Results 11  20
of
893,046
ON DISCRETE SPACES AND APSPACES
, 2011
"... In this paper, it is proved that a space Y is discrete if and only if every sequentially quotient mapping onto Y is biquotient (weakopen). Also, we discuss APspaces which are important generalizations of FréchetUrysohn spaces. We give a new characterization of APspaces and prove that every sp ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
In this paper, it is proved that a space Y is discrete if and only if every sequentially quotient mapping onto Y is biquotient (weakopen). Also, we discuss APspaces which are important generalizations of FréchetUrysohn spaces. We give a new characterization of APspaces and prove that every
Isoperimetric Problems in Discrete Spaces
 Bolyai Soc. Math. Stud
, 1994
"... This paper is a survey on discrete isoperimetric type problems. We present here as some known facts about their solutions as well some new results and demonstrate a general techniques used in this area. The main attention is paid to the unit cube and cube like structures. Besides some applications o ..."
Abstract

Cited by 29 (5 self)
 Add to MetaCart
This paper is a survey on discrete isoperimetric type problems. We present here as some known facts about their solutions as well some new results and demonstrate a general techniques used in this area. The main attention is paid to the unit cube and cube like structures. Besides some applications
Algorithms for Quantum Computation: Discrete Logarithms and Factoring
, 1994
"... A computer is generally considered to be a universal computational device; i.e., it is believed able to simulate any physical computational device with a increase in computation time of at most a polynomial factor. It is not clear whether this is still true when quantum mechanics is taken into consi ..."
Abstract

Cited by 1103 (7 self)
 Add to MetaCart
into consideration. Several researchers, starting with David Deutsch, have developed models for quantum mechanical computers and have investigated their computational properties. This paper gives Las Vegas algorithms for finding discrete logarithms and factoring integers on a quantum computer that take a number
Actions as spacetime shapes
 In ICCV
, 2005
"... Human action in video sequences can be seen as silhouettes of a moving torso and protruding limbs undergoing articulated motion. We regard human actions as threedimensional shapes induced by the silhouettes in the spacetime volume. We adopt a recent approach [14] for analyzing 2D shapes and genera ..."
Abstract

Cited by 642 (4 self)
 Add to MetaCart
Human action in video sequences can be seen as silhouettes of a moving torso and protruding limbs undergoing articulated motion. We regard human actions as threedimensional shapes induced by the silhouettes in the spacetime volume. We adopt a recent approach [14] for analyzing 2D shapes
Spacetime Interest Points
 IN ICCV
, 2003
"... Local image features or interest points provide compact and abstract representations of patterns in an image. In this paper, we propose to extend the notion of spatial interest points into the spatiotemporal domain and show how the resulting features often reflect interesting events that can be use ..."
Abstract

Cited by 791 (22 self)
 Add to MetaCart
Local image features or interest points provide compact and abstract representations of patterns in an image. In this paper, we propose to extend the notion of spatial interest points into the spatiotemporal domain and show how the resulting features often reflect interesting events that can be used for a compact representation of video data as well as for its interpretation.. To detect
On Topology in Multidimensional Discrete Spaces
, 1993
"... : To study topology in digital binary images, different discrete connectivities have to be used for both the object and the background. We prove equivalences between discrete connectivities, as they are usually defined in a digital space, and connectivity in a continuous space. For that purpose, we ..."
Abstract

Cited by 5 (0 self)
 Add to MetaCart
: To study topology in digital binary images, different discrete connectivities have to be used for both the object and the background. We prove equivalences between discrete connectivities, as they are usually defined in a digital space, and connectivity in a continuous space. For that purpose
The irreducibility of the space of curves of given genus
 Publ. Math. IHES
, 1969
"... Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k ~ ..."
Abstract

Cited by 512 (2 self)
 Add to MetaCart
Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k
The GZK Bound in Discrete Space
, 2006
"... The maximum distance bound for ultrahigh energy cosmic rays (UHECR) with energies above the GreisenZatsepinKuzmich cutoff ∼ 10 19 eV relaxes significantly if there is some mechanism that forces UHECR to propagate in discrete intervals, rather than continuously, through intergalactic space. In part ..."
Abstract
 Add to MetaCart
The maximum distance bound for ultrahigh energy cosmic rays (UHECR) with energies above the GreisenZatsepinKuzmich cutoff ∼ 10 19 eV relaxes significantly if there is some mechanism that forces UHECR to propagate in discrete intervals, rather than continuously, through intergalactic space
Gibbs and Quantum Discrete Spaces
, 2001
"... Gibbs field is one of the central objects of the modern probability, mathematical statistical physics and euclidean quantum field theory. Here we define and study its natural generalization for the case when the space, where the random field is defined is itself random. Moreover, this randomness is ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
Gibbs field is one of the central objects of the modern probability, mathematical statistical physics and euclidean quantum field theory. Here we define and study its natural generalization for the case when the space, where the random field is defined is itself random. Moreover, this randomness
Results 11  20
of
893,046