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Combinatorics and Nonparametric mathematics
Annals of Combinatorics, 1997Nonparametric 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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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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Contributions by Aart Blokhuis to finite geometry, discrete mathematics, and combinatorics
Designs, Codes, and Cryptography, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinite combinatorics in mathematical biology
Biosystems, 2021Is it possible to apply infinite combinatorics and (infinite) set theory in theoretical biology? We do not know the answer yet but in this article we try to present some techniques from infinite combinatorics and set theory that have been used over the last decades in order to prove existence results and independence theorems in algebra and that might ...
Saharon Shelah, Lutz Strüngmann
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Combinatorics in Vedic Mathematics
La Sallianum Ars et Scientia, 2020This paper draws inspiration from the seminal work and great book of Bharati Krishna Tirthaji and the preceding contributions and significant contributions of Kenneth Williams, Swati Dave, Marianne Fletcher, James Glover, Veronica Prudente, Virgillo Prudente and Gowri Ramachandran.
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CONSTRUCTIVE COMBINATORICS IN PRIMARY SCHOOL MATHEMATICS
Доклады Российской академии наук. Математика, информатика, процессы управления, 2023The paper is describing the class of educational problems from the course of mathematics and computer science for elementary school. This course has been implemented over the past decades by a team led by A.L. Semenov. In the problems it is required to find, build, list all objects that satisfy a certain system of conditions. The student conducts these
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Thematic mathematics: the combinatorics of prime factorizations
Teaching Mathematics and its Applications, 2009In 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 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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Combinatorics in Indian Mathematics
2008This [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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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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