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<p>The practices of researchers in many fields who use qualitative reasoning are summarized and explained. The goal is to gain an understanding of the formal assumptions and mechanisms that underlie this kind of analysis. The explanations given are based on standard mathematical formalisms, particularly on ordinal properties, continuous differentiable functions, and the mathematics of nonlinear dynamic systems.</p>
Jayant Kalagnanam, Herbert A. Simon, Yumi Iwasaki, "The Mathematical Bases for Qualitative Reasoning", IEEE Intelligent Systems, vol. 6, no. , pp. 11-19, April 1991, doi:10.1109/64.79703
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