Results 1 to 10 of about 98,805 (226)
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Dissertatio de Arte Combinatoria of 1666 and a short article on probability, but he left an extensive (hitherto unpublished and unstudied) Nachlass dealing ...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
openaire +3 more sources
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.
openaire +5 more sources
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
core +3 more sources
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
core +2 more sources
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
core +3 more sources
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
core +1 more source
, 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
core +5 more sources
Rainbow perfect matchings in r-partite graph structures [PDF]
, 2016 A matching M in an edge–colored (hyper)graph is rainbow if each pair of edges in M have distinct colors. We extend the result of Erdos and Spencer on the existence of rainbow perfect matchings in the complete bipartite graph Kn,n to complete bipartite ...
Cano Vila, María del Pilar +2 more
core +2 more sources
Poset topology and homological invariants of algebras arising in algebraic combinatorics [PDF]
, 2013 We present a beautiful interplay between combinatorial topology and homological algebra for a class of monoids that arise naturally in algebraic combinatorics. We explore several applications of this interplay.
Margolis, Stuart +2 more
core +4 more sources
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
core +1 more source