📄 多元非线性回归分析 函数模型的表达式说明.htm
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<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'><![if !supportEmptyParas]> <![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 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"> </span>ff<span style="mso-spacerun:
yes"> </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'>定积分函数</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"> </span>ff(a,b,x,g(x)) </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 lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'>: ff(a,b,x,N,g(x))<span
style="mso-spacerun: yes">
</span>ff(-1,1,y,sqrt(1-y*y))=pi/2<o:p></o:p></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'><![if !supportEmptyParas]> <![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 lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><![if !supportEmptyParas]> <![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 lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
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yes"> </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'>(ff函数特别说明:<o:p></o:p></span></p>
<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
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</span>函数g(x)是关于'x'的函数(也可以不含有变量x),这里的自变量x与本函数ff以外的x没有关系;<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]> <![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
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</span>ff函数表示 对函数 g(x) 从 a 积到 b 积分,<o:p></o:p></span></p>
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font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
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</span>x表示以x为积分变量对函数g(x)积分, <o:p></o:p></span></p>
<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
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</span>N (N>0) 表示 把积分区间分成 N 份来积 ,省略 N 时默认为 1000 ;<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]> <![endif]><o:p></o:p></span></p>
<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
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</span>积分函数支持多重积分<o:p></o:p></span></p>
<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
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</span>(注意: 多重积分和积分套嵌不是一个意思)<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]> <![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
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</span>比如求单位球体的体积（R=1)<o:p></o:p></span></p>
<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
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</span>二重积分表达式为:<o:p></o:p></span></p>
<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
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</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'>ff(-1,1,x,<o:p></o:p></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:
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</span>ff(<o:p></o:p></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:
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</span>-sqrt(1-x*x),sqrt(1-x*x),y,<o:p></o:p></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:
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</span>2*sqrt(1-x*x-y*y)<o:p></o:p></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:
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</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'>)<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
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</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'><![if !supportEmptyParas]> <![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
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</span>=4.18883330446894<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
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</span>=4*Pi/3<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"> </span><span
style="mso-spacerun: yes"> </span>=ff(-1,1,x,PI*(1-x*x));<span
style="mso-spacerun: yes"> </span>// (求单位球体体积的一重积分表达式)<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]> <![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'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
12.0pt'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
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