📄 6.3
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Date: Wed, 4 Jun 2003 23:17:42 +0800
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t.htm">=C4=BF=C2=BC</A></FONT></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/101.ht=
m">1</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/201.ht=
m">2</A></TD>
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m">3</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/401.ht=
m">4</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/501.ht=
m">5</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/601.ht=
m">6</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/701.ht=
m">7</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/801.ht=
m">8</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/901.ht=
m">9</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/1001.h=
tm">10</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/EP.htm=
">=CE=B2=C9=F9</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/REF.ht=
m">=B2=CE=BF=BC=CE=C4=CF=D7</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/EE.htm=
">=BA=F3=BC=C7</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/DDEX.h=
tm">=CB=F7=D2=FD</A></TD></TR></TBODY></TABLE></FONT>
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<TR>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/601.ht=
m">6.1</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/602.ht=
m">6.2</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/603.ht=
m">6.3</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/604.ht=
m">6.4</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/605.ht=
m">6.5</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/606.ht=
m">6.6</A></TD></TR></TBODY></TABLE></FONT></CENTER>
<HR width=3D"100%">
<H2>6.3 =D6=EC=C0=F6=D1=C7=BC=AF</H2>
<P>=C3=A2=B5=C2=B2=AA=C2=DE=BC=AF<I>M</I>=BC=C7=C2=BC=B5=C4=CA=C7=D5=FB=B8=
=F6=C7=F8=D3=F2=C9=CF=B5=C4<I>c</I>=D6=B5=C7=E9=BF=F6=A3=AC=B6=F8=D6=EC=C0=
=F6=D1=C7=BC=AF=CA=C7=C8=A1=D2=BB=B9=CC=B6=A8=B5=C4<I>c=20
</I>=D6=B5=BA=F3=A3=AC=B9=DB=B2=EC=B8=B4=C6=BD=C3=E6=C9=CF=C3=BF=D2=BB=B5=
=E3(<I>x=A3=ACy</I>)=D4=DA=B5=FC=B4=FA=D6=D0=B5=C4=B1=ED=CF=D6=A3=AC=B2=A2=
=B0=D1=BD=E1=B9=FB=BC=C7=C2=BC=CF=C2=C0=B4=A1=A3=D6=EC=C0=F6=20
=D1=C7=BC=AF=BC=F2=B3=C6<I>J</I>=BC=AF=A1=A3=D2=F2=B4=CB=B6=D4=D3=DA=CD=AC=
=D2=BB=B8=F6=B5=FC=B4=FA=BA=AF=CA=FD=A3=AC=BC=C8=D3=D0<I>M</I>=BC=AF=D3=D6=
=D3=D0<I>J</I>=BC=AF=A1=A3=B6=F8=C7=D2=D5=E2 =
=C1=BD=D6=D6=BC=AF=BA=CF=B5=C4=C8=B7=D3=D0=C3=DC=C7=D0=C1=AA=CF=B5 =
=A1=A3</P>
<P>=D2=BB=B8=F6<I>M</I>=BC=AF=BF=C9=D2=D4=B6=D4=D3=A6=CE=DE=CA=FD=D6=D6<I=
>J</I>=BC=AF=A3=AC=CA=B5=BC=CA=C9=CF<I>M</I>=BC=AF=BE=CD=CA=C7=CB=F9=D3=D0=
<I>J</I>=BC=AF=B5=C4=C5=A8=CB=F5=20
=A1=A3<I>M</I>=BC=AF=B2=BB=CD=AC=B2=BF=CE=BB=B5=C4=D0=CE=D7=B4=A3=AC=B7=B4=
=D3=B3=C1=CB=B6=D4=D3=A6=D3=DA=B8=C3=B4=A6=B5=C4<I>J</I>=BC=AF=B5=C4=D0=CE=
=D7=B4=A3=AC=D3=DA=CA=C7=D3=C3<I>M</I>=BC=AF=20
=BF=C9=D2=D4=B6=D4<I>J</I>=BC=AF=BD=F8=D0=D0=B7=D6=C0=E0=A3=AC=D6=C1=C9=D9=
=D4=DA=BC=C6=CB=E3=BB=FA=CD=BC=D0=CE=D1=A7=B5=C4=B2=E3=B4=CE=C9=CF=BF=C9=D2=
=D4=D5=E2=D1=F9=CB=B5=A1=A3</P>
<P>=BC=C6=CB=E3<I>J</I>=BC=AF=CA=B1=A3=AC=B3=F5=CA=BC=B5=FC=B4=FA=B5=E3=BE=
=CD=B2=BB=C4=DC=D7=DC=C8=A1(0=A3=AC0)=C1=CB=A3=AC=B6=F8=CA=C7=D2=AA=B8=F9=
=BE=DD=CA=B5=BC=CA=CE=BB=D6=C3=C8=A1=CA=B5=BC=CA=B5=C4=20
(<I>x</I>=A3=AC<I>y</I>)=D7=F8=B1=EA=D6=B5=A1=A3=C8=D4=D2=D4=B5=FC=B4=FA<=
I>z</I>=A1=FA<I>z</I>^2+<I>c</I>=CE=AA=C0=FD=CB=B5=C3=F7=A1=A3=CF=C8=C8=A1=
=20
=B6=A8=D2=BB=B8=F6<I>c</I>=D6=B5=A3=AC=B1=C8=C8=E7<I>c</I>=3D(1.0221,0.24=
33)=A3=AC=B5=FC=B4=FA=B9=D8=CF=B5=BB=AF=CE=AA</P>
<UL><I>x</I>=A1=FA<I>x</I>^2-<I>y</I>^2+1.0221=A3=AC<BR><I>y</I>=A1=FA2<I=
>x</I><I>y</I>+0.2433.</UL>
<P></P>
<P>=B4=D3=C6=C1=C4=BB=D7=F3=C9=CF=BD=C7=CB=E3=C6=F0=A3=AC=D6=F0=D0=D0=BC=C6=
=CB=E3=A3=AC=D2=BB=D6=B1=CB=E3=B5=BD=C6=C1=C4=BB=D3=D2=CF=C2=BD=C7=A1=A3=B5=
=B1=C8=BB=A3=AC=D2=B2=BF=C9=D2=D4=B2=BB=C8=A1=D5=FB=B8=F6=C6=C1=C4=BB=C4=C7=
=C3=B4=B4=F3=A3=AC=D6=BB=D1=A1=D2=BB=B8=F6200=A1=C1200=B5=C4=D0=A1=C7=F8=D3=
=F2=D7=F6=A1=A3 </P>
<P>
<CENTER><IMG=20
src=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/P603.GI=
F">
<P></P>
<P>=CD=BC6.3=D6=EC=C0=F6=D1=C7=BC=AF=CD=BC=C6=D7=D1=A1</CENTER></P>
<P>=B1=EA=C9=AB=B5=C4=D4=AD=C0=ED=D3=EB=C9=CF=C3=E6=BD=B2<I>M</I>=BC=AF=BA=
=CF=CA=B1=CD=EA=C8=AB=C0=E0=CB=C6=A3=AC=B4=CB=C2=D4=A1=A3=B8=C4=B1=E4=B3=A3=
=CA=FD<I>c</I>=B5=C4=C8=A1=D6=B5=A3=AC=BF=C9=D2=D4=B5=C3=B5=BD =
=B8=F7=CA=BD=B8=F7=D1=F9=B5=C4<I>J</I>=BC=AF=A1=A3</P>
<P>=D4=DA=D4=B4=B3=CC=D0=F2=D6=D0=A3=AC<I>M</I>=BC=AF=D3=EB<I>J</I>=BC=AF=
=B5=C4=BC=C6=CB=E3=B7=BD=B7=A8=CA=AE=B7=D6=CF=E0=CB=C6=A3=AC=D6=BB=D0=E8=B8=
=C4=B1=E4=C1=BD=B4=A6=D3=EF=BE=E4=BE=CD=BF=C9=D2=D4=BB=A5=BB=BB =
=CE=AA=B6=D4=B7=BD=A3=AC=BE=DF=CC=E5=CB=B5=C3=F7=BC=FB=B1=ED6.1=A1=A3</P>=
<P>
<CENTER>=B1=ED6.1=B4=D3=BC=C6=CB=E3=BB=FA=B3=CC=D0=F2=C9=CF=BF=B4<I>M</I>=
=BC=AF=D3=EB<I>J</I>=BC=AF=B5=C4=C7=F8=B1=F0=D3=EB=C1=AA=CF=B5</CENTER>
<P></P>
<P>
<CENTER>
<TABLE border=3D2>
<TBODY>
<TR>
<TD></TD>
<TD>=B3=F5=CA=BC=B5=FC=B4=FA=B5=E3</TD>
<TD>=B5=FC=B4=FA=B9=D8=CF=B5</TD>
<TD>=CB=B5=C3=F7</TD></TR>
<TR>
<TD><I>M</I>=BC=AF</TD>
<TD>x0:=3D0;y0:=3D0=A3=BB</TD>
<TD>x1:=3Df(x,y)+p0=A3=BBy1:=3Dg(x,y)+q0=A3=BB</TD>
<TD>p_0,q_0=B2=BB=B6=CF=B1=E4=BB=AF</TD></TR>
<TR>
<TD><I>J</I>=BC=AF</TD>
<TD>x0:=3Dp0;y0:=3Dq0=A3=BB</TD>
<TD>x1:=3Df(x,y)+c_X=A3=BBy1:=3Dg(x,y)+c_Y=A3=BB< /TD>
=
<TD>c_(X)=A3=ACc_(Y)=B9=CC=B6=A8=B2=BB=B1=E4</TD></TR></TBODY></TABLE></C=
ENTER>
<P></P>
<P>=CF=C2=C3=E6=B8=F8=B3=F6=D7=F7=D5=DF=B1=E0=D0=B4=B5=C4=CD=A8=D3=C3<I>M=
</I>=C0=E0=BC=AF=BA=CF=D3=EB<I>J</I>=C0=E0=BC=AF=BA=CF=D6=F0=BC=B6=B7=C5=B4=
=F3=B3=CC=D0=F2=A3=AC=B4=CB=B3=CC=D0=F2=C3=BB=D3=D0=BF=BC=C2=C7 =
=D3=C5=BB=AF=CE=CA=CC=E2=A3=AC=B6=C1=D5=DF=BF=C9=B7=C2=D5=D5=CB=FC=C3=C7=B1=
=E0=D0=B4=B3=F6=B8=FC=BA=C3=B5=C4=B3=CC=D0=F2=A1=A3</P>
<P>
<UL><PRE>{Mandelbrot Set and Julia Set, Huajie, Fart1995.PAS}
uses graph,crt,vgafont,shelib;
label 10; label 20;
const
MaxIteNum=3D300;{=CA=B5=BC=CA=C9=CF=BF=C9=D2=D4=C8=A1=B5=C3=D0=A1=D0=A9=A3=
=AC=C8=E7120}
Distance=3D40;
scalewidthheight=3D1=A3=BB
var
bps,i,PixelNumber,gd,gm: integer;
pal : array=A3=DB0..256*3-1=A3=DD of char;
f:file;
p:pointer;
b:char;
IteNumber,np,nq,kcolor,scale:integer;
r,p0,q0,x0,y0,x1,y1,temp,eps,lins1,lins2:real;
pmin,qmin,pmax,qmax,deltap,deltaq:real;
ppx,qqy,s:string;
Procedure PrepareFile(var Filename:string);
BEGIN
writeln('Please input image filename');
write('Filename =3D ');
readln(s);
IF s=3D'' THEN REPEAT
writeln('You must input a true DOS filename!');
write('Filename =3D ');
readln(s) UNTIL s<>'';
Writeln('Press any key two times!');
Writeln('( IF you want TO abort press key: ESC )');
assign(f, s);
rewrite(f, 1);
blockwrite(f, win.width, sizeof(win.width));
blockwrite(f, win.height, sizeof(win.height));
blockwrite(f, bps, sizeof(bps));
blockwrite(f, pal, sizeof(pal));
END;
procedure Abort(Msg : string);
begin
Writeln(Msg, ': ', GraphErrorMsg(GraphResult));
Halt(1);
end;
BEGIN
Clrscr;
If RegisterBGIDriver(@VGADriver) <0 then Abort('EGA/VGA');
If RegisterBGIfont(@SansFont) < 0 then Abort('SansSerif'); {3}
If RegisterBGIfont(@TripFont) < 0 then Abort('Triplex'); {1}
writeln('Dr. Liu Huajie');
writeln('Research Center for Science & Society');
writeln('Peking University,100871');
writeln('Beijing,CHINA');
writeln('E=AA=B2mail: liuhj@mccux0.mech.pku.eddu.cn');
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