Results 61 to 70 of about 73,517 (203)
, 2008 Classical crystals are solid materials containing arbitrarily long periodic repetitions of a single motif. In this paper, we study the maximal possible repetition of the same motif occurring in beta-integers -- one dimensional models of quasicrystals. We
A. Carpi +17 more
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Fragmentary Fuzzy Pseudometrics: Basics of the Theory and Applications in Combinatorics on Words
Baltic Journal of Modern Computing, 2016 . By modifying the well-known concept of a fuzzy metric introduced in 1994 by A. George and P. Veeramani, we define the notion of a fragmentary fuzzy pseudometric.
Raivis Bēts, A. Sostak
semanticscholar +1 more source
Creativity and Innovation Management, EarlyView.ABSTRACT This paper explores the limits of mission‐directed entrepreneurial states by drawing on the theory of recombinant innovation and F.A. Hayek's insights on the spontaneous growth of knowledge in society. First, the use of discretionary policymaking curtails the range of knowledge generated in the process of social interaction, limiting the scope
Bryan Cheang, Praharsh Mehrotra
wiley +1 more source
Forbidden intersection problems for families of linear maps
Discrete Analysis, 2023 Forbidden intersection problems for families of linear maps, Discrete Analysis 2023:19, 32 pp. A central problem in extremal combinatorics is to determine the maximal size of a set system given constraints on the sizes of the sets in the system and on ...
David Ellis, Guy Kindler, Noam Lifshitz
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The Role of Dice in the Emergence of the Probability Calculus
International Statistical Review, EarlyView.Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley +1 more source
Algebraic properties of word equations
, 2014 The question about maximal size of independent system of word equations is one of the most striking problems in combinatorics on words. Recently, Aleksi Saarela has introduced a new approach to the problem that is based on linear-algebraic properties of ...
Holub, Štěpán, Žemlička, Jan
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The implications of generative artificial intelligence for mathematics education
School Science and Mathematics, EarlyView.Abstract Generative artificial intelligence has become prevalent in discussions of educational technology, particularly in the context of mathematics education. These AI models can engage in human‐like conversation and generate answers to complex questions in real‐time, with education reports accentuating their potential to make teachers' work more ...
Candace Walkington
wiley +1 more source
On an Algorithm for Multiperiodic Words
Acta Polytechnica, 2013 We consider an algorithm by Tijdeman and Zamboni constructing a word of length k thathas periods p1, . . . , pr, and the richest possible alphabet.
Štepán Holub
doaj
Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence [PDF]
, 2014 Nous d\'ecrivons quelques r\'esultats r\'ecents sur la suite de Thue-Morse, ainsi que des questions ou conjectures, dont l'une, due \`a Shevelev, est r\'esolue dans cet article. We describe some recent results on the Thue-Morse sequence.
J. Allouche
semanticscholar +1 more source
Rhombic tilings and Bott-Samelson varieties
, 2016 S.~Elnitsky (1997) gave an elegant bijection between rhombic tilings of $2n$-gons and commutation classes of reduced words in the symmetric group on $n$ letters.
Escobar, Laura +3 more
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