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1,445,869
Polygons in buildings and their refined side lengths
, 2008
"... As in a symmetric space of noncompact type, one can associate to an oriented geodesic segment in a Euclidean building a vector valued length in the Euclidean Weyl chamber ∆euc. In addition to the metric length it contains information on the direction of the segment. We study in this paper restrictio ..."
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Cited by 16 (7 self)
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restrictions on the ∆eucvalued side lengths of polygons in Euclidean buildings. The main result is that for thick Euclidean buildings X the set Pn(X) of possible ∆eucvalued side lengths of oriented ngons, n ≥ 3, depends only on the associated spherical Coxeter complex. We show moreover that it coincides
Side lengths of pseudoconvex fullerene patches
 Ars Mathematica Contemporanea 5
, 2012
"... In this paper we consider fullerene patches with nice boundaries containing between one and five pentagonal faces. We find necessary conditions for the side lengths of such patches, and then prove these conditions are sufficient by constructing such patches. ..."
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Cited by 1 (1 self)
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In this paper we consider fullerene patches with nice boundaries containing between one and five pentagonal faces. We find necessary conditions for the side lengths of such patches, and then prove these conditions are sufficient by constructing such patches.
Pivoted Document Length Normalization
 SIGIR'96
, 1996
"... Automatic information retrieval systems have to deal with documents of varying lengths in a text collection. Document length normalization is used to fairly retrieve documents of all lengths. In this study, we ohserve that a normalization scheme that retrieves documents of all lengths with similar c ..."
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Cited by 471 (16 self)
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Automatic information retrieval systems have to deal with documents of varying lengths in a text collection. Document length normalization is used to fairly retrieve documents of all lengths. In this study, we ohserve that a normalization scheme that retrieves documents of all lengths with similar
The ratedistortion function for source coding with side information at the decoder
 IEEE Trans. Inform. Theory
, 1976
"... AbstractLet {(X,, Y,J}r = 1 be a sequence of independent drawings of a pair of dependent random variables X, Y. Let us say that X takes values in the finite set 6. It is desired to encode the sequence {X,} in blocks of length n into a binary stream*of rate R, which can in turn be decoded as a seque ..."
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Cited by 1055 (1 self)
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AbstractLet {(X,, Y,J}r = 1 be a sequence of independent drawings of a pair of dependent random variables X, Y. Let us say that X takes values in the finite set 6. It is desired to encode the sequence {X,} in blocks of length n into a binary stream*of rate R, which can in turn be decoded as a
Insiders and Outsiders: The Choice between Informed and Arm'sLength Debt
, 1991
"... While the benefits of bank financing are relatively well understood, the costs are not. This paper argues that while informed banks make flexible financial decisions which prevent a firm's projects from going awry, the cost of this credit is that banks have bargaining power over the firm's ..."
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Cited by 846 (18 self)
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While the benefits of bank financing are relatively well understood, the costs are not. This paper argues that while informed banks make flexible financial decisions which prevent a firm's projects from going awry, the cost of this credit is that banks have bargaining power over the firm's profits, once projects have begun. The firm's portfolio choice of borrowing source and the choice of priority for its debt claims attempt to optimally circumscribe the powers of banks.
A simple method for displaying the hydropathic character of a protein
 Journal of Molecular Biology
, 1982
"... A computer program that progressively evaluates the hydrophilicity and hydrophobicity of a protein along its amino acid sequence has been devised. For this purpose, a hydropathy scale has been composed wherein the hydrophilic and hydrophobic properties of each of the 20 amino acid sidechains is tak ..."
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Cited by 2249 (2 self)
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A computer program that progressively evaluates the hydrophilicity and hydrophobicity of a protein along its amino acid sequence has been devised. For this purpose, a hydropathy scale has been composed wherein the hydrophilic and hydrophobic properties of each of the 20 amino acid side
Compact Hilbert Indices: Spacefilling curves for domains with unequal side lengths
, 2007
"... In this paper we define a new compact Hilbert index which, while maintaining all of the advantages of the standard Hilbert curve, permits spaces with unequal dimension cardinalities. The compact Hilbert index can be used in any application that would have previously relied on Hilbert curves but, in ..."
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Cited by 5 (0 self)
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, in the case of unequal side lengths, provides a more memory efficient representation. This advantage is particularly important in distributed applications (Parallel, P2P and Grid), in which not only is memory space saved but communication volume is significantly reduced.
The Science of Monetary Policy: A New Keynesian Perspective
 Journal of Economic Literature
, 1999
"... “Having looked at monetary policy from both sides now, I can testify that central banking in practice is as much art as science. Nonetheless, while practicing this dark art, I have always found the science quEite useful.” 2 Alan S. Blinder ..."
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Cited by 1809 (45 self)
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“Having looked at monetary policy from both sides now, I can testify that central banking in practice is as much art as science. Nonetheless, while practicing this dark art, I have always found the science quEite useful.” 2 Alan S. Blinder
Improved methods for building protein models in electron density maps and the location of errors in these models. Acta Crystallogr. sect
 A
, 1991
"... Map interpretation remains a critical step in solving the structure of a macromolecule. Errors introduced at this early stage may persist throughout crystallographic refinement and result in an incorrect structure. The normally quoted crystallographic residual is often a poor description for the q ..."
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Cited by 1016 (9 self)
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for the quality of the model. Strategies and tools are described that help to alleviate this problem. These simplify the modelbuilding process, quantify the goodness of fit of the model on a perresidue basis and locate possible errors in peptide and sidechain conformations.
Relative Newton numbers of regular polygons with equal side lengths
, 2000
"... Let K n denote a regular ngon with unit side length. For two regular polygons K n and Km let the relative Newton number N(K n ; Km ) of K n and Km be the maximum number of congruent copies of Km that can touch K n without having interior points in common. In this paper we determine the exact value ..."
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Let K n denote a regular ngon with unit side length. For two regular polygons K n and Km let the relative Newton number N(K n ; Km ) of K n and Km be the maximum number of congruent copies of Km that can touch K n without having interior points in common. In this paper we determine the exact
Results 1  10
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