在FORMAC中自动简化

R. Tobey, R. Bobrow, S. Zilles
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引用次数: 27

摘要

简化是数学表达式操作的核心和基本操作。事实上,许多困扰科学家和工程师的冗长代数问题都涉及到将转换简化为笨拙的数学表达式的耗时应用。从概念上讲,似乎很明显,一些简化的转换可以“自动”应用于任意表达式。然而,有些转换需要特殊处理;它们简化了一些表达,使另一些表达复杂化。
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Automatic simplification in FORMAC
Simplification is a central and basic operation in the manipulation of mathematical expressions. Indeed, much of the tedious algebra that plagues scientists and engineers involves the time-consuming application of simplifying transformations to unwieldly mathematical expressions. It seems obvious, conceptually, that some simplifying transformations can be applied "automatically" to arbitrary expressions. However, there are transformations that require special handling; they simplify some expressions and complicate others.
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