Results 121 to 130 of about 5,650 (159)

Thematic mathematics: the combinatorics of prime factorizations

Teaching Mathematics and its Applications, 2009
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.
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Combinatorics in Indian Mathematics

2008
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
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Combinatorics and Finite Mathematics

2016
The 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, 2014
This 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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Asymptotic Combinatorics with Application to Mathematical Physics

2002
Preface. 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.
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Infinitary combinatorics in condensed mathematics and strong homology

Selecta Mathematica
Recent advances in our understanding of higher derived limits carry multiple implications in the fields of condensed and pyknotic mathematics, as well as for the study of strong homology. These implications are thematically diverse, pertaining, for example, to the sheaf theory of extremally disconnected spaces, to Banach–Smith duality, to the ...
Bergfalk, J., Lambie-Hanson, C. (Christopher)   +1 more
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Relations between Combinatorics and Other Parts of Mathematics

1979
Brings into focus interconnections between combinatorics on the one hand and geometry, group theory, number theory, special functions, lattice packings, logic, topological embeddings, games, experimental dsigns, and sociological and biological applications on the other hand.
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On the place of combinatorics in the mathematical training of schoolchildren.

Science and School, 2023
A. N. Vetokhin, E. I. Deza, D. L. Model
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Abelian combinatorics on words: A survey

Computer Science Review, 2023
Gabriele Fici, Svetlana Puzynina
exaly  

A case for combinatorics: A research commentary

Journal of Mathematical Behavior, 2020
Elise Lockwood, Erik S Tillema
exaly