Results 61 to 70 of about 147,491 (227)
The Necessary Uniformity of Physical Probability
Philosophy and Phenomenological Research, EarlyView.ABSTRACT According to contemporary consensus, physical probabilities may be “non‐uniform”: they need not correspond to a uniform measure over the space of physically possible worlds. Against consensus, I argue that only uniform probabilities connect robustly to long‐run frequencies.
Ezra Rubenstein
wiley +1 more source
A simple recurrence formula for the number of rooted maps on surfaces by edges and genus [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We establish a simple recurrence formula for the number $Q_g^n$ of rooted orientable maps counted by edges and genus. The formula is a consequence of the KP equation for the generating function of bipartite maps, coupled with a Tutte equation, and it was
Sean Carrell, Guillaume Chapuy
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Unimodality Problems in Ehrhart Theory
, 2017 Ehrhart theory is the study of sequences recording the number of integer points in non-negative integral dilates of rational polytopes. For a given lattice polytope, this sequence is encoded in a finite vector called the Ehrhart $h^*$-vector. Ehrhart $h^*
A. Stapledon +45 more
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Lessons in Enumerative Combinatorics. By Ömer Eğecioğlu and Adriano M. Garsia. Springer, 2021. Softcover, pp. xvi + 479. ISBN 978-3-030-71252-5. Price EUR 68.56. [PDF]
, 2022 Firdous Ahmad Mala, Firdous Ahmad Mala
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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
Combinatorics of Positroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Recently Postnikov gave a combinatorial description of the cells in a totally-nonnegative Grassmannian. These cells correspond to a special class of matroids called positroids.
Suho Oh
doaj +1 more source
Combinatorics in the Art of the Twentieth Century [PDF]
, 2017 This paper is motivated by a question I asked myself: How can combinatorial structures be used in a work of art? Immediately, other questions arose: Whether there are artists that work or think combinatorially?
Barrière Figueroa, Eulalia
core
Teaching of probability theory and combinatorics at secondary schools
Lietuvos Matematikos Rinkinys, 2004 The topics of probability theory and combinatorics were brought into curricula of Lithuanian secondary schools ten years ago. The problems of teaching and actual situation of apprehension of concepts of probability theory and combinatorics are analyzed.
Eugenijus Stankus
doaj +3 more sources
Statistics of Feynman amplitudes in ϕ 4-theory
Journal of High Energy Physics, 2023 The amplitude of subdivergence-free logarithmically divergent Feynman graphs in ϕ 4-theory in 4 spacetime dimensions is given by a single number, the Feynman period. We numerically compute the periods of 1.3 million completed graphs, this represents more
Paul-Hermann Balduf
doaj +1 more source
, 2015 We introduce Quintessence: a family of burr puzzles based on the geometry and combinatorics of the 120-cell. We discuss the regular polytopes, their symmetries, the dodecahedron as an important special case, the three-sphere, and the quaternions. We then
Schleimer, Saul, Segerman, Henry
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