Asymptotics and the role of minimal models

Asymptotics and the role of minimal models
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DOI:
10.1093/bjps/53.1.21
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发表时间:
2002-03-01
影响因子:
3.4
通讯作者:
Batterman, RW
Batterman, RW
中科院分区:
人文科学1区
文献类型:
--
作者:
Batterman, RW

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数学建模的传统观点认为,粗略地说,模型中表示的现象的细节越多,模型就越好。本文认为,这种“细节更好”的方法往往是错误的。在某些情况下,人们应该寻找一个完全可解的最小模型,这个模型本质上是对所讨论现象的物理学的讽刺。
A traditional view of mathematical modeling holds, roughly, that the more details of the phenomenon being modeled that are represented in the model, the better the model is. This paper argues that often times this 'details is better' approach is misguided. One ought, in certain circumstances, to search for an exactly solvable minimal model-one which is, essentially, a caricature of the physics of the phenomenon in question.