Results 1  10
of
243
Resonant Hypergeometric Systems and Mirror Symmetry
, 1997
"... In Part I the Γseries of [11] are adapted so that they give solutions for certain resonant systems of Gel’fandKapranovZelevinsky hypergeometric differential equations. For this some complex parameters in the Γseries are replaced by nilpotent elements from a ring RA,T. The adapted Γseries is a f ..."
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Cited by 32 (1 self)
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In Part I the Γseries of [11] are adapted so that they give solutions for certain resonant systems of Gel’fandKapranovZelevinsky hypergeometric differential equations. For this some complex parameters in the Γseries are replaced by nilpotent elements from a ring RA,T. The adapted Γseries is a
Hypergeometric Group Testing With Incomplete
"... We study several group testing models with and without processing times. The objective is to choose an optimal group size for pooled screening of a contaminated population so as to collect a prespeci ed number of good items from it with minimum testing expenditures. The tested groups that are f ..."
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We study several group testing models with and without processing times. The objective is to choose an optimal group size for pooled screening of a contaminated population so as to collect a prespeci ed number of good items from it with minimum testing expenditures. The tested groups
On algebraic equations satisfied by hypergeometric correlators in WZW models
 I, Commun. Math. Phys
, 1994
"... 1.1. Let g be a simple finite dimensional complex Lie algebra; let ( , ) be an invariant scalar product on g normalized in such a way that (θ,θ) = 2, θ being the highest root. Fix a positive integer k. Let L1,...,Ln+1 be irreducible representations of g with highest weights Λ1,...,Λn+1. Suppose tha ..."
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Cited by 21 (10 self)
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1.1. Let g be a simple finite dimensional complex Lie algebra; let ( , ) be an invariant scalar product on g normalized in such a way that (θ,θ) = 2, θ being the highest root. Fix a positive integer k. Let L1,...,Ln+1 be irreducible representations of g with highest weights Λ1,...,Λn+1. Suppose that (Λi,θ) ≤ k for all i.
Hypergeometric Equations and Weighted Projective Spaces
, 2006
"... We compute the Hodge numbers of the polarised (pure) variation of Hodge structure V = gr W n−1 Rn−1 f! Z of the LandauGinzburg model f: Y → C mirrordual to a weighted projective space wP n in terms of a variant of Reid’s age function of the anticanonical cone over wP n. This implies, for instance, ..."
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Cited by 11 (1 self)
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, that wP n has canonical singularities if and only if h n−1,0 V = 1. We state a conjectural formula for the Hodge numbers of general hypergeometric variations. We show that a general fibre of the LandauGinzburg model is birational to a CalabiYau variety if and only if a general anticanonical section
International Journal of Reliability, Quality and Safety Engineering c World Scientific Publishing Company MAXIMUM LIKELIHOOD ESTIMATES FOR THE HYPERGEOMETRIC SOFTWARE RELIABILITY MODEL
, 2002
"... We present a fast and exact novel algorithm to compute maximum likelihood estimates for the number of defects initially contained in a software, using the hypergeometric software reliability model. The algorithm is based on a rigorous and comprehensive mathematical analysis of the growth behavior of ..."
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We present a fast and exact novel algorithm to compute maximum likelihood estimates for the number of defects initially contained in a software, using the hypergeometric software reliability model. The algorithm is based on a rigorous and comprehensive mathematical analysis of the growth behavior
Generalized Hypergeometric Functions and Rational Curves on CalabiYau complete intersections in Toric Varieties
 COMMUN. MATH. PHYS
, 1995
"... We formulate general conjectures about the relationship between the Amodel connection on the cohomology of a ddimensional CalabiYau complete intersection V of r hypersurfaces V1,...,Vr in a toric variety PΣ and the system of differential operators annihilating the special generalized hypergeometr ..."
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Cited by 98 (14 self)
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We formulate general conjectures about the relationship between the Amodel connection on the cohomology of a ddimensional CalabiYau complete intersection V of r hypersurfaces V1,...,Vr in a toric variety PΣ and the system of differential operators annihilating the special generalized
A Hypergeometric Test for Omitted Nonlinearity ∗
, 2003
"... A frequently used test for unspeciÞed nonlinear omissions is the parametric RESET, which is based upon a Þnite polynomial. We follow Abadir (1999), who suggests that the generalized hypergeometric function may provide a more ßexible proxy for the omission; and propose a new approach, seminonparamet ..."
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procedure, and offer practical solutions that should be especially useful whenever hypergeometrics are applied to problems of modelling nonlinearity.
GKZGeneralized Hypergeometric Systems in Mirror Symmetry of CalabiYau Hypersurfaces
, 1996
"... We present a detailed study of the generalized hypergeometric system introduced by Gel’fand, Kapranov and Zelevinski (GKZhypergeometric system) in the context of toric geometry. GKZ systems arise naturally in the moduli theory of CalabiYau toric varieties, and play an important role in application ..."
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Cited by 57 (16 self)
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We present a detailed study of the generalized hypergeometric system introduced by Gel’fand, Kapranov and Zelevinski (GKZhypergeometric system) in the context of toric geometry. GKZ systems arise naturally in the moduli theory of CalabiYau toric varieties, and play an important role
Hypergeometric language models for republished article finding
 In SIGIR '11
, 2011
"... Republished article finding is the task of identifying instances of articles that have been published in one source and republished more or less verbatim in another source, which is often a social media source. We address this task as an ad hoc retrieval problem, using the source article as a query ..."
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Cited by 4 (0 self)
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document with replacement, i.e., the multinomial modeling of documents, produces less accurate query likelihood estimates. To make up for this discrepancy, we consider distributions that emerge from sampling without replacement: the central and noncentral hypergeometric distributions. We present two
Results 1  10
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243