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📄 多元非线性回归分析 函数模型的表达式说明.htm

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style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>系统定义的常数:<span
style="mso-spacerun: yes">&nbsp; </span>圆周率
PI=3.1415926535897932384626433832795<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>自然数<span style="mso-spacerun: yes">&nbsp;
</span>e=2.7182818284590452353602874713527<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>(允许重新赋值)<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>3.使用多重括号并不会降低速度,特别是在不容易分清楚计算优先级的时候,请多使用括号;<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>4.表达式中函数名和参数名等不区分大小写;<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>5.系统使用的标识符除去下面列出的函数名(包括别名)外还有
:<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>'Const_SYS_N' 、'Const_ff_SYS_x_N'和
'ff_SYS_N' ,自定义的参数名称请不要再次使用它们;<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>如果参数名称为 'PI' 和
'e'<span style="mso-spacerun: yes">&nbsp; </span>,那默认值见上面,但这只是它的默认值,程序中可以重新赋值;<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>6.支持的函数:<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>(这里的实数域为:<span
style="mso-spacerun: yes">&nbsp; </span>R' , R' 为 (-1.1E+4932,-3.6E-4951) and [
0 ] and (+3.6E-4951,+1.1E+4932) . )<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>(当实数属于(+-3.6E-4951,0) 时认为实数等于0)<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>(没有特别说明的变量取值范围为实数域 R')<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>(函数计算的结果也不能超出实数域 R')<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span>算符(函数)名称<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>书写格式和变量取值范围<span
style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>例子<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>+<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>加法<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>x+y<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span>或者:
Add(x,y)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>3.5+5=8.5<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>-<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>减法<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>x-y<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span>或者:
Sub(x,y)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>8-3=5<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>*<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>乘法<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>x*y<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span>或者:
Mul(x,y)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>2*3=6<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>/<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>除法<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>x/y<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span>或者:
Div(x,y)<span style="mso-spacerun: yes">&nbsp;&nbsp; </span>; y&lt;&gt;0<span
style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>3/2=1.5<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span></span><span lang=EN-US
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt'>\<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>整除</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>x\y<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>或者</span><span style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'>:<span lang=EN-US> DivE(x,y)<span
style="mso-spacerun: yes">&nbsp; </span>; y&lt;&gt;0<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>25\10=2<o:p></o:p></span></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp; </span>Mod<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:
ZH-CN'>求余</span><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>x mod y<span
style="mso-spacerun: yes">&nbsp;&nbsp; </span></span><span style='font-size:
9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:
ZH-CN'>或者</span><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt'>:<span lang=EN-US> Mod(x,y) ;
y&lt;&gt;0<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;

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