Results 1  10
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390
SUFFICIENTLY RICH FAMILIES OF PLANAR RINGS
, 1996
"... Abstract. It has been conjectured that if G is a negatively curved discrete group with space at infinity ∂G the 2sphere, then G has a properly discontinuous, cocompact, isometric action on hyperbolic 3space. Cannon and Swenson reduced the conjecture to determining that a certain sequence of coveri ..."
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Cited by 7 (4 self)
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Abstract. It has been conjectured that if G is a negatively curved discrete group with space at infinity ∂G the 2sphere, then G has a properly discontinuous, cocompact, isometric action on hyperbolic 3space. Cannon and Swenson reduced the conjecture to determining that a certain sequence of coverings of ∂G is conformal in the sense of Cannon’s combinatorial Riemann mapping theorem. In this paper it is proved that, in this setting, the two axioms of conformality can be replaced by a single axiom which is implied by each of them. §0. Introduction. This paper involves the burgeoning field of discrete approximations to complex analysis and conformal mapping. The purpose is to improve the combinatorial Riemann mapping theorem of [3] by simplifying its hypotheses and thereby greatly enhancing its applicability. We recall here the purpose of the combinatorial Riemann mapping theorem by comparing
SUFFICIENTLY RICH FAMILIES OF PLANAR RINGS
"... Abstract. It has been conjectured that if G is a negatively curved discrete group with space at infinity ∂G the 2sphere, then G has a properly discontinuous, cocompact, isometric action on hyperbolic 3space. Cannon and Swenson reduced the conjecture to determiningthat a certain sequence of coverin ..."
Abstract
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Abstract. It has been conjectured that if G is a negatively curved discrete group with space at infinity ∂G the 2sphere, then G has a properly discontinuous, cocompact, isometric action on hyperbolic 3space. Cannon and Swenson reduced the conjecture to determiningthat a certain sequence of coverings of ∂G is conformal in the sense of Cannon’s combinatorial Riemann mapping theorem. In this paper it is proved that, in this setting, the two axioms of conformality can be replaced by a single axiom which is implied by each of them. This paper involves the burgeoning field of discrete approximations to complex analysis and conformal mapping. The purpose is to improve the combinatorial Riemann mappingtheorem of [3] by simplifyingits hypotheses and thereby greatly enhancingits applicability.
The Cohomology Ring of Polygon Spaces
 Ann. Inst. Fourier
, 1998
"... We compute the integer cohomology rings of the "polygon spaces" introduced in [Kl, KM]. This is done by embedding them in certain toric varieties; the restriction map on cohomology is surjective and we calculate its kernel using ideas from the theory of Grobner bases. Since we do not inver ..."
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Cited by 60 (9 self)
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not invert the prime 2, we can tensor with Z 2 ; halving all degrees we show this produces the Z 2 cohomology rings of the planar polygon spaces. In the equilateral case, where there is an action of the symmetric group permuting the edges, we show that the induced action on the integer cohomology
cdc12p, a protein required for cytokinesis in fission yeast is a component of the cell division ring and interacts with profilin
 J. Cell
, 1997
"... Abstract. As in many other eukaryotic cells, cell division in fission yeast depends on the assembly of an actin ring that circumscribes the middle of the cell. Schizosaccharomyces pombe cdc12 is an essential gene necessary for actin ring assembly and septum formation. Here we show that cdc12p is a m ..."
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Cited by 80 (2 self)
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member of a family of proteins including Drosophila diaphanous, Saccharomyces cerevisiae BNI1, and S. pombe fus1, which are involved in cytokinesis or other actinmediated processes. Using indirect immunofluorescence, we show that cdc12p is located in the cell division ring and not in other actin
Matched drawings of planar graphs
"... Abstract A natural way to draw two planar graphs whose vertex sets are matched is to assign each matched pair a unique ycoordinate. In this paper we introduce the concept of such matched drawings, which is a relaxation of simultaneous geometric embeddings with mapping. We study which classes of gr ..."
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of graphs allow matched drawings and show that (i) two 3connected planar graphs or a 3connected planar graph and a tree may not be matched drawable, while (ii) two trees or a planar graph and a sufficiently restricted planar graphsuch as an unlabeled level planar (ULP) graph or a graph of the family
FAMILIES
"... The Xenopus 5 S RNA genes were the first eukaryotic genes to be purified, cloned and sequenced (Brown, 1994). They were found to be of two types. The large oocyte gene family, consisting of 20,000 copies per haploid genome is organized into clusters of 1000 copies within most of the Xenopus chromos ..."
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mosomes. Each copy varies in length between 650 and 850 bp but invariably contains a gene and a pseudogene separated by an A+Trich spacer. Most of the somatic gene family, which consists of 400 copies per haploid genome, is found in a single cluster on one chromosome. Each copy of the somatic type is uniquely
THE CLEO RICH DETECTOR
, 2005
"... We describe the design, construction and performance of a Ring Imaging Cherenkov Detector (RICH) constructed to identify charged particles in the CLEO experiment. Cherenkov radiation occurs in LiF crystals, both planar and ones with a novel “sawtooth”shaped exit surface. Photons in the wavelength i ..."
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We describe the design, construction and performance of a Ring Imaging Cherenkov Detector (RICH) constructed to identify charged particles in the CLEO experiment. Cherenkov radiation occurs in LiF crystals, both planar and ones with a novel “sawtooth”shaped exit surface. Photons in the wavelength
Numerical experiments on vortex ring formation
 J. Fluid Mech
, 2001
"... Numerical simulations are used to study the formation of vortex rings that are generated by applying a nonconservative force of long duration, simulating experimental vortex ring generation with large stroke ratio. For sufficiently longduration forces, we investigate the extent to which properties ..."
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Cited by 19 (9 self)
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Numerical simulations are used to study the formation of vortex rings that are generated by applying a nonconservative force of long duration, simulating experimental vortex ring generation with large stroke ratio. For sufficiently longduration forces, we investigate the extent to which
On the consistency of multiclass classification methods
 In Proceedings of the 18th Conference on Computational Learning Theory (COLT
, 2005
"... Binary classification is a well studied special case of the classification problem. Statistical properties of binary classifiers, such as consistency, have been investigated in a variety of settings. Binary classification methods can be generalized in many ways to handle multiple classes. It turns o ..."
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Cited by 68 (2 self)
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out that one can lose consistency in generalizing a binary classification method to deal with multiple classes. We study a rich family of multiclass methods and provide a necessary and sufficient condition for their consistency. We illustrate our approach by applying it to some multiclass methods
RINGS WITH STABLE RANK ONE
, 1999
"... Abstract. Replacing invertibility with quasiinvertibility in Bass ’ first stable range condition we discover a new class of rings, the QB−rings. These constitute a considerable enlargement of the class of rings with stable rank one (B−rings), and include examples like EndF(V), the ring of endomorph ..."
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of endomorphisms of a vector space V over some field F, and B(F), the ring of all row and columnfinite matrices over F. We show that the category of QB−rings is stable under the formation of corners, ideals and quotients, as well as matrices and direct limits. We also give necessary and sufficient conditions
Results 1  10
of
390