周一分享(5):Maple软件介绍

Maple软件介绍

Maple software introduction

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周一分享(5):Maple软件介绍.mp33:49来自LearningYard学苑

Maple基本介绍

Basic introduction to Maple

Maple 是一个数学软件,透过智能文件界面提供最强大的数学引擎,可以轻松分析、探索、可视化和求解数学问题。

Maple is a math software that provides the most powerful math engine with a smart file interface to easily analyze, explore, visualize and solve math problems.

Maple的一些功能

Some features of Maple

  • 轻松准确地求解数学问题
  • 解决几乎所有数学领域或者依赖于数学的相关领域的问题,内置超过6,000个计算命令,100多个算法函数包
  • 可以在单一文件中组合计算、文字、图形、视频、声音、和模型等
  • 易学易用的编程语言
  • 创建交互式应用程序
  • Solve math problems easily and accurately
  • Solve problems in almost all mathematical fields or related fields that depend on mathematics, with more than 6,000 built-in calculation commands and more than 100 algorithm function packages
  • Computation, text, graphics, video, sound, and models can be combined in a single file
  • Easy to learn and easy to use programming language
  • Create interactive applications
  • Maple基本知识

    Basic knowledge of Maple

    1.常规运算

    Normal Operation

  • [>是 Maple 自动显示的命令行提示符,无需我们手工输入。如要显示输出结果,运算表达式后加“;”;如不要显示输出结果,运算表达式后加“:”。
  • l如果要删除单个文字,可以使用“Del”键;如果需要删除整行,可以使用 Ctrl+Del 组合键,Maple 的这一“超级删除”功能键可用于复杂对象的整行删除操作。
  • 当输入的数学表达式较长时,为了在窗口中看到整个数学表达式,可将光标停在任一运算符后面按 Shift+Enter 组合键,便可使数学表达式换行。
  • 如要同时计算几个数学表达式,方法有二。其一是每个数学表达式后面加“;”,然后按回车键或点击工具栏上的执行按钮。其二是分别输入数学表达式点击工具栏上的按钮 ,Maple 将执行文件中的所有运算。
  • [> is the command line prompt that Maple automatically displays without our manual input. If you want to display the output result, add “;” after the operation expression; if you don’t want to display the output result, add “:” after the operation expression.
  • l If you want to delete a single text, you can use the “Del” key; if you need to delete the entire line, you can use the Ctrl+Del key combination, Maple’s “super delete” function key can be used to delete the entire line of complex objects.
  • When the inputted mathematical expression is long, in order to see the entire mathematical expression in the window, you can stop the cursor after any operator and press the Shift+Enter key combination to make the mathematical expression wrap.
  • To calculate several mathematical expressions at the same time, there are two methods. One is to add “;” after each mathematical expression, then press Enter or click the Execute button on the toolbar. The second is to enter the mathematical expression and click the button on the toolbar, Maple will perform all the operations in the file.
  • 2.求值

    Evaluate

  • Eval – 对一个表达式求值
  • eval – 求值
  • evala – 在代数数(或者函数)域求值
  • evalb – 按照一个布尔表达式求值
  • evalc – 在复数域上符 求值
  • evalf – 使用浮点算法求值
  • evalhf – 用硬件浮点数算法对表达式求值
  • evalm – 对矩阵表达式求值
  • evaln – 求值到一个名称
  • evalr, shake – 用区间算法求表达式的值和计算范围
  • evalrC – 用复数区间算法对表达式求值
  • value – 求值的惰性函数
  • Eval – evaluate an expression
  • eval – evaluate
  • evala – Evaluate the field of algebraic numbers (or functions)
  • evalb – evaluates a boolean expression
  • evalc – Symbolically evaluates the complex field
  • evalf – Evaluate using floating point arithmetic
  • evalhf – Evaluate expressions with hardware floating point arithmetic
  • evalm- Evaluate a matrix expression
  • evaln – evaluates to a name
  • evalr, shake – Evaluate expressions and evaluate ranges using interval arithmetic
  • evalrC – Evaluate expressions with complex interval arithmetic
  • value – the lazy function to evaluate
  • 3.数值解

    Numerical Solution

  • fsolve – 利用浮点数算法求解
  • solve/floats – 包含浮点数的表达式
  • fsolve – solve using floating point arithmetic
  • solve/floats – expressions containing floating point numbers
  • 4.最优化

    Optimization

  • extrema – 寻找一个表达式的相对极值
  • minimize, maximize – 计算最小值/最大值
  • maxnorm – 一个多项式无穷大范数
  • extrema – find the relative extrema of an expression
  • minimize, maximize – compute min/max
  • maxnorm – a polynomial infinity norm
  • 5.求根

    Root

  • allvalues -计算含有RootOfs的表达式的所有可能值
  • isqrt, iroot – 整数的平方根/第n 次根
  • realroot – 一个多项式的实数根的隔离区间
  • root – 一个代数表达式的第n 阶根
  • RootOf – 方程根的表示
  • surd – 非主根函数
  • roots – 一个多项式对一个变量的精确根
  • turm, sturmseq – 多项式在区间上的实数根数和实根序列
  • allvalues – evaluates all possible values of an expression containing RootOfs
  • isqrt, iroot – square root/nth root of integer
  • realroot – the isolated interval of the real roots of a polynomial
  • root – the nth order root of an algebraic expression
  • RootOf — Representation of the root of the equation
  • surd — Non-primary root function
  • roots – the exact roots of a polynomial with respect to a variable
  • turm, sturmseq — Real roots and sequence of real roots of polynomials over intervals
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    参考资料:谷歌翻译、百度

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