On Meaningful Scientific Laws
On Meaningful Scientific Laws
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论有意义的科学定律
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Christopher W. Doble
中科院分区：
文献类型：
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作者：
J. Falmagne;Christopher W. Doble
作者描述了基于直觉或格丹肯实验先验揭示科学定律的系统方法。按照惯例，科学定律的数学表达式受到以下规则的约束：它们的形式必须不随变量单位的变化而变化。这种限制使得缩小法律的可能形式成为可能。它与维度分析密切相关，但又有不同。这是一本数学书，主要基于求解函数方程。事实上，有一章是对函数方程理论的介绍。
The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or Gedanken Experiments. Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be invariant with changes of the units of their variables. This constraint makes it possible to narrow down the possible forms of the laws. It is closely related to, but different from, dimensional analysis. It is a mathematical book, largely based on solving functional equations. In fact, one chapter is an introduction to the theory of functional equations.