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📄 第一节 mathematica快速入门.htm

📁 Mathematica软件包的介绍
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<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                  
style="mso-spacerun: yes"><font size="4" face="楷体_GB2312">&nbsp;&nbsp; </font> </SPAN><font size="4" face="楷体_GB2312">Quotient[n,m]<SPAN                 
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;                
</SPAN>n/m的整数部分<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                  
style="mso-spacerun: yes"><font size="4" face="楷体_GB2312">&nbsp;&nbsp; </font> </SPAN><font size="4" face="楷体_GB2312">Mod[n,m]<SPAN                 
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;                
</SPAN>n/m的余数<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                  
style="mso-spacerun: yes"><font size="4" face="楷体_GB2312">&nbsp;&nbsp; </font> </SPAN><font size="4" face="楷体_GB2312">Random[]<SPAN                  
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;                 
</SPAN>0,1间随机数<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%; margin-left: 12.05pt"><SPAN                  
lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><font size="4" face="楷体_GB2312">Max[x,y,...],Min[x,y,...]<SPAN                
style="mso-spacerun: yes">&nbsp;&nbsp; </SPAN>最大数和最小数<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%; margin-left: 12.05pt"><SPAN                  
lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><font size="4" face="楷体_GB2312">Sin[x],                  
Cos[x], Tan[x],Cot[x], Sec[x],Csc[x],ArcSin[x],ArcCos[x],ArcTan[x],                  
ArcCot[x],ArcSec[x] ArcCsc[x]三角函数<O:P> &nbsp;</font></b></SPAN></P>                 
<P align=left class=MsoNormal                 
style="text-indent: 17.95pt; line-height: 200%; margin-left: 12.05pt"><span style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt" lang="EN-US"><b style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><font size="4" face="楷体_GB2312">Sinh<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;       
</span>Cosh<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;       
</span>Tanh<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;       
</span>Coth<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;       
</span>Sech<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;       
</span>Csch         
ArcSinh<span style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;        
</span>ArcCosh<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;        
</span>ArcTanh<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;        
</span>ArcCoth<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;        
</span>ArcSech<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">&nbsp;        
</span>ArcCsch </font></b><font size="4" face="楷体_GB2312"><b style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">双曲函数</b></font></span></P>                
<p class="MsoNormal" style="text-indent:21.0pt"><b><font face="宋体" size="4" color="#FF0000">对上述函数的函数名的书写有一些统一的规定:</font></b></p> 
<p class="MsoNormal" style="margin-left:36.75pt;text-indent:-15.75pt;mso-list: 
l15 level1 lfo10;tab-stops:list 36.75pt"><span lang="EN-US"><b><font size="4"><font face="宋体">(1)</font></font></b></span><font face="宋体"><b><font size="4"><span style="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;mso-hansi-font-family: 
&quot;Times New Roman&quot;"><font color="#FF0000">首字母必须大写</font>,如果函数名由几段组成,则每一段的首字母也必须大写,如:</span><span lang="EN-US">ArcSin</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">等。</span></font></b></font></p> 
<p class="MsoNormal" style="margin-left:36.75pt;text-indent:-15.75pt;mso-list: 
l15 level1 lfo10;tab-stops:list 36.75pt"><span lang="EN-US"><b><font size="4"><font face="宋体">(2)</font></font></b></span><font face="宋体"><b><font size="4"><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman"><font color="#FF0000">函数名字是一个字符串,中间不能有空格</font>。</span></font></b></font></p> 
<p class="MsoNormal" style="margin-left:36.75pt;text-indent:-15.75pt;mso-list: 
l15 level1 lfo10;tab-stops:list 36.75pt"><span lang="EN-US"><b><font size="4"><font face="宋体">(3)</font></font></b></span><font face="宋体"><b><font size="4"><span style="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;mso-hansi-font-family: 
&quot;Times New Roman&quot;"><font color="#FF0000">函数的参数用方括号括起来</font>,不能用圆括号。这是为了避免歧义性。实际上,在一般数学里括号的使用是有歧义的如:我们认为</span><span lang="EN-US">a(x+y)</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">表示</span><span lang="EN-US">a</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">乘以</span><span lang="EN-US">x+y</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">,而</span><span lang="EN-US">sin(x+y)</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">表示函数</span><span lang="EN-US">sin</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">作用到表达式</span><span lang="EN-US">x+y</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">上,那么</span><span lang="EN-US">f(x+y)</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">表示什么呢?</span></font></b></font></p> 
<p class="MsoNormal" style="margin-left:36.75pt;text-indent:-15.75pt;mso-list: 
l15 level1 lfo10;tab-stops:list 36.75pt"><span lang="EN-US"><b><font size="4"><font face="宋体">(4)</font></font></b></span><font face="宋体"><b><font size="4"><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">有多个参数的函数,参数间用逗号隔开,如:</span></font></b></font></p> 
<p class="MsoNormal" style="margin-left:36.75pt"><span lang="EN-US"><b><font face="宋体" size="4">Log[2,3.256]</font></b></span></p> 
<P align=left class=MsoNormal              
style="text-indent: 17.95pt; line-height: 200%; margin-left: 12.05pt"><SPAN              
lang=EN-US              
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"> <b><font size="4" face="楷体_GB2312"> </O:P></font></b></SPAN></P>             
<P align=left class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US              
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><font size="4" face="楷体_GB2312"><font color="#FF0000">3.                   
常数<O:P>  </font> </O:P></font></b></SPAN></P>                 
<P align=left class=MsoNormal                 
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                 
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                 
style="mso-spacerun: yes"><font size="4" face="楷体_GB2312">&nbsp;&nbsp; </font> </SPAN><font size="4" face="楷体_GB2312">Pi<SPAN                  
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;                 
</SPAN>Pi=3.141592653589793...<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                  
style="mso-spacerun: yes"><font size="4" face="楷体_GB2312">&nbsp;&nbsp; </font> </SPAN><font size="4" face="楷体_GB2312">E<SPAN                  
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;                 
</SPAN>e=2.71828...<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                  
style="mso-spacerun: yes"><font size="4" face="楷体_GB2312">&nbsp;&nbsp; </font> </SPAN><font size="4" face="楷体_GB2312">Degree<SPAN                  
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;                 
&nbsp;&nbsp;&nbsp;&nbsp;</SPAN>Pi/180<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                  
style="mso-spacerun: yes"><font size="4" face="楷体_GB2312">&nbsp;&nbsp; </font> </SPAN><font size="4" face="楷体_GB2312">I<SPAN                  
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;                 
</SPAN>i=Sqrt[-1]<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                  
style="mso-spacerun: yes"><font size="4" face="楷体_GB2312">&nbsp;&nbsp; </font> </SPAN><font size="4" face="楷体_GB2312">Infinity<SPAN                  
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</SPAN></font><SPAN                 
style="mso-spacerun: yes"><font size="4" face="宋体">&nbsp;&nbsp; </font></SPAN><font size="4" face="宋体">无穷大<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt"><b><SPAN                  
style="mso-spacerun: yes"><font face="宋体"><font size="4">&nbsp;&nbsp; </font> </font> </SPAN><font size="4" face="宋体">DirectedInfinity<SPAN                  
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </SPAN>有向的无穷<O:P>                 
</O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal style="line-height: 200%"><b><font size="4" face="宋体">例:求表达式<IMG src="images/1.htm2.gif" width="149" height="45">        
的值<O:P>  </font><font size="4" face="楷体_GB2312"> </O:P></font></b></P>                 
<P class=MsoNormal style="text-indent: 20.5pt; line-height: 200%"><SPAN lang=EN-US                  
style="mso-bidi-font-size: 10.0pt"><b><font size="4" face="楷体_GB2312">In[1]:=-3^2*((4/7 + 2)*5 -                   
8)^(1/4)<O:P> </O:P></font></b></SPAN></P>                  
<P align=left class=MsoNormal                  
style="text-indent: 17.95pt; line-height: 200%"><b><SPAN lang=EN-US><font size="4" face="楷体_GB2312">Out[1]=<SPAN style="mso-text-raise: -12.0pt"><!--[if gte vml 1]><V:SHAPE id=_x0000_i1027                 
style="HEIGHT: 30.75pt; WIDTH: 51.75pt" type="#_x0000_t75" o:ole="">                 
<V:IMAGEDATA o:title=""                 
src="file:///C:/WINDOWS/TEMP/msoclip1/01/clip_image005.wmz"></V:SHAPE><![endif]--><IMG src="images/1.htm3.gif"                 
v:shapes="_x0000_i1027" width="69" height="41"></SPAN><!--[if gte mso 9]><xml>                
 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1027"                
  DrawAspect="Content" ObjectID="_1048958857">                
 </o:OLEObject>                
</xml><![endif]-->                 
 </font>                 
</SPAN><font size="4" face="楷体_GB2312"><SPAN lang=EN-US                 
style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'"><O:P></O:P></SPAN></font></b></P>                
<P align=left class=MsoNormal                 
style="text-indent: 17.95pt; line-height: 200%"><b><SPAN lang=EN-US                 
style="mso-font-kerning: 0pt"><font size="4" face="楷体_GB2312">In[2]:=</font></SPAN><font size="4" face="楷体_GB2312"><SPAN lang=EN-US                 

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