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CONSTRUCTIVE COMBINATORICS IN PRIMARY SCHOOL MATHEMATICS

Доклады Российской академии наук. Математика, информатика, процессы управления, 2023
The 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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Combinatorics in Vedic Mathematics

La Sallianum Ars et Scientia, 2020
This 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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Combinatorics and Nonparametric mathematics

Annals of Combinatorics, 1997
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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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 and Applied Mathematics

1986
I have come to speak on the subject of combinatorics, or more generally, discrete mathematics; and applied mathematics.
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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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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.   +1 more
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A Combinatorics Course with One Goal: Authentic Mathematical Inquiry

PRIMUS, 2016
AbstractThis article shares an example of a course in Combinatorics, taught at Adelphi University in Fall 2012, designed with a primary goal of engaging students in pursuing mathematics as mathematicians do. The course went beyond usual applications of inquiry-based learning in that students were also charged with the responsibility of posing the ...
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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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