周一分享（3）：Mathematica软件介绍

Mathematica软件介绍

Introduction to Mathematica Software

分享兴趣，传播快乐，增长见闻，留下美好。

亲爱的您，

这里是LearingYard学苑！

今天小编为大家带来Mathematica软件介绍，

欢迎您的用心访问！

本期推文阅读时长大约5分钟，请您耐心阅读。

Share interest, spread happiness,

increase knowledge, and leave beautiful.

Dear you ,

this is the LearingYard Academy!

Today, the editor brings you introduction to Mathematica Software,

welcome your visit!

This tweet usually takes about 5 minutes to read.

Please be patient and read.

周一分享（3）：Mathematica软件介绍.mp33:44来自LearningYard学苑

一

Mathematica基本介绍

Basic introduction to Mathematica

Mathematica是一款科学计算软件，很好地结合了数值和符计算引擎、图形系统、编程语言、文本系统、和与其他应用程序的高级连接。

Mathematica is a scientific computing software that nicely combines numerical and symbolic computing engines, graphics systems, programming languages, text systems, and advanced connectivity to other applications.

二

Mathematica的一些功能

some functions of Mathematica

使用一行代码可显示的图形

矩阵和数据操纵工具，包括对稀疏矩阵的处理

2维和3维数据以及函数的可视化和动画工具

求解方程组、常微分方程、偏微分方程、微分代数方程、时滞微分方程、递推关系式等等

离散和连续微积分的数值和符工具

多变量统计程序库，包括支持100多种数据分布的数据拟合、假设检验、概率和期望的运算

程序语言支持：过程式编程语言、函数式编程语言和面向对象的编程语言

图像处理工具，包括图像识别

提供用于图论中图的分析和可视化的工具

Graphics that can be displayed with one line of code

Matrix and data manipulation tools, including handling of sparse matrices

Visualization and animation tools for 2D and 3D data and functions

Solve equations, ordinary differential equations, partial differential equations, differential algebraic equations, delay differential equations, recurrence relations, etc.

Numerical and symbolic tools for discrete and continuous calculus

Multivariate statistical library, including data fitting, hypothesis testing, probability and expectation operations supporting more than 100 data distributions

Program language support: procedural programming languages, functional programming languages, and object-oriented programming languages

Image processing tools, including image recognition

Provide tools for analysis and visualization of graphs in graph theory

三

Mathematica基本知识

Basic knowledge of Mathematica

四个处理指令

Four processing instructions

Expand[expr]：将expr展开

Factor[expr]：将expr因式分解

Simplify[expr]：将expr化简成精简的式子

FullSimplify[expr]：Mathematica 会尝试更多的化简公式，将 expr化成更精简的式子

Expand[expr]：expands expr

Factor[expr]：factorize expr

Simplify[expr]：simplify expr into a simplified expression

FullSimplify[expr]：Mathematica will try more simplification formulas, reducing expr into a more simplified formula

多项式转换

Polynomial transformation

ExpandAll[expr]：把算式全部展开

Together[expr]：将expr各项通分在并成一项

Apart[expr]：把分式拆开成数项分式的和

Apart[expr,var]：视var以外的变数为常数，将 expr拆成数项的和

Cancel[expr]：把分子和分母共同的因子消去

ExpandAll[expr]：expands all expressions

Together[expr]：combine all items of expr into one item

Apart[expr]：splits a fraction into a sum of fractions

Apart[expr,var]：treats variables other than var as constants, and splits expr into the sum of its terms

Cancel[expr]：removes the factors common to the numerator and denominator

转换函数

Conversion function

Collect[expr,x]：将expr表示成x的多项式，

如Collect[expr,{x,y,…}]：将expr分别表示成 x,y,…的多项式

FactorTerms[expr]：将expr的数值因子提出，

如 FactorTerms[expr,x]：将expr中把所有不包含x项的因子提出

FactorTerms[expr,{x,y,…}]：将expr中把所有不包含{x,y,…}项的因子提出

Collect[expr,x]：represents expr as a polynomial of x,

For example, Collect[expr,{x,y,…}] expresses expr as polynomials of x, y,…

FactorTerms[expr]：extracts the numerical factors of expr,

For example, FactorTerms[expr,x] will extract all factors in expr that do not contain x terms

FactorTerms[expr,{x,y,…}]：extract all factors in expr that do not contain {x,y,…} terms

四种括

Four kinds of brackets

(term) 圆括，括内的term先计算

f[x] 方括，内放函数的引数

{x,y,z} 大括或串列括，内放串列的元素

p[[i ]] 或 Part[p,i] 双方括，p的第i项元素

p[[i,j]] 或 Part[p,i,j] p的第i项第j个元素

(term) parentheses, the term in the parentheses is calculated first

f[x] square brackets, the arguments of the function are placed inside

{x,y,z} curly brackets or list brackets, enclosing the elements of the list

p[[i ]] or Part[p,i] square brackets, i-th element of p

p[[i,j]] or Part[p,i,j] i-th item j-th element of p

缩短输出指令

Shorten output instructions

expr//Short：显示一行的计算结果

Short[expr,n]：显示n行的计算结果

Command;：执行command，但不列出结果

expr//Short：display the calculation result of a line

Short[expr,n]：displays the calculation result of n lines

Command;：execute command without listing results

今天的分享就到这里了。

如果您对今天的文章有独特的想法，

欢迎给我们留言，

让我们相约明天。

祝您今天过得开心快乐！

That’s it for today’s sharing.

If you have a unique idea about today’s article,

welcome to leave us a message,

let us meet tomorrow.

I wish you a happy day today!

参考资料：谷歌翻译、百度、CSDN

文字|Zheng

排版|Zheng

声明：本站部分文章及图片源自用户投稿，如本站任何资料有侵权请您尽早请联系jinwei@zod.com.cn进行处理,非常感谢！

周一分享（3）：Mathematica软件介绍

相关推荐