📄 数值计算方法matlab例子.htm
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">for </SPAN>k=1:n<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN>p=1.0;<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">for </SPAN>j=1:n<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">if </SPAN>j~=k<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN>p=p*(z-x0(j))/(x0(k)-x0(j));<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">end<o:p></o:p></SPAN></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="COLOR: blue; FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN>end<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><FONT size=3><SPAN lang=EN-US style="COLOR: blue; FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><SPAN style="mso-spacerun: yes"> </SPAN></SPAN><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'">s=p*y0(k)+s;<o:p></o:p></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">end<o:p></o:p></SPAN></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><FONT size=3><SPAN lang=EN-US style="COLOR: blue; FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><SPAN style="mso-spacerun: yes"> </SPAN></SPAN><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'">y(i)=s;<o:p></o:p></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3><SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="COLOR: blue">end</SPAN><o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'"><FONT size=3> <o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'"><FONT size=3>第<SPAN lang=EN-US>1题（d）<o:p></o:p></SPAN></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="FONT-FAMILY: 宋体; mso-hansi-font-family: 'Times New Roman'"><FONT size=3>选择函数<SPAN lang=EN-US>y=exp(-x<SUP>2</SUP>) (-2≤x≤2),在n个节点上（n不要太大，如5~11）用拉格朗日、分段线性、三次样条三种插值方法，计算m个插值点的函数值（m要适中，如50~100）。通过数值和图形输出，将三种插值结果与精确值进行比较。适当增加n，在作比较，由此作初步分析。<o:p></o:p></SPAN></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT size=3><SPAN lang=EN-US style="mso-fareast-font-family: 仿宋_GB2312"><SPAN style="mso-spacerun: yes"><FONT face="Times New Roman"> </FONT></SPAN></SPAN><SPAN style="FONT-FAMILY: 仿宋_GB2312; mso-ascii-font-family: 'Times New Roman'">运行如下程序：</SPAN><SPAN lang=EN-US style="mso-fareast-font-family: 仿宋_GB2312"><o:p></o:p></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3> <o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>n=7;m=61;x=-2:4/(m-1):2;<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>y=exp(-x.^2);<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>z=0*x;<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>x0=-2:4/(n-1):2;<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>y0=exp(-x0.^2);<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>y1=y_lagr1(x0,y0,x);<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>y2=interp1(x0,y0,x);<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>y3=interp1(x0,y0,x,<SPAN style="COLOR: maroon">'spline'</SPAN>);<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>[x'y'y1'y2'y3']<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>plot(x,z,<SPAN style="COLOR: maroon">'w'</SPAN>,x,y,<SPAN style="COLOR: maroon">'r--'</SPAN>,x,y1,<SPAN style="COLOR: maroon">'b:'</SPAN>,x,y2,<SPAN style="COLOR: maroon">'m'</SPAN>,x,y3,<SPAN style="COLOR: maroon">'b'</SPAN>)<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3>gtext(<SPAN style="COLOR: maroon">'y=exp(-x^2)'</SPAN>),gtext(<SPAN style="COLOR: maroon">'Lagr.'</SPAN>),gtext(<SPAN style="COLOR: maroon">'Piece.-linear.'</SPAN>),gtext(<SPAN style="COLOR: maroon">'Spline'</SPAN>),<o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><FONT size=3> <o:p></o:p></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 18.0pt 36.0pt 54.0pt 72.0pt 90.0pt 108.0pt 126.0pt 144.0pt 162.0pt 180.0pt 198.0pt 216.0pt 234.0pt 252.0pt 270.0pt 288.0pt 306.0pt 324.0pt 342.0pt 360.0pt 378.0pt 396.0pt 414.0pt 432.0pt 450.0pt 468.0pt 486.0pt 504.0pt 522.0pt 540.0pt 558.0pt 576.0pt; mso-layout-grid-align: none"><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 仿宋_GB2312; mso-bidi-font-size: 10.0pt; mso-ascii-font-family: 'Times New Roman'">运行后，得到各节点和插值点的值如下：</SPAN><?xml:namespace prefix = v ns = "urn:schemas-microsoft-com:vml" /><v:shapetype id=_x0000_t75 stroked="f" filled="f" path="m@4@5l@4@11@9@11@9@5xe" o:preferrelative="t" o:spt="75" coordsize="21600,21600"><FONT size=3><FONT face="Times New Roman"> <v:stroke joinstyle="miter"></v:stroke><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"></v:f><v:f eqn="sum @0 1 0"></v:f><v:f eqn="sum 0 0 @1"></v:f><v:f eqn="prod @2 1 2"></v:f><v:f eqn="prod @3 21600 pixelWidth"></v:f><v:f eqn="prod @3 21600 pixelHeight"></v:f><v:f eqn="sum @0 0 1"></v:f><v:f eqn="prod @6 1 2"></v:f><v:f eqn="prod @7 21600 pixelWidth"></v:f><v:f eqn="sum @8 21600 0"></v:f><v:f eqn="prod @7 21600 pixelHeight"></v:f><v:f eqn="sum @10 21600 0"></v:f></v:formulas><v:path o:connecttype="rect" gradientshapeok="t" o:extrusionok="f"></v:path><o:lock aspectratio="t" v:ext="edit"></o:lock></FONT></FONT></v:shapetype><v:shape id=_x0000_s1026 style="MARGIN-TOP: 4.45pt; Z-INDEX: -4; LEFT: 0px; MARGIN-LEFT: 207pt; WIDTH: 234pt; POSITION: absolute; HEIGHT: 202.8pt; TEXT-ALIGN: left; mso-position-horizontal-relative: text; mso-position-vertical-relative: text" o:allowincell="f" type="#_x0000_t75"><v:imagedata o:title="" src="file:///C:/DOCUME~1/LIZHAO~1/LOCALS~1/Temp/msoclip1/01/clip_image001.emz"></v:imagedata></v:shape><SPAN lang=EN-US style="FONT-FAMILY: 'Courier New'; mso-bidi-font-family: 'Times New Roman'"><o:p></o:p></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">X</FONT></SPAN></P></TD>
<TD style="BORDER-RIGHT: windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #ece9d8; WIDTH: 171pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=228>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">y<SPAN style="mso-spacerun: yes"> </SPAN>y1<SPAN style="mso-spacerun: yes"> </SPAN>y2<SPAN style="mso-spacerun: yes"> </SPAN>y3<SPAN style="mso-spacerun: yes"> </SPAN><SPAN style="mso-spacerun: yes"> </SPAN></FONT></SPAN></P></TD></TR>
<TR>
<TD style="BORDER-RIGHT: windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=60>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">0</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">0.0667</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">0.1333</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">0.2000</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">… …</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">0.8667</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">0.9333</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">1.0000</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">… …</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">1.6000</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">1.6667</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">… …</FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman">1.9333</FONT></SPAN></P>
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