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Combinatorics in Indian Mathematics [PDF]
This [rule] has been handed down [to us] as a general [method], being employed [for their own purposes] by the experts [of specific fields of study], namely, for the tabular presentation of possible meters in metrics, for the number of ways of opening ventilating holes, etc., and the diagram called Partial Meru in arts and crafts, and for the varieties
Takao Hayashi
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Thematic mathematics: the combinatorics of prime factorizations
In this article, we use a particular example to illustrate a thematic approach to the teaching and learning of mathematics. Our theme, suitable for undergraduates and able sixth-form students, is the enumeration of mathematical objects associated with the prime factorizations of integers.
Martin Griffiths
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Combinatorics and Nonparametric mathematics [PDF]
Nonparametric statistics, toric varieties, matroids – a more disparate trio of mathematical subjects can hardly be imagined, and yet, they share a basic idea. The idea is to replace a numerical or continuous quantity in an existing “classical” subject by a discrete combinatorial quality.
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Asymptotic Combinatorics with Application to Mathematical Physics
2002Preface. Program. List of participants. Part One: Matrix Models and Graph Enumeration. Matrix Quantum Mechanics V. Kazakov. Introduction to matrix models E. Brezin. A Class of the Multi-Interval Eigenvalue Distributions of Matrix Models and Related Structures V. Buslaev, L. Pastur. Combinatorics and Probability of Maps V.A. Malyshev.
Anatoly Vershik, Vadim Malyshev
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Combinatorics and Applied Mathematics
1986I have come to speak on the subject of combinatorics, or more generally, discrete mathematics; and applied mathematics.
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Combinatorics and Finite Mathematics
2016The integer points on the line and the edges between them can be coloured \( 1 --(3) --2 --(1) --3 --(2) --1 \) and so on, where the edge colouring is in parentheses. Form a plane by stacking these lines unit distance apart, making sure that each vertex has a different coloured vertex above and below it; use colours 4 and 5 judiciously to colour the ...
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In the footsteps of Euler and MacMahon: combinatorics, the mathematics that counts
BSHM Bulletin: Journal of the British Society for the History of Mathematics, 2014This article is based on my presidential address, given at the BSHM Christmas meeting on 7 December 2013. It features the history of combinatorics, a much neglected area, with particular reference to the work of two mathematicians who have always interested me—Leonhard Euler and Major Percy MacMahon—and with further contributions by Arthur Cayley (on ...
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