数学公式的线性输入方法研究

LINEAR INPUT METHODS FOR MATHEMATICAL FORMULA

在计算机中输入数学公式方法中,线性方法是一种较为常见、效率较高的方法.文章在研究现有六种数学公式线性输入方法基础上,针对教育教学规律、初等数学特点以及学生教师的输入习惯,从数字、希腊字母、运算符、常用函数四个方面制定了一个数学公式扩展中缀语言MEIL.为了验证文章所提语法的合理性与适用性,文章对现有的六种数学公式中缀格式的语法及MEIL语法进行了实验比较,七种格式下MEIL输入20个数学公式所需字符数最少,实验中Maxima和MEIL语法下输入该20个数学公式的错误率较低,实验证明MEIL具有输入高效、符合用户习惯、使用方便灵活等特点.

In all methods of mathematical expressions input on computer, linear input methods have more users for its high input efficient. The 6 existed linear input methods for mathematical formula are analyzed on digitals, Greek alphabets, operators, functions in the paper. A new linear input method, mathematical extended infix language （MEIL）, is designed for users especially for students and teachers who are learning and teaching elementary mathematics. The paper also introduces an ex- periment for comparing 6 existed linear input methods and MEIL. In seven methods, MEIL requires the least number of characters for inputting 20 similar mathematical formula. Furthermore the error rates of Maxima and MEIL are lower than other 5 methods in the experiment. As shown in the experiment results, MEIL is an efficient, convenient and flexible linear input method for expressions of elementary mathematics.