechanism

by Zenon W. Pylyshyn, Ron W. Storm - Spatial Vision , 1988
"... Abstract-There is considerable evidence that visual attention is concentrated at a single locus in the visual field, and that this locus can be moved independent of eye movements. Two studies are reported which suggest that, while certain aspects of attention require that locations\be scanned serial ..."
Abstract - Cited by 393 (23 self) - Add to MetaCart
Abstract-There is considerable evidence that visual attention is concentrated at a single locus in the visual field, and that this locus can be moved independent of eye movements. Two studies are reported which suggest that, while certain aspects of attention require that locations\be scanned
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