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Dual processes in mathematics: reasoning about conditionals [PDF]
This thesis studies the reasoning behaviour of successful mathematicians. It is based on the philosophy that, if the goal of an advanced education in mathematics is to develop talented mathematicians, it is important to have a thorough understanding of ...
Inglis, Matthew, Ph.D.
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Contemporary Mathematical Approaches to Computability Theory [PDF]
, 2021 In this paper, I present an introduction to computability theory and adopt contemporary mathematical definitions of computable numbers and computable functions to prove important theorems in computability theory. I start by exploring the history of computability theory, as well as Turing Machines, undecidability, partial recursive functions, computable
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Agent-Based Modeling: The Right Mathematics for the Social Sciences? [PDF]
This study provides a basic introduction to agent-based modeling (ABM) as a powerful blend of classical and constructive mathematics, with a primary focus on its applicability for social science research. The typical goals of ABM social science ...
Tesfatsion, Leigh, Borrill, Paul L.
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, 2020 Includes bibliographical referencesThe contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration ...
Dick Josef +2 more
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Four PPPPerspectives on Computational Creativity [PDF]
, 2015 From what perspective should creativity of a system be considered? Are we interested in the creativity of the system’s out- put? The creativity of the system itself? Or of its creative processes? Creativity as measured by internal features or by external
Jordanous, Anna
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Regularity theory for mean-field game systems
, 2016 Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs.
Gomes, Diogo A +5 more
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, 2008 Computational type theory provides answers to questions such as: What is a type? What is a natural number? How do we compute with types? How are types related to sets? Can types be elements of types?
Constable, Robert L.
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Computer simulations, mathematics and economics [PDF]
Economists lise different kinds of computer simulation. However, there is little attention on the theory of simulation, which is considered either a technology or an extension of mathematical theory or, else, a way of modelling that is alternative to ...
Fontana Magda
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Computational Poetry Workshop: Making Sense of Work in Progress [PDF]
, 2015 Creativity cannot exist in a vacuum; it develops throughfeedback, learning, reflection and social interactionwith others. However, this perspective has been relativelyunder-investigated in computational creativity research,which typically examines ...
Shepperd, Rosie +6 more
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, 2021 The De Gruyter Series in Mathematics and Life Sciences is devoted to the publication of monographs in the field. They cover topics and methods in fields of current interest that use mathematical approaches to understand and explain, model and influence ...
Rouzine Igor M.,
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