%!PS-Adobe-2.0 %%Creator: dvips 5.54 Copyright 1986, 1994 Radical Eye Software %%Title: CORFSEG.dvi %%CreationDate: Mon Apr 09 21:56:40 2001 %%Pages: 4 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%EndComments %DVIPSCommandLine: C:\EMTEX\DVIPS16.EXE CORFSEG %DVIPSParameters: dpi=300, comments removed %DVIPSSource: TeX output 2001.04.09:2156 %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR matrix currentmatrix dup dup 4 get round 4 exch put dup dup 5 get round 5 exch put setmatrix}N /@landscape{/isls true N}B /@manualfeed{ statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 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y(v)o(on)h(K\023)-19 b(arm\023)g(an)13 b(correlation)i(function)181 884 y Fm(c)198 888 y Fk(K)221 894 y Ff(N)249 884 y Fn(\()p Fo(x)p Fn(\))c(=)g Fm(\033)377 866 y Fk(2)376 890 y(K)399 895 y Fg(0)436 826 y Fi(\024)471 860 y Fm(x)p 463 875 40 2 v 463 909 a Fn(2)p Fm(a)508 826 y Fi(\025)529 835 y Fh(N)577 884 y Fn(K)607 888 y Fh(N)643 839 y Fi(\020)672 860 y Fm(x)p 672 875 22 2 v 673 909 a(a)699 839 y Fi(\021)769 884 y Fm(;)112 b Fn(\(18\))0 961 y(where)16 b(K)144 965 y Fh(N)189 961 y Fn(is)h(the)g(MacDonald)h(function,)h(K)705 965 y Fp(\000)p Fh(N)757 961 y Fn(\()p Fm(\030)r Fn(\))s(=)s(K)872 965 y Fh(N)901 961 y Fn(\()p Fm(\030)r Fn(\),)0 998 y(and)79 1046 y Fm(\033)102 1028 y Fk(2)101 1053 y(K)124 1058 y Fg(0)154 1046 y Fn(=)10 b Fm(\024)216 1028 y Fk(2)246 1046 y Fn(2)265 1028 y Fk(1)p Fp(\000)p Fh(d)336 1046 y Fm(\031)359 1028 y Fp(\000)388 1018 y Ff(d)p 388 1022 16 2 v 389 1039 a Fg(2)442 1014 y Fi(\002)460 1046 y Fn(\000\()504 1031 y Fh(d)p 503 1038 17 2 v 503 1059 a Fk(2)533 1046 y Fn(+)e Fm(N)t Fn(\))621 1014 y Fi(\003)638 1022 y Fp(\000)p Fk(1)699 1046 y Fm(a)719 1028 y Fk(2)p Fh(N)802 1046 y Fm(:)79 b Fn(\(19\))0 1096 y(F)m(or)17 b(the)g(sp)q(ecial)i(case)e(of)g(zero)g(Hurst)g(exp)q(onen)o(t,)i Fm(N)14 b Fn(=)d(0,)17 b(w)o(e)0 1133 y(ha)o(v)o(e)f(the)g Fj(zer)n(o)g(von)f(K\023)-20 b(arm\023)g(an)16 b(c)n(orr)n(elation)e (function)f Fn(\(F)m(rank)o(el)0 1170 y(&)g(Cla)o(yton)h(1986\).)0 1231 y(F)m(or)h(Hurst)g(exp)q(onen)o(t)h Fm(N)i Fl(6)p Fn(=)c(0,)h(the)h(v)o(on)f(K\023)-19 b(arm\023)g(an)16 b(correlation)0 1268 y(function)e(can)g(b)q(e)f(normalized,)88 1347 y Fm(c)105 1351 y Fk(K)128 1357 y Ff(N)157 1347 y Fn(\()p Fo(x)p Fn(\))e(=)f Fm(\033)284 1329 y Fk(2)283 1354 y(K)371 1323 y Fn(2)p 326 1339 110 2 v 326 1372 a(\000\()p Fl(j)p Fm(N)t Fl(j)p Fn(\))460 1290 y Fi(\024)495 1323 y Fm(x)p 487 1339 40 2 v 487 1372 a Fn(2)p Fm(a)532 1290 y Fi(\025)554 1298 y Fh(N)602 1347 y Fn(K)632 1351 y Fh(N)667 1302 y Fi(\020)696 1323 y Fm(x)p 696 1339 22 2 v 697 1372 a(a)723 1302 y Fi(\021)793 1347 y Fm(;)88 b Fn(\(20\))0 1422 y(where)53 1470 y Fm(\033)76 1453 y Fk(2)75 1477 y(K)111 1470 y Fn(=)10 b Fm(\024)173 1453 y Fk(2)204 1470 y Fn(2)223 1453 y Fp(\000)p Fh(d)278 1470 y Fm(\031)301 1453 y Fp(\000)330 1443 y Ff(d)p 330 1447 16 2 v 331 1463 a Fg(2)365 1470 y Fn(\000\()p Fl(j)p Fm(N)t Fl(j)p Fn(\))494 1438 y Fi(\002)512 1470 y Fn(\000\()556 1455 y Fh(d)p 555 1462 17 2 v 555 1483 a Fk(2)585 1470 y Fn(+)e Fm(N)t Fn(\))673 1438 y Fi(\003)690 1447 y Fp(\000)p Fk(1)751 1470 y Fm(a)771 1453 y Fk(2)p Fh(N)828 1470 y Fm(:)53 b Fn(\(21\))0 1526 y(Righ)o(t{hand)23 b(side)e(of)f(equation) i(\(20\))f(is)g Fm(\033)673 1511 y Fk(2)672 1534 y(K)717 1526 y Fn(times)g(the)f(v)o(on)0 1572 y(K\023)-19 b(arm\023)g(an)16 b(function)i(of)e(argumen)o(t)h Fm(a)548 1556 y Fp(\000)p Fk(1)589 1572 y Fm(x)f Fn(\(F)m(rank)o(el)h(&)f(Cla)o(yton)0 1609 y(1986\).)g(The)11 b(v)o(on)f(K\023)-19 b(arm\023)g(an)11 b(medium)g(is)g(self{a\016ne)g(at)f(distances)0 1646 y(considerably)19 b(shorter)d(than)g(correlation)h(length)g Fm(a)p Fn(.)25 b(The)15 b(v)o(on)0 1683 y(K\023)-19 b(arm\023)g(an)16 b(correlation)h(functions)g(with)f(negativ)o(e)h(Hurst)e(exp)q(o-)0 1720 y(nen)o(t)20 b Fm(N)f(<)c Fn(0)k(ma)o(y)h(b)q(e)g(appropriate)h (for)e(the)h(description)i(of)0 1757 y(the)13 b(self{a\016ne)h(random)f (medium)h(in)g(whic)o(h)f(the)g(large)h(hetero-)0 1794 y(geneities)k(\(larger)e(than)h(the)e(correlation)j(length\))f(are)f (\014t)g(w)o(ell)0 1831 y(enough)h(b)o(y)e(mean)h(v)n(alue)h Fm(u)419 1835 y Fk(0)436 1831 y Fn(\()p Fo(x)p Fn(\).)24 b(The)15 b(v)o(on)h(K\023)-19 b(arm\023)g(an)16 b(random)0 1868 y(medium)e(is)g(illustrated)i(b)o(y)d(Figure)h(3.)0 2386 y @beginspecial 70 @llx 317 @lly 525 @urx 771 @ury 2304 @rwi 1152 @rhi @setspecial %%BeginDocument: corf04.ps %----------------------------------------------------------- % Default UNDEFINED procedure: /UNDEFINED {0 0 0.80 sethsbcolor} bind def % Default VALUEtoCOLOR procedure: /VRANGE 1.718840 def % Range of grid values: 0.142940 to 1.861780 /VRED 0.142940 VRANGE 3 div add def /VALUEtoCOLOR{VRED sub VRANGE div dup truncate sub dup 0 lt {1 add} if 1 1 sethsbcolor} bind def %----------------------------------------------------------- % User-defined VALUEtoCOLOR procedure: /VRANGE 2.000 def /VRED 0.000000 VRANGE 3 div add def /VALUEtoCOLOR{VRED sub VRANGE div dup truncate sub dup 0 lt {1 add} if 1 1 sethsbcolor} bind def /VALUEtoCOLOR{ VRANGE div dup truncate sub dup 0 lt {1 add} if neg 1 add setgray} bind def %----------------------------------------------------------- %----------------------------------------------------------- % Numerical values describing the image: /N1 501 def /N2 501 def /BB1 70.4 def % 2.484cm /BB2 316.6 def % 11.168cm /BB3 454.5 def % 16.032cm /BB4 454.5 def % 16.032cm /PAPERSIZE 841.9 def /ROTATE 0.0 def /VMIN 0.142940 def /VMAX 1.861780 def %----------------------------------------------------------- PAPERSIZE 2 div dup translate ROTATE rotate 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