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Combinatorial library diversity: probability assessment of library populations [PDF]
Nucleic Acids Research, 1998 A method is described for measuring the diversity of combinatorial oligonucleotide libraries that entails extrapolating the base composition of a co-synthesized model library (dNC, N = A, C, G, T) to that of a multibase library template. The base composition of dNC was measured by HPLC.
B, Ward, T, Juehne
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Considerations on probability: from games of chance to modern science
Statistica, 2015 The article sets out a number of considerations on the distinction between variability and uncertainty over the centuries. Games of chance have always been useful random experiments which through combinatorial calculation have opened the way to ...
Paola Monari
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Symmetry, Probabiliy, Entropy: Synopsis of the Lecture at MAXENT 2014
Entropy, 2015 In this discussion, we indicate possibilities for (homological and non-homological) linearization of basic notions of the probability theory and also for replacing the real numbers as values of probabilities by objects of suitable combinatorial ...
Misha Gromov
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Research on Universal Combinatorial Coding
The Scientific World Journal, 2014 The conception of universal combinatorial coding is proposed. Relations exist more or less in many coding methods. It means that a kind of universal coding method is objectively existent. It can be a bridge connecting many coding methods.
Jun Lu, Zhuo Zhang, Juan Mo
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Известия Иркутского государственного университета: Серия "Математика", 2021 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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On Singularities and Black Holes in Combination-Driven Models of Technological Innovation Networks. [PDF]
PLoS ONE, 2016 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]
Transactions of the American Mathematical Society, 1956 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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Some aspects of teaching combinatorics and statistics
Lietuvos Matematikos Rinkinys, 2011 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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Combinatorial probability and the tightness of generalization bounds [PDF]
Pattern Recognition and Image Analysis, 2008 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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Key Distribution System Based on Hadamard Designs
Моделирование и анализ информационных систем, 2019 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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