Results 11 to 20 of about 270,762 (116)
Mathematical Elements of Density Functional Theory [PDF]
We review some of the basic mathematical results about density functional theory.
arxiv +1 more source
Tracing evolutionary links between species [PDF]
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
A Case for Combinatorics: A Research Commentary [PDF]
In this commentary, we make a case for the explicit inclusion of combinatorial topics in mathematics curricula, where it is currently essentially absent. We suggest ways in which researchers might inform the field’s understanding of combinatorics and its
Lockwood, Elise+2 more
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R.A.Fisher, design theory, and the Indian connection [PDF]
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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This is the preface of the special volume of Discrete Mathematics dedicated to Combinatorics 2008 we curated as guest ...
Bonisoli A.+6 more
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Recent Trends in Combinatorics [PDF]
Section 1: Extremal and Probabilistic Combinatorics -- Problems Related to Graph Indices in Trees -- The edit distance in graphs: methods, results and generalizations -- Repetitions in graphs and sequences -- On Some Extremal Problems for Cycles in ...
Beveridge, Andrew+5 more
core +3 more sources
Unimodality Problems in Ehrhart Theory
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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Opinion Exchange Dynamics [PDF]
We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction...
Mossel, Elchanan, Tamuz, Omer
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An Introduction to Combinatorics via Cayley\u27s Theorem [PDF]
In this paper, we explore some of the methods that are often used to solve combinatorial problems by proving Cayley’s theorem on trees in multiple ways. The intended audience of this paper is undergraduate and graduate mathematics students with little to
Willis, Jaylee
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Mathematics Turned Inside Out: The Intensive Faculty Versus the Extensive Faculty [PDF]
Research universities in the United States have larger mathematics faculties outside their mathematics departments than inside. Members of this "extensive" faculty conduct most mathematics research, their interests are the most heavily published areas of mathematics, and they teach this mathematics in upper division courses independent of mathematics ...
arxiv +1 more source