摘要: | 中文摘要 一般微電腦所能作的有理數運算大都為浮點式的近似值運算,能以有理分數的形式來表現的並不多見。本文針對有理分數的四則運算、有理係數多項式的四則運算、求方程式的有理根、多項級數的求和、部分分式、二次曲線的標準化…等,在IQLISP系統下,設計了一個能以有理分數之形式表示根或係數的符號運算套裝程式,可作為中小學生解題及計算的工具。
Abstract Algebraic operations in traditional programing language or typical scientific subrouting libraies written for them generally can not perform true algebraic operations. The arithmetic performed on numeric values is generally not high precision, exact rational arithmetic. A simple symbolic mathematic package was developed for the rational arithmetic. It can evaluate and simplify expressions containing variables that have not been assigned numeric values. Students can use these package to add, substract, multiply, divide fractions, simplify polynomials, solve equation to get rational solutions, expand partial fractions, find sum of polynomial series, reduce conic equation to standard form by rotation and translotion...etc. This package can be used as a tool to colculate for problem solving. |