E pluribus unum From Complexity, Universality
Modern mathematics is a powerful tool to model any number of real-world situations, whether they be natural—the motion of celestial bodies, for example, or the physical and chemical properties of a material—or man-made: for example, the stock market or the voting preferences of an electorate.¹ In pr...
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Published in | The Best Writing on Mathematics 2013 Vol. 4; pp. 32 - 46 |
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Main Author | |
Format | Book Chapter |
Language | English |
Published |
United States
Princeton University Press
19.01.2014
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Subjects | |
Online Access | Get full text |
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Abstract | Modern mathematics is a powerful tool to model any number of real-world situations, whether they be natural—the motion of celestial bodies, for example, or the physical and chemical properties of a material—or man-made: for example, the stock market or the voting preferences of an electorate.¹ In principle, mathematical models can be used to study even extremely complicated systems with many interacting components. However, in practice, only simple systems (ones that involve only two or three interacting agents) can be solved precisely. For instance, the mathematical derivation of the spectral lines of hydrogen, with its single electron orbiting the |
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AbstractList | Modern mathematics is a powerful tool to model any number of real-world situations, whether they be natural—the motion of celestial bodies, for example, or the physical and chemical properties of a material—or man-made: for example, the stock market or the voting preferences of an electorate.¹ In principle, mathematical models can be used to study even extremely complicated systems with many interacting components. However, in practice, only simple systems (ones that involve only two or three interacting agents) can be solved precisely. For instance, the mathematical derivation of the spectral lines of hydrogen, with its single electron orbiting the |
Author | Terence Tao |
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Copyright | 2014 Princeton University Press 2015 Princeton University Press, Princeton |
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Snippet | Modern mathematics is a powerful tool to model any number of real-world situations, whether they be natural—the motion of celestial bodies, for example, or the... |
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SubjectTerms | Applied mathematics Central limit theorem Concept of being Counting numbers Discrete mathematics Election forecasting Formal logic Integers Lattice theory Law of large numbers Line spectra Logic Logical topics Mathematical analysis Mathematical lattices Mathematical logic Mathematical models Mathematical set theory MATHEMATICS Metaphysics Microphysics Molecular physics Molecular properties Molecular spectra Number theory Numbers Ontological properties Ontology Philosophy Physical sciences Physics Political elections Political processes Political science Politics Polls Popular science Prime numbers Pure mathematics Rational numbers Real numbers Statistical theories Statistics Universality |
Subtitle | From Complexity, Universality |
Title | E pluribus unum |
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