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The article provides a brief overview of the history milestones of scientific and pedagogical activity and the achievements of the Department of Probability Theory and Discrete Mathematics of Irkutsk State University for 50 years since its foundation.
O.V. Kuzmin
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Topological Multi-groups and Multi-fields [PDF]
Topological groups, particularly, Lie groups are very important in differential geometry, analytic mechanics and theoretical physics. Applying Smarandache multi-spaces, topological spaces, particularly, manifolds and groups were generalized to ...
MAO, Linfan
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On Singularities and Black Holes in Combination-Driven Models of Technological Innovation Networks. [PDF]
It has been suggested that innovations occur mainly by combination: the more inventions accumulate, the higher the probability that new inventions are obtained from previous designs.
Ricard Solé +2 more
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A Combinatorial Lemma and its Application to Probability Theory [PDF]
To explain the idea behind the present paper the following fundamental principle is emphasized. Let X = (X 1,…, X n ) be an n-dimensional vector valued random variable, and let µ(x) =µ(x 1…, x n )be its probability measure (defined on euclidean n-space E n ).
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Combinatorial probability and the tightness of generalization bounds [PDF]
Accurate prediction of the generalization ability of a learning algorithm is an important problem in computational learning theory. The classical Vapnik-Chervonenkis (VC) generalization bounds are too general and therefore overestimate the expected error. Recently obtained data-dependent bounds are still overestimated.
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Dynamic Combinatorial Libraries: From Exploring Molecular Recognition to Systems Chemistry [PDF]
Dynamic combinatorial chemistry (DCC) is a subset of combinatorial chemistry where the library members interconvert continuously by exchanging building blocks with each other.
Otto, Sijbren, +9 more
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Some aspects of teaching combinatorics and statistics
The paper deals with some definitions of combinatorial and statistical terms. Trying to find out why some certain knowledge of combinatory, probability theory ant statistics is difficult to acquire for pupils, some schoolbooks of mathematics are examined.
Algis Kavaliauskas, Inga Žilinskienė
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Key Distribution System Based on Hadamard Designs
The problem of key distribution in a community for providing secure communication between its participants is studied. To solve this problem, key predistribution systems can be used, in which each user receives some key information that can later be used
Vladimir M. Deundyak, Alexey A. Taran
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ABSTRACT Background Children with sickle cell anemia (SCA) in low‐income settings are at risk of severe malnutrition, but optimal nutritional management has not been established. We evaluated an intensified ready‐to‐use therapeutic food (RUTF) regimen in children with persistent severe malnutrition after initial treatment and assessed whether early ...
Safiya Gambo +9 more
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The substantial key to initiate an explicit statistical formula for a physically specified continua is to consider a derivative expression, in order to identify the definitive configuration of the continua itself. Moreover, this statistical formula is to
Baghdad Science Journal
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