Results 61 to 70 of about 660,683 (355)
A new class of infinite products, and Euler's totient
International Journal of Mathematics and Mathematical Sciences, 1994 We introduce some new infinite products, the simplest being(1−y)∏k=2∞∏j∈ϕk(1−ykqj)1/k=(1−y1−qy)1/(1−q),where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q≠1.
Geoffrey B. Campbell
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Real-world applications of number theory [PDF]
ریاضی و جامعهThe above abstract has been extracted by the translator from the original article (J. Klaška, Real-world applications of number theory, South Bohemia Mathematical Letters, 25 no.
Rahim Rahmati-Asghar
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Arc Spaces and Rogers-Ramanujan Identities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities.
Clemens Bruschek +2 more
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Positroids and non-crossing partitions [PDF]
, 2013 We investigate the role that non-crossing partitions play in the study of positroids, a class of matroids introduced by Postnikov. We prove that every positroid can be constructed uniquely by choosing a non-crossing partition on the ground set, and then ...
Federico Ardila, F. Rincón, L. Williams
semanticscholar +1 more source
Matematychni Studii, 2014 We classify the subsets of a group by their sizes, formalize the basic methods of partitions and apply them to partition a group to subsets of prescribed sizes.
Protasov, I., Slobodianiuk, S.
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Classifiers, partitions, and measurements: Exploring the syntax and semantics of sortal classifiers
Glossa, 2019 In many languages, measure terms like item and kilo, as in two items of furniture and two kilos of rice, can be used either to partition the nominal denotation into countable units, or to measure a denotation without inducing a partition. These two types
Alan Bale, Jessica Coon, Nicholás Arcos
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A categorification of non-crossing partitions [PDF]
, 2013 We present a categorification of the non-crossing partitions given by crystallographic Coxeter groups. This involves a category of certain bilinear lattices, which are essentially determined by a symmetrisable generalised Cartan matrix together with a ...
Andrew Hubery, H. Krause
semanticscholar +1 more source
Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Scoring Coreference Partitions of Predicted Mentions: A Reference Implementation
Annual Meeting of the Association for Computational Linguistics, 2014 The definitions of two coreference scoring metrics— B3 and CEAF—are underspecified with respect to predicted, as opposed to key (or gold) mentions. Several variations have been proposed that manipulate either, or both, the key and predicted mentions in ...
Sameer Pradhan +5 more
semanticscholar +1 more source
Formal Aspects of Computing, 1993 Abstract By definition, a partition of a list is a division of that list into nonempty contiguous segments. Many programming and operations research problems can be specified in terms of list partitions, and we present a hierarchy of theorems for deriving programs from such specifications.
Bird, R, de Moor, O
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