Results 51 to 60 of about 1,884,911 (319)
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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Considerations on probability: from games of chance to modern science
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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The splitting process in free probability theory [PDF]
Free cumulants were introduced by Speicher as a proper analog of classical cumulants in Voiculescu's theory of free probability. The relation between free moments and free cumulants is usually described in terms of Moebius calculus over the lattice of ...
Ebrahimi-Fard, Kurusch, Patras, Frederic
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Advances in Combinatorial Methods and Applications to Probability and Statistics [PDF]
N. Balakrishnan
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Research on Universal Combinatorial Coding
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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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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Penney's game between many players
We recall a combinatorial derivation of the functions generating probability of winnings for each of many participants of the Penney's game and show a generalization of the Conway's formula to this case.Comment: 6 ...
Zajkowski, Krzysztof
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A characterization of testable hypergraph properties [PDF]
We provide a combinatorial characterization of all testable properties of $k$-graphs (i.e. $k$-uniform hypergraphs). Here, a $k$-graph property $\mathbf{P}$ is testable if there is a randomized algorithm which makes a bounded number of edge queries and ...
Joos, Felix +3 more
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Spanning forests and the vector bundle Laplacian [PDF]
The classical matrix-tree theorem relates the determinant of the combinatorial Laplacian on a graph to the number of spanning trees. We generalize this result to Laplacians on one- and two-dimensional vector bundles, giving a combinatorial interpretation
Kenyon, Richard
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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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