Lambert-W关系的初步处理

Q4 Social Sciences
M. Moore
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引用次数: 0

摘要

摘要在这场讨论中,我们介绍了Lambert-W关系,如何求解通过该关系可解而不可解的方程,讨论了如何数值计算值,如何生成具有足够负或复杂自变量的W的实部和虚部。然后,我们简要地了解了流体力学中使用的Lambert-W关系的一个物理应用。尽管对于那些探索数学的人来说,可以在代数工具箱中引入几个新函数,但我们已经证明,Lambert-W关系可以很容易地适应小学数学学生的工具箱。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An Elementary Treatment of the Lambert-W Relation
Summary In this discussion, we introduced the Lambert-W relation, how to solve equations that are solvable via this relation and not solvable otherwise, discussed how to numerically calculate values, how to generate the real and imaginary parts of W for which have sufficiently negative or complex arguments. We then gave a brief insight into one of the physical applications of the Lambert-W relation that is used in fluid mechanics. Although one could introduce several new functions into the algebraic toolbox for those exploring mathematics, we have demonstrated that the Lambert-W relation is one that can easily be adapted into the toolbox of elementary-level mathematics students.
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来源期刊
College Mathematics Journal
College Mathematics Journal Social Sciences-Education
CiteScore
0.20
自引率
0.00%
发文量
52
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