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A process of rumour scotching on finite populations
(The Royal Society, 2015)
Rumour spreading is a ubiquitous phenomenon in social and technological networks. Traditional models consider that the rumour is propagated by pairwise interactions between spreaders and ignorants. Only spreaders are active ...
Escaping the tragedy of the commons through targeted punishment
(The Royal Society, 2015)
Failures of cooperation cause many of society’s gravest problems. It is well known that cooperation among many players faced with a social dilemma can be maintained thanks to the possibility of punishment, but achieving ...
Algebra and Trigonometry
(OpenStax College, 2015)
Written and reviewed by a team of highly experienced instructors, Algebra and Trigonometry provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory ...
Introduction to Mathematical Analysis
(Portland State University, 2015)
Chapter 1: Tools for Analysis. 1.1 Basic Concepts of Set Theory. 1.2 Functions. 1.3 The Natural Numbers and Mathematical Induction. 1.4 Order Field Axioms. 1.5 The Completeness Axiom for the Real Numbers. 1.6 Applications ...
Spiral WorKBook for Discrete Mathematics
(Open SUNY Textbooks, 2015)
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis ...
On themodularity of certain functions from the Gromov–Witten theory of elliptic orbifolds
(2015)
In this paper, we study modularity of several functions which naturally arose in a recent paper of Lau and Zhou on open Gromov–Witten potentials of elliptic orbifolds. They derived a number of examples of indefinite theta ...
Study of coupled nonlinear partial differential equations for finding exact analytical solutions
(2015)
Exact solutions of nonlinear partial differential equations (NPDEs) are obtained via the enhanced (G_x0002_/G)-expansion method. The method is subsequently applied to find exact solutions of the Drinfel’d–Sokolov–Wilson ...
Calculating mutual information for spike trains and other data with distances but no coordinates
(2015)
Many important data types, such as the spike trains recorded from neurons in typical electrophysiological experiments, have a natural notion of distance or similarity between data points, even though there is no obvious ...
The duality of spatial death birth and birth death processes and limitations of the isothermal theorem
(2015)
Evolutionary models on graphs, as an extension of the Moran process, have two major implementations: birth–death (BD) models (or the invasion process) and death–birth (DB) models (or voter models). The isothermal theorem ...
Nonlinear neutral inclusions
(2015)
The problem of determining nonlinear neutral inclusions in (electrical or thermal) conductivity is considered. Neutral inclusions, inserted in a matrix containing a uniform applied electric field, do not disturb the field ...