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Building upon 18th- and 19th-century mathematical studies of the voting process, Scottish economist Duncan Black brought a political dimension to cost-benefit studies.
There is much literature on mathematical studies of the Navier-Stokes equations with density-dependent viscosities.
Although networks of spatially-extended neural cells can be numerically simulated, there are currently few mathematical studies of such networks.
The above mean-reversion type SDE (with (varepsilon=1)) was used widely in modeling price dynamics in mathematical studies of finance and economics.
This is in part due to the new experimental insights into functional connectivity among cortical neurons [3 8], and in part due to the focus on many previous mathematical studies of neural networks on the mean-field approximation.
So Glaucon or anyone else tempted to avoid the mathematical studies of Book Seven might think that the superiority of the philosopher's psychological justice is slight, and given the disrepute heaped on the philosophers (487a ff)., Glaucon or anyone else might decide that the less-than-perfectly just life is better overall.
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The remarkable fact that virtually all of mathematics can be formalized within ZFC, makes possible a mathematical study of mathematics itself.
This makes metamathematics possible, namely the mathematical study of mathematics itself.
These sections are interleaved with short lessons in group theory, the mathematical study of symmetry.
Villani also found applications for the mathematical study of entropy in differential geometry and in transport theory.
Robert J Aumann, of the Hebrew University of Jerusalem, and Thomas C Schelling, of the University of Maryland, used game theory, the mathematical study of strategies for dealing with competitive situations, to study wars, wage negotiations, organised crime, and international trade agreements.
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