Iterating with Fuzzy Parameters to Produce Exact Results

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2020-11-02 DOI:10.4236/am.2020.1111072

E. Klingman

引用次数: 0

Abstract

Iteration problems such as compound interest calculations have well-specified parameters and aim to derive an exact value. Not all problems offer well-specified parameters, even for well-defined dynamic equations; the linear “weak field approximation” of general relativity is iteratively equivalent to Einstein’s non-linear field equation, but the exact parameters involved in some applications are unknown. This paper develops a theory based on “fuzzy” parameters that must produce exact results. The problem is analyzed and example calculations are produced.

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用模糊参数迭代产生精确结果

诸如复利计算之类的迭代问题具有明确规定的参数，其目的是推导出精确的值。并不是所有的问题都有明确的参数，即使是定义良好的动力学方程;广义相对论的线性“弱场近似”迭代地等价于爱因斯坦的非线性场方程，但在某些应用中涉及的确切参数是未知的。本文提出了一种基于必须产生精确结果的“模糊”参数的理论。对问题进行了分析，并给出了算例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.