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Infinite combinatorics in mathematical biology
Biosystems, 2021 Is 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 +2 more
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An Introduction To Smarandache Multi-Spaces And Mathematical Combinatorics [PDF]
viXra, 2007 These Smarandache spaces are right theories for objectives by logic. However, the mathematical combinatorics is a combinatorial theory for branches in classical mathematics motivated by a combinatorial speculation. Both of them are unifying theories for sciences and contribute more and more to mathematics in the 21st century. In this paper, I introduce
Linfan Mao
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The mathematical studies of G.W. Leibniz on combinatorics
Historia Mathematica, 1974 AbstractLeibniz considered the “ars combinatoria” as a science of fundamental significance, much more extensive than the combinatorics of today. His only publications in the field were his youthful Dissertatio de Arte Combinatoria of 1666 and a short article on probability, but he left an extensive (hitherto unpublished and unstudied) Nachlass dealing ...
Eberhard Knobloch, West Berlin
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Combinatorics, geometry, and mathematical physics [PDF]
, 1998 This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). Combinatorics and geometry have been among the most active areas of mathematics over the past few years because of newly discovered inter-relations between them and their potential for applications. In this
Chen, W.Y.C., Louck, J.D.
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Limit combinatorics as a method for investigating of mathematical models [PDF]
Journal of Physics: Conference Series, 2018 В. Н. Ремесленников
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Open questions about Ramsey-type statements in reverse mathematics [PDF]
, 2015 Ramsey's theorem states that for any coloring of the n-element subsets of N with finitely many colors, there is an infinite set H such that all n-element subsets of H have the same color.
Patey, Ludovic
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Tracing evolutionary links between species [PDF]
, 2014 The idea that all life on earth traces back to a common beginning dates back at least to Charles Darwin's {\em Origin of Species}. Ever since, biologists have tried to piece together parts of this `tree of life' based on what we can observe today ...
Steel, Mike
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R.A.Fisher, design theory, and the Indian connection [PDF]
, 2009 Design Theory, a branch of mathematics, was born out of the experimental statistics research of the population geneticist R. A. Fisher and of Indian mathematical statisticians in the 1930s.
A R P Rau +43 more
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On the classification of easy quantum groups [PDF]
, 2013 In 2009, Banica and Speicher began to study the compact quantum subgroups of the free orthogonal quantum group containing the symmetric group S_n. They focused on those whose intertwiner spaces are induced by some partitions. These so-called easy quantum
Abstract In, Groups On, Moritz Weber
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, 2004 This article is not a research paper, but a little note on the history of combinatorics: We present here a tentative short biography of Henri Delannoy, and a survey of his most notable works.
Aeppli +70 more
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