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今天小编为大家介绍Maple软件,
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Today, the editor will introduce Maple software to you,
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小源笔记(四):Maple软件介绍.mp34:37来自LearningYard学苑
1
Maple是什么?
What is Maple?
Maple是目前世界上最为通用的数学和工程计算软件之一,在数学和科学领域享有盛誉,有“数学家的软件”之称。Maple 在全球拥有数百万用户,被广泛地应用于科学、工程和教育等领域,用户渗透超过96%的世界主要高校和研究所,超过81%的世界财富五百强企业。
Maple is currently one of the most versatile mathematical and engineering computing software in the world. Maple has millions of users around the world and is widely used in fields such as science, engineering and education. Its users penetrate more than 96% of the world’s major universities and research institutes, and more than 81% of the world’s Fortune 500 companies.
2
Maple能做什么?
What can Maple do?
Maple系统内置高级技术解决建模和仿真中的数学问题,包括世界上最强大的符 计算、无限精度数值计算、创新的互联 连接、强大的4GL语言等,内置超过5000个计算命令,数学和分析功能覆盖几乎所有的数学分支,如微积分、微分方程、特殊函数、线性代数、图像声音处理、统计、动力系统等。如此多功能复杂的软件操作起来十分简便。
Maple采用字符行输入方式,输入时需要按照规定的格式输入,虽然与一般常见的数学格式不同,但灵活方便,也很容易理解。输出则可以选择字符方式和图形方式,产生的图形结果可以很方便地剪贴到Windows应用程序内。
The Maple system has built-in advanced technology to solve mathematical problems in modeling and simulation, including the world’s most powerful symbolic calculation, infinite precision numerical calculation, innovative Internet connection, powerful 4GL language, etc., built-in more than 5000 calculation commands, mathematical and Analysis functions cover almost all branches of mathematics, such as calculus, differential equations, special functions, linear algebra, image and sound processing, statistics, dynamical systems, etc. Such a multi-functional and complex software is very easy to operate.
Maple uses the character line input method, and the input needs to be input according to the specified format. Although it is different from the common mathematical format, it is flexible, convenient and easy to understand. The output can be selected in character mode and graphic mode, and the generated graphic results can be easily cut and cut into Windows applications.
3
Maple的优缺点
Advantages and disadvantages of Maple
优点
advantage
○符 计算非常强大,和Mathematica相比各有千秋。
○Maple语法规则太灵活,入门快,但是要成为高手就有点玄乎,单从语法上说Mathematica更易精通。
○一些符 积分Maple也有速度优势(特别是不定积分),但有时返回的结果没有Mathematica给出的更严谨、鲁棒性好,能算的积分类型没有Mathematica多。
○Maple的“适应性”更好,有的问题Mathematica需要一定的预处理才能算的更快,得出满意的结果。
○Maple更擅长(偏)微分方程,(其实Maple和Mathematica都能解一些对方解不了的一些特殊微分方程)。
○可以带步骤求解一些问题,Mathematica需要第三方的Package或借助WolframAlpha。
○上手较快,一些常见的操作无需命令,通过右键菜单就能完成。
○ Symbolic computing is very powerful and has its own advantages and disadvantages compared to Mathematica.
○Maple grammar rules are too flexible and easy to get started, but it is a bit mysterious to become a master. Mathematica is easier to master in terms of grammar.
○Some symbolic integrals Maple also has speed advantages (especially indefinite integrals), but sometimes the returned results are not more rigorous and robust than those given by Mathematica, and the types of integrals that can be calculated are not as many as Mathematica.
○Maple’s “adaptability” is better. For some problems, Mathematica needs certain preprocessing to calculate faster and obtain satisfactory results.
○Maple is better at (partial) differential equations (in fact, both Maple and Mathematica can solve some special differential equations that the other cannot solve).
○ You can solve some problems with steps. Mathematica requires a third-party Package or WolframAlpha.
○It is quick to get started, and some common operations can be completed through the right-click menu without commands.
缺点
shortcoming
◎界面使用会出现卡顿现象(基于Java swing),经典界面流畅但是直观感受很土。
◎从帮助文档(Help)上说,Maple的帮助文档不算太规范。
◎化简能力、不等式求解以及逻辑系统较Mathematica逊色一些。
◎数值计算总体上比Matlab和Mathematica差一些。
◎高精度和大数计算方面强于Matlab弱于Mathematica。
◎统计方面有些薄弱。
◎The interface will be stuck (based on Java swing). The classic interface is smooth but intuitive.
◎From the help document (Help), Maple’s help document is not too standardized.
◎Simplification ability, inequality solving and logic system are inferior to Mathematica.
◎Numerical calculation is generally worse than Matlab and Mathematica.
◎In terms of high precision and large number calculation, it is stronger than Matlab and weaker than Mathematica.
◎The statistics are somewhat weak.
在可视化编程方面,Maple有很大的进步,其进行智能判断后,可以很大程度的推测了你的意图。而Matlab甚至可以根据你的鼠标操作生成代码。在易用性上,Maple与其他三大软件的差距在逐步缩小。
In terms of visual programming, Maple has made great progress. After making intelligent judgments, it can infer your intentions to a large extent. And Matlab can even generate code based on your mouse actions. In terms of ease of use, the gap between Maple and the other three major software is gradually narrowing.
4
Maple的基本功能
Basic functions of Maple
1、操作界面
1. Operation interface
2、科学计算
2. Scientific Computing
快速积分,可以选择参数设置,也可编写相关函数。
For fast integration, parameter settings can be selected, and related functions can also be written.
3、快速操作框
3. Quick Action Box
选中自己编写的方程式可以在右侧进行快速操作,例如求解、绘图、快速帮助等等,都是一键点击。
Select the equation you wrote to perform quick operations on the right side, such as solving, drawing, quick help, etc., all with one click.
4、图形绘制导出
4. Graphic drawing export
选中自己编写的方程式,可以在右侧快速操作框中直接点击图像生成图形,也可以直接选择快速操作框中的图片生成器,在里面继续选择不同的属性从而得到你想要的图形。
Select the equation written by yourself, you can directly click the image in the quick action box on the right to generate the graph, or you can directly select the picture generator in the quick action box, and continue to select different properties in it to get the graph you want.
5、基本运算命令
5. Basic operation commands
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