1
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%!
% This is the prolog used by OzTeX 1.4 to convert a DVI file into PostScript.
% Set dev to "LW" if LaserWriter, "LINO" if Linotronic, or "?" if unknown:
/dev (?) def
statusdict /product known
{ statusdict /product get dup
(LaserWriter) anchorsearch { pop pop /dev (LW) def } { pop } ifelse
(Linotype) anchorsearch { pop pop /dev (LINO) def } { pop } ifelse
} if
% OzTeX calls @setup with the following parameters:
% resolution (integer), landscape (boolean), horizontal and vertical offsets
% (integers that are used to position the TeX origin correctly) .
/@setup { % set up OzTeX's coordinate system
/voff exch def
/hoff exch def
/land exch def
/res exch def
dev (?) eq % unknown device?
{ land
{ % landscape
90 rotate % rotate axes 90deg anticlockwise
72 res div dup neg scale % units now device dots
res dup translate % move to TeX origin
voff neg hoff translate % adjust TeX origin if necessary
}
{ % portrait
72 res div dup neg scale % units now device dots
res -10.7 res mul translate % move to TeX origin
hoff voff translate % adjust TeX origin if necessary
} ifelse
} if
dev (LW) eq % LaserWriter?
{ land
{ % landscape
% rotate/scale/translate can cause scaling problems, so use setmatrix:
version cvr 38.0 le
{ [ 0 -1 1 0 235 hoff add 3100 voff add ] setmatrix } % LaserWriter
{ version cvr 47.0 lt
{ [ 0 -1 1 0 235 hoff add 3130 voff add ] setmatrix } % LaserWriter Plus
{ [ 0 -1 1 0 235 hoff add 3160 voff add ] setmatrix } % LaserWriter II NTX
% add y to move TeX origin down by y pixels
% add x to move TeX origin LEFT by x pixels
ifelse } ifelse
}
{ % portrait
% scale/translate can cause scaling problems, so use setmatrix:
version cvr 38.0 le
{ [ 1 0 0 1 235 hoff add 190 voff add ] setmatrix } % LaserWriter
{ version cvr 47.0 lt
{ [ 1 0 0 1 235 hoff add 215 voff add ] setmatrix } % LaserWriter Plus
{ [ 1 0 0 1 235 hoff add 265 voff add ] setmatrix } % LaserWriter II NTX
% add x to move TeX origin right by x pixels
% add y to move TeX origin down by y pixels
ifelse } ifelse
} ifelse
} if
dev (LINO) eq % Linotronic?
{ land
{ % landscape
90 rotate % rotate axes 90deg anticlockwise
72 res div dup neg scale % units now device dots
res dup translate % move to TeX origin
voff neg hoff translate % adjust TeX origin if necessary
}
{ % portrait
newpath clippath pathbbox % push LLx LLy URx URy (URy = ht in pts)
/paperht exch 72 div def % paper height in inches
pop pop pop % remove URx LLy LLx
72 res div dup neg scale % units now device dots
res paperht res mul neg res add
translate % move to TeX origin
hoff voff translate % adjust TeX origin if necessary
} ifelse
} if
/mtrx 6 array def
mtrx currentmatrix pop % save our new transformation matrix
} def % end of @setup
% @saveVM and @restoreVM are only used if we are conserving VM
% by downloading font bitmaps more often:
/@saveVM {/prefontVM save def} def
/@restoreVM {prefontVM restore} def
/@newfont % create new font dict
{ /maxchcode exch def
/fontid exch def
fontid 7 dict def
fontid load begin
/FontType 3 def
/FontMatrix [1 0 0 -1 0 0] def % -1 because y scale is negative
/FontBBox [0 0 1 1] def
/BitMaps maxchcode 1 add array def
/BuildChar {CharBuilder} def
/Encoding maxchcode 1 add array def
0 1 maxchcode {Encoding exch /.notdef put} for
end
fontid fontid load definefont pop
} def
% The char data, a bitmap descriptor, is an array with 6 elements:
/ch-image {ch-data 0 get} def % the hex string image
/ch-width {ch-data 1 get} def % the number of pixels across
/ch-height {ch-data 2 get} def % the number of pixels tall
/ch-xoff {ch-data 3 get} def % number of pixels to left of origin
/ch-yoff {ch-data 4 get} def % number of pixels below origin
/ch-advw {ch-data 5 get} def % advance width
% The following character builder looks up the char data in the BitMaps array
% and paints the character:
/CharBuilder % image one char
{ /ch-code exch def % save the char code
/font-dict exch def % and the font dict
/ch-data font-dict /BitMaps get
ch-code get def
ch-advw 0
ch-xoff neg ch-height ch-yoff sub 1 sub neg % -xo , -(ht-yo-1)
ch-width ch-xoff sub 1 sub ch-yoff % (wd-xo-1) , yo
setcachedevice
ch-width ch-height true
[1 0 0 -1 ch-xoff ch-yoff] % bitmap sent top to bottom
{ch-image}
imagemask
} def
/sf {setfont} def % set current font
/dc % define new character
{ /ch-code exch def
/ch-data exch def
% The following code should be enabled if you have an old LaserWriter.
% It attempts to overcome a bug that causes the printer to crash
% and print a test page rather then report a VMerror.
%
% vmstatus % returns: savelevel vmused vmmax
% 10000 sub gt % is vmused > (vmmax-10000)?
% { pop VMERROR } % causes error message (avoiding crash)
% { pop } % pop savelevel
% ifelse
currentfont /BitMaps get ch-code ch-data put
currentfont /Encoding get ch-code
dup ( ) cvs cvn put % generate unique name
} bind def
/@bop0 {pop} def % begin DVI page n
/@bop1 % begin setting DVI page n
{ pop % throw away page number
initgraphics % start with a clean slate
mtrx setmatrix % switch to our TeX coordinate system
/prepageVM save def % save state of VM at start of page
} def
/@eop % end DVI page n
{ pop % throw away page number
prepageVM restore % restore VM to state at start of page
showpage
} def
/@end { } def % end of file
% h and s are used to typeset downloaded bitmap fonts:
/h {exch 0 rmoveto show} bind def % move right by dh and show (...)
/s {3 1 roll moveto show} bind def % move to h,v and show (...)
% H and S are used to typeset resident PostScript fonts.
% We can't use relative horizontal positioning because the advance widths in
% a PostScript font are not integers and rounding errors would accumulate:
/H {exch v moveto show} bind def % move to h,v and show (...)
/S % ditto, and save v position
{ 3 1 roll
1 add % v+1 to match baseline of bitmap fonts
dup /v exch def
moveto show
} bind def
% Some fine-tuning of the code used to draw a rule is necessary:
dev (LW) eq % LaserWriter?
version cvr 38.0 le and % and version <= 38.0?
{
/r % set a wd by ht rule at h,v
{ newpath
1 add moveto % move to h,v+1 (don't ask me why)
/ht exch 1 sub def % reduce height by 1
/wd exch 1 sub def % ditto for width
wd 0 rlineto
0 ht neg rlineto
wd neg 0 rlineto
fill
} bind def
}
{
/r % set a wd by ht rule at h,v
{ newpath
moveto % move to h,v
/ht exch 1 sub def % reduce height by 1
/wd exch 1 sub def % ditto for width
wd 0 rlineto
0 ht neg rlineto
wd neg 0 rlineto
fill
} bind def
} ifelse
% Following procedures are invoked as the result of \special{file}.
% We change all scaling and graphics back to defaults, but shift the origin
% to the current position on the page:
/@bsp
{ /vmag exch def % vertical scaling
/hmag exch def % horizontal scaling
moveto % move to h,v
gsave
/prespecialVM save def % save showpage, TeX procedures etc.
currentpoint transform
initgraphics itransform translate
hmag vmag scale
land { 90 rotate } if % rotate axes if landscape
/showpage { } def % user does not have to remove showpage
} bind def
/@esp
{ prespecialVM restore % restore saved showpage value etc.
grestore
} bind def
% Following procedures are invoked as the result of \special{epsf: file}.
% Note that @bepsf and @eepsf are currently identical to @bsp and @esp
% but it is a good idea to allow for future changes:
/@bepsf
{ /vmag exch def % vertical scaling
/hmag exch def % horizontal scaling
moveto % move to h,v
gsave
/prespecialVM save def % save showpage, TeX procedures etc.
currentpoint transform
initgraphics itransform translate
hmag vmag scale
land { 90 rotate } if % rotate axes if landscape
/showpage { } def % user does not have to remove showpage
} bind def
/@eepsf
{ prespecialVM restore % restore saved showpage value etc.
grestore
} bind def
% Here is the code to handle bitmaps generated by PICT/PNTG \specials:
/@bitmap
{ /vmag exch def % vertical scaling
/hmag exch def % horizontal scaling
/vres exch def % vertical resolution of bitmap
/hres exch def % horizontal resolution of bitmap
/ht exch def % height
/wd exch def % width
/hexstring ht string def
gsave
1 add translate % set origin to h,v+1
res hres div wd mul hmag mul
res vres div ht mul vmag mul neg scale
wd ht true
[ wd 0 0 ht neg 0 ht ]
{ currentfile hexstring readhexstring pop }
imagemask
grestore
} def
% Here are the definitions needed to handle resident PostScript fonts:
/sp % scaled pts to device dots
{ 16#10000 div % scaled pts to pts
res mul 72.27 div % pts to device dots
} bind def
/PSfont % uses dot size and TFM name
{ dup /Times-Slanted eq
{pop /Times-Roman findfont [1 0 .268 -1 0 0] makefont exch scalefont setfont}
{findfont [1 0 0 -1 0 0] makefont exch scalefont setfont}
ifelse
} bind def
% End of OzTeX's prolog.
300 false 0 0 @setup
1 @bop0
/cmsl12.300 127 @newfont
/cmr12.300 127 @newfont
/cmmi12.300 127 @newfont
/cmr8.300 127 @newfont
/cmbx12.300 127 @newfont
/cmex10.360 127 @newfont
/cmsy8.300 127 @newfont
/cmmi8.300 127 @newfont
/ccapl10.360 238 @newfont
/cmr10.300 127 @newfont
/ccapl10.300 238 @newfont
/cmsy10.360 127 @newfont
/cmr6.300 127 @newfont
cmr6.300 sf
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ccapl10.300 sf
[<FFFFC000FFFFF8000E007C000E001E000E0007000E0003800E0003800E0001C00E0001
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00FFFFC000>
32 28 -1 27 31] 68 dc
[<07E0801FF980381F80700780600380E00380E00180E00180E00000F000007800003E00
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cmex10.360 sf
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32 119 -1 1 37] 19 dc
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48 111 -3 -1 28] 90 dc
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cmsy8.300 sf
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32 34 -1 1 29] 112 dc
cmmi8.300 sf
[<60F0F070101020204040>
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cmr8.300 sf
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8 34 -3 24 14] 40 dc
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cmsy10.360 sf
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16 21 -2 20 19] 115 dc
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1 @bop1
cmr6.300 sf
976 2686(2)s
ccapl10.300 sf
196 1143(DSNV)s
cmex10.360 sf
776 622(p)s
975 553(\022)s
79(\023)h
764 1513(Z)s
675 1785(\()s
cmsy8.300 sf
1172 631(\0001)s
37(1)h
838 2672(p)s
1124 2660(\000)s
cmmi8.300 sf
1234 631(;)s
814 1526(z)s
638 2541(lm)s
809 2613(lm)s
581 2695(z)s
867 2696(\031)s
959 2695(z)s
1036 2685(lm)s
cmr8.300 sf
968 165(2)s
982 348(2)s
1068 469(2)s
1071 602(2)s
1158 631(\()s
72(+)h
35(\))h
792 1626(0)s
993 1560(2)s
741 1816(1)s
741 1853(2)s
741 1888(1)s
741 1925(2)s
726 2516(2)s
734 2588(2)s
581 2658(1)s
770 2660(2)s
855 2658(1)s
95(1)h
1151 2660(2)s
cmsy10.360 sf
680 1579(p)s
936 1581(\000)s
710 1681(\000)s
471 1754(\000)s
165(\000)h
763 1836(f)s
206(g)h
144(\025)h
860 1908(\000)s
1530 1826(p)s
1560 2299(\031)s
496 2534(\031)s
911(\024)h
496 2606(\031)s
135(\000)h
807(\024)h
52(\024)h
496 2678(\031)s
171(\000)h
63(f)h
357(g)h
141(\024)h
cmbx12.300 sf
113 366(1.)s
79(The)h
14(normal-distri)h
-1(bution)h
12(N)h
138(.)h
113 898(2.)s
113 1243(3.)s
cmsl12.300 sf
113 183(P)s
-1(art)h
17(1:)h
38(The)h
16(normal-distribution)h
15(N)h
747 737(APL)s
cmr10.300 sf
196 1080(See)s
15(also)h
13(section)h
15(21.)h
326 1143(app)s
1(ears)h
15(in)h
13(section)h
15(1.)h
ccapl10.360 sf
1628 737(DSNV)s
673 797(VSNV)s
196 958(\214)s
17(R\012DSNV)h
17(Z)h
196 1018(R\012\(\210\3350.5\015Z\015Z\))s
1(\015\(\200)h
1(2\)\210\3350.5)h
cmmi12.300 sf
887 183(\026;)s
8(\033)h
901 366(\026;)s
8(\033)h
897 487(\026)s
90(;)h
8(\033)h
613 623(\036)s
19(z)h
849 664(\031)s
1046 623(z)s
67(I)h
183(z)h
1746 1364(z)s
210 1424(z)s
510 1581(z)s
721 1615(\031)s
975 1581(t)s
38(dt)h
48(;)h
8(z)h
16(>)h
510 1681(z)s
302(z)h
510 1754(z)s
255(z)h
510 1870(z)s
947 1836(u)s
146(u)h
899 1908(u)s
194(u)h
14(<)h
1388 1870(u)s
65(z)h
2(=)h
1730 1998(z)s
326 2058(z)s
323(z)h
42(<)h
119(z)h
524(z)h
485 2118(z)s
174(z)h
1039(z)h
1226 2178(z)s
382(z)h
95(:)h
1513 2299(z)s
109(:)h
411 2534(z)s
142(z)h
2(R)h
63(z)h
632(<)h
14(z)h
92(:)h
411 2606(z)s
275(z)h
40(R)h
63(z)h
447(:)h
212(z)h
411 2678(z)s
311(z)h
231(R)h
63(z)h
286(z)h
cmr12.300 sf
868 183(\()s
100(\))h
855(1)h
882 366(\()s
100(\))h
92(The)h
12(normal-distribution)h
11(is)h
12(one)h
13(of)h
12(the)h
113 426(imp)s
1(ortan)h
-1(t)h
17(distributions)h
17(in)h
17(statistics.)h
25(As)h
17(w)h
-1(e)h
17(kno)h
-1(w,)h
17(it)h
17(is)h
17(su\016cien)h
-1(t)h
16(to)h
18(concen)h
-1(trate)h
17(on)h
113 487(the)s
15(standard)h
15(normal)h
14(distribution)h
30(N\()h
43(=)h
14(0)h
85(=)h
14(1\),)h
15(whic)h
-1(h)h
14(has)h
15(the)h
14(densit)h
-1(y)h
14(function:)h
642 623(\()s
25(\))h
14(=)h
815 589(1)s
825 664(2)s
893 623(exp)s
1017 589(1)s
1017 657(2)s
1322 623(\()s
25(\))h
187 737(This)s
19(pap)h
1(er)h
20(describ)h
1(es)h
19(t)h
-1(w)h
-1(o)h
138(functions)h
20(for)h
19(the)h
19(densit)h
-1(y)h
18(function)h
19(\()h
141(\))h
18(and)h
113 797(the)s
16(distribution)h
16(function)h
16(\()h
140(\))h
15(of)h
17(the)h
16(standard)h
17(normal.)h
206 898(The)s
16(densit)h
-1(y)h
15(of)h
17(the)h
16(standard)h
17(normal)h
16(distribution)h
15(can)h
17(b)h
1(e)h
16(programmed)h
15(directly:)h
561 958(2)s
206 1243(The)s
15(calculation)h
15(of)h
15(the)h
15(distribution)h
15(function)h
15(is)h
15(not)h
16(suc)h
-1(h)h
15(an)h
16(easy)h
15(task.)h
21(F)h
-4(ollo)h
-1(wing)h
113 1303(Kennedy/Gen)s
-1(tle)h
18(w)h
-1(e)h
19(concen)h
-1(trate)h
19(on)h
20(the)h
19(appro)h
-1(ximation)h
18(in)h
-1(tro)h
1(duced)h
19(b)h
-1(y)h
19(Co)h
1(dy)h
20(whic)h
-1(h)h
113 1364(is)s
17(based)h
17(on)h
18(rational)h
17(Tsc)h
-1(heb)h
-1(yc)h
-1(hev)h
14(appro)h
-1(ximations)h
16(for)h
17(the)h
17(error)h
17(functions)h
16(erf\()h
25(\))h
16(and)h
113 1424(erfc\()s
25(\).)h
436 1581(erf)s
-1(\()h
25(\))h
41(=)h
703 1547(2)s
842 1581(exp\()s
76(\))h
204(0)h
414 1681(erfc)s
-1(\()h
25(\))h
41(=)h
42(1)h
61(erf\()h
25(\))h
397 1754(erf)s
-1(\()h
64(\))h
41(=)h
81(erf)h
-1(\()h
25(\))h
456 1870(\010\()s
25(\))h
41(=)h
788 1836(1)s
12(+)h
11(erf)h
-1(\()h
28(\))h
83(if)h
110(0)h
763 1908(erfc\()s
67(\))h
131(if)h
109(0)h
1277 1870(with)s
58(=)h
104(2)h
187 1998(T)s
-4(o)h
21(a)h
-1(v)h
-1(oid)h
20(loss)h
21(of)h
21(signi\014cance)h
21(one)h
21(should)h
21(use)h
21(the)h
20(appro)h
-1(ximation)h
20(for)h
21(erf\()h
25(\))h
20(only)h
113 2058(for)s
22(those)h
69(for)h
21(whic)h
-1(h)h
21(erf\()h
25(\))h
81(erfc\()h
25(\))h
20(\(see)h
21(Hart)h
22(p.138\).)h
38(erf\()h
25(\))h
21(is)h
21(then)h
21(computed)h
113 2118(according)s
14(to)h
15(erfc\()h
25(\)=1-erf\()h
25(\).)h
19(In)h
14(all)h
13(other)h
14(cases)h
14(one)h
14(should)h
14(appro)h
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13(erfc\()h
25(\))h
13(\014rst)h
113 2178(and)s
18(then)h
18(use)h
17(the)h
17(form)h
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16(just)h
18(men)h
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17(erf\()h
25(\).)h
24(Co)h
1(dy)h
18(suggests)h
59(=)h
16(0)h
14(46875)h
113 2238(to)s
16(b)h
1(e)h
16(the)h
15(critical)h
14(v)h
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21(A)h
15(brief)h
14(lo)h
1(ok)h
16(at)h
16(table)h
15(7.1)h
16(in)h
15(Abramo)h
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14(sho)h
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17(that)h
113 2299(this)s
21(do)h
1(es)h
22(not)h
22(mak)h
-1(e)h
19(sense.)h
36(The)h
21(in)h
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20(of)h
21(b)h
1(oth)h
22(function)h
21(is)h
129(0)h
14(476875,)h
24(so)h
113 2359(Co)s
1(dy's)h
21(v)h
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19(is)h
20(probably)h
20(a)h
21(misprin)h
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30(W)h
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20(will)h
19(tak)h
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19(the)h
19(giv)h
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19(p)h
1(oin)h
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20(of)h
21(in)h
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113 2419(instead.)s
22(Co)h
1(dy's)h
16(appro)h
-1(ximations)h
16(are)h
16(of)h
17(the)h
16(form:)h
336 2534(erf\()s
25(\))h
227(\()h
45(\))h
508(if)h
16(0)h
157(0)h
14(5)h
314 2606(erfc\()s
25(\))h
121(exp\()h
83(\))h
81(\()h
25(\))h
357(if)h
16(0)h
14(476875)h
160(4)h
314 2678(erfc\()s
25(\))h
157(exp\()h
83(\))h
97(+)h
137(\()h
72(\))h
83(if)h
16(4)h
104 2 776 611 r
54 2 825 622 r
25 2 1017 611 r
71 2 680 1569 r
30 2 721 1579 r
18 2 741 1824 r
18 2 741 1896 r
25 2 1572 1826 r
18 2 581 2666 r
51 2 838 2666 r
22 2 867 2672 r
36 2 959 2666 r
1 @eop
2 @bop0
cmr8.300 sf
[<20303FE03FC0240020002000200020002F8030E020700030003800384038E038E03880
30406020C01F00>
16 21 -2 20 18] 53 dc
cmbx12.300 sf
[<0000E00001E00003E00003E00007E0000FE0001FE0001FE00037E00077E000E7E001C7
E00187E00307E00707E00E07E00C07E01807E03807E07007E0E007E0FFFFFEFFFFFE0007
E00007E00007E00007E00007E00007E00007E000FFFE00FFFE>
24 32 -2 31 28] 52 dc
[<1000201E01E01FFFC01FFF801FFF001FFE001FF8001BC0001800001800001800001800
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F8FE03F8FC03F0FC03F07007E03007C01C1F800FFF0003F800>
24 32 -3 31 28] 53 dc
cmsy10.360 sf
[<800002C0000660000C3000181800300C00600600C003018001830000C600006C000038
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24 24 -8 23 39] 2 dc
[<004000C000C0018001800180030003000300060006000C000C000C0018001800180030
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16 50 -5 36 19] 104 dc
[<C000C000C000600060006000300030003000180018000C000C000C0006000600060003
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16 50 -3 36 19] 105 dc
[<03F0000FFC001FFE003FFF007FFF807FFF80FFFFC0FFFFC0FFFFC0FFFFC0FFFFC0FFFF
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24 20 -3 21 25] 15 dc
[<FFFFFFFF7FFFFFFF000000000000000000000000000000000000000000000000000000
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32 22 -3 22 39] 17 dc
ccapl10.360 sf
[<FFFFF800FFFFFE00FFFFFF800F000FC00F0003C00F0001E00F0001E00F0000F00F0000
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32 34 -2 33 34] 80 dc
[<000FF018007FFC1801FFFF3803F80FB807C003F80F8001F81E0000F83E0000783C0000
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00F0001FFFF0001FFFF0001FFFF00000787800007878000078780000783C0000783E0000
781E0000780F80007807C000F803F803F801FFFFF8007FFF98000FFC08>
32 34 -3 33 39] 71 dc
[<0003C0000003C0000003C0000007E0000007E0000006E000000EF000000E7000000C70
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32 34 -2 33 37] 65 dc
[<FFF007FFFFF007FFFFF007FF0F0000700F0000700F0000700F0000700F0000700F0000
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32 34 -2 33 37] 85 dc
[<FFFC0000FFFC0000FFFC00000F0000000F0000000F0000000F0000000F0000000F0000
000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000
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32 34 -2 33 31] 76 dc
[<01C003C00FC0FFC0FDC0F1C001C001C001C001C001C001C001C001C001C001C001C001
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16 32 -4 31 25] 49 dc
[<387CFEFEFE7C38000000000000000000387CFEFEFE7C38>
8 23 -3 22 14] 58 dc
[<03FC000FFF001FFF803C07C07801C07801E07800E03800E00001E00001E00003C00007
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24 32 -2 31 25] 51 dc
cmr10.300 sf
[<003F0000070000070000070000070000070000070000070000070000070000070003E7
000C1700180F00300700700700600700E00700E00700E00700E00700E00700E007006007
00700700300700180F000C370007C7E0>
24 29 -2 28 23] 100 dc
[<07E01830201C201C781E780E781E381E001C001C00180030006007E00030001C001C00
0E000F000F700FF80FF80FF80FF00E401C201C183007E0>
16 29 -2 27 21] 51 dc
cmr12.300 sf
[<000FE00000783C0000E00E0003C00780078003C00F0001E00E0000E01E0000F03C0000
783C0000787C00007C7C00007C7800003C7800003CF800003EF800003EF800003EF80000
3EF800003EF800003EF800003EF800003EF800003E7800003C7C00007C7C00007C3C0000
783E0000F81E0000F00F0001E00F0001E0078003C003C0078000E00E0000783C00000FE0
00>
32 36 -3 34 38] 79 dc
[<FFFFF8000F800E0007800780078003C0078003E0078001E0078001F0078001F0078001
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F8078000F8078001F0078001F0078003E0078007C00F800F00FFFFFC00>
32 34 -2 33 35] 66 dc
[<FFFFF0000F801E0007800700078003C0078001C0078000E0078000F007800078078000
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32 34 -2 33 37] 68 dc
[<03FFF0001F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F
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24 35 -2 33 25] 74 dc
[<01F000060C000C0600180700380380700380700380F001C0F001C0F001C0F001E0F001
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24 34 -2 32 24] 57 dc
2 @bop1
cmsy8.300 sf
294 529(\000)s
cmmi8.300 sf
542 373(lm)s
cmr8.300 sf
968 165(2)s
321 529(15)s
cmbx12.300 sf
113 1198(4.)s
113 2216(5.)s
ccapl10.300 sf
196 2105(VSNV)s
cmmi12.300 sf
887 183(\026;)s
8(\033)h
505 366(R)s
137 547(:)s
951 1439(z)s
992 1499(z)s
1011 1620(z)s
1051 1680(z)s
943 1800(z)s
984 1861(z)s
459 2317(z)s
404 2419(z)s
627 2521(z)s
cmsy10.360 sf
192 547(\002)s
196 1379(h)s
702(i)h
196 1439(h)s
1074(i)h
196 1499(h)s
1114(i)h
196 1620(h)s
1133(i)h
196 1680(h)s
1174(i)h
196 1800(h)s
1065(i)h
196 1861(h)s
1106(i)h
196 1981(h)s
704(i)h
186 2317(\017)s
186 2419(\017)s
186 2521(\017)s
196 2683(h)s
724(i)h
29(\021)h
cmsl12.300 sf
113 183(P)s
-1(art)h
17(1:)h
38(The)h
16(normal-distribution)h
15(N)h
1058 1028(APL)s
ccapl10.360 sf
934 968(PGA)s
-1(USS)h
1366 1028(VSNV)s
1(.)h
196 1319(\214)s
17(P\012VSNV)h
17(Z)h
420 1439(L1)s
172 1560(L1:)s
420 1620(L2)s
172 1740(L2:)s
420 1800(L3)s
172 1921(L3:)s
cmr10.300 sf
196 2043(See)s
15(also)h
13(section)h
15(22.)h
325 2105(app)s
1(ears)h
15(in)h
13(sections)h
15(1)h
14(and)h
14(3.)h
cmr12.300 sf
868 183(\()s
100(\))h
855(2)h
187 366(Co)s
1(dy)h
14(pro)h
-1(vides)h
109(for)h
15(v)h
-3(arious)h
14(p)h
1(olynomial)h
13(orders)h
15(together)h
14(with)h
14(maxim)h
-1(al)h
12(relativ)h
-1(e)h
113 426(errors.)s
46(W)h
-4(e)h
24(ha)h
-1(v)h
-1(e)h
24(c)h
-1(hosen)h
24(the)h
24(p)h
1(olynomial)h
23(fractions)h
24(of)h
25(the)h
24(orders)h
25(\(3,3\),)h
26(\(7,7\))h
24(and)h
113 487(\(4,4\))s
18(for)h
17(the)h
17(three)h
17(in)h
-1(terv)h
-3(als.)h
23(The)h
18(maxim)h
-1(al)h
15(error)h
17(is)h
17(according)h
18(to)h
17(Co)h
1(dy)h
18(smaller)h
15(than)h
113 547(2)s
14(3)h
71(10)h
66(.)h
43(This)h
24(seems)h
22(to)h
23(b)h
1(e)h
24(appropriate)h
24(with)h
23(resp)h
1(ect)h
24(to)h
23(the)h
24(accuracy)h
23(of)h
24(our)h
113 607(mac)s
-1(hine.)h
187 667(One)s
17(ma)h
-1(y)h
15(sa)h
-1(y)h
-4(,)h
18(that)h
17(a)h
18(disadv)h
-3(an)h
-1(tage)h
18(of)h
18(this)h
17(appro)h
-1(ximation)h
17(is)h
17(the)h
17(large)h
17(n)h
-1(um)h
-1(b)h
1(er)h
16(of)h
113 727(co)s
1(e\016cien)h
-1(ts,)h
16(whic)h
-1(h)h
16(enlarge)h
16(the)h
17(program)h
17(co)h
1(de.)h
23(T)h
-4(ruely)h
16(one)h
17(can)h
17(get)h
17(a)h
18(v)h
-1(ery)h
15(short)h
18(co)h
1(de)h
113 788(using)s
17(other)h
16(appro)h
-1(ximations)h
15(suc)h
-1(h)h
15(as)h
17(those)h
16(giv)h
-1(en)h
15(b)h
-1(y)h
15(Hill,)h
14(Adams,)h
14(Hastings,)h
16(Andrews)h
113 848(and)s
17(Wheeler.)h
187 908(But)s
10(as)h
12(exp)h
1(erim)h
-1(en)h
-1(ts)h
9(made)h
10(b)h
-1(y)h
10(Steinec)h
-1(k)h
-1(er)h
9(sho)h
-1(w)h
-1(ed,)h
11(Co)h
1(dy's)h
12(appro)h
-1(ximation)h
10(is)h
11(sup)h
1(erior)h
113 968(to)s
19(all)h
18(the)h
18(others,)h
19(including)h
18(Wheeler's)h
219(,)h
16(in)h
18(resp)h
1(ect)h
18(to)h
19(sp)h
1(eed)h
19(and)h
19(accuracy)h
-4(,)h
113 1028(w)s
-1(e)h
16(will)h
15(implem)h
-2(en)h
-1(t)h
14(Co)h
1(dy's)h
17(Algorithm)h
14(as)h
17(the)h
116(-function)h
187 1088(Some)s
15(of)h
16(the)h
16(other)h
17(suggestions)h
17(will)h
15(b)h
1(e)h
17(dealt)h
16(with)h
16(later.)h
206 1198(So)s
15(let)h
14(us)h
15(start)h
16(with)h
14(Co)h
1(dy's)h
16(appro)h
-1(ximation)h
14(for)h
15(the)h
14(normal)h
14(distribution)h
15(function.)h
113 1259(W)s
-4(e)h
16(ma)h
-1(y)h
15(write)h
16(do)h
-1(wn)h
16(the)h
16(function)h
16(at)h
17(a)h
17(higher)h
16(lev)h
-1(el)h
14(as)h
17(follo)h
-1(ws.)h
557 1319(4)s
223 1379(Do)s
18(the)h
16(initialisation)h
15(steps.)h
97(5)h
223 1439(Jump)s
16(to)h
73(,)h
15(if)h
16(there)h
16(are)h
16(no)h
17(small)h
39(-v)h
-3(alues.)h
98(11)h
223 1499(Do)s
18(Co)h
1(dy's)h
17(appro)h
-1(ximation)h
15(for)h
17(small)h
39(-v)h
-3(alues.)h
97(12)h
223 1620(Jump)s
16(to)h
73(,)h
15(if)h
16(there)h
16(are)h
16(no)h
17(medium)h
38(-v)h
-3(alues.)h
97(15)h
223 1680(Do)s
18(Co)h
1(dy's)h
17(appro)h
-1(ximation)h
15(for)h
17(medi)h
-1(um)h
38(-v)h
-3(alues.)h
98(16)h
223 1800(Jump)s
16(to)h
73(,)h
15(if)h
16(there)h
16(are)h
16(no)h
17(large)h
41(-v)h
-3(alues.)h
97(17)h
223 1861(Do)s
18(Co)h
1(dy's)h
17(appro)h
-1(ximation)h
15(for)h
17(large)h
41(-v)h
-3(alues.)h
97(18)h
223 1981(Do)s
18(the)h
16(\014nal)h
16(adjustmen)h
-1(ts.)h
96(19)h
206 2216(The)s
16(initialisation)h
15(pro)h
1(cess)h
17(consists)h
17(of)h
235 2317(transform)s
235 2419(classify)s
235 2521(allo)s
-1(w)h
16(for)h
17(m)h
-1(ulti)h
-1(ple)h
39(-v)h
-3(alues)h
113 2622(So)s
17(the)h
16(initialisation)h
15(pro)h
1(cess)h
17(can)h
17(b)h
1(e)h
16(re\014ned)h
16(as)h
17(follo)h
-1(ws)h
223 2683(Do)s
18(the)h
16(initialisation)h
15(steps.)h
119(5)h
2 @eop
3 @bop0
cmbx12.300 sf
[<001F8000FFE003F07007C0F00F01F81F01F83E01F83E01F87E00F07C00007C0000FC08
00FC7FC0FCFFE0FD80F0FF00F8FE007CFE007CFC007EFC007EFC007EFC007E7C007E7C00
7E7C007E3C007C3E007C1E00F80F00F00783E003FFC000FF00>
24 32 -2 31 28] 54 dc
[<6000007800007FFFFE7FFFFE7FFFFC7FFFF87FFFF87FFFF0E00060E000C0C00180C003
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24 34 -3 33 28] 55 dc
[<00FE0003FFC00703E00E00F01C00F01C00783C00783E00783F00783F80783FE0F01FF9
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1EF0001EF0001CF8001C7800383C00381F01F00FFFC001FF00>
24 32 -2 31 28] 56 dc
[<01FE0007FF800F83E01E01F03E00F07C00F87C0078FC007CFC007CFC007CFC007EFC00
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24 32 -2 31 28] 57 dc
cmr10.300 sf
[<7FFFFFC0700F01C0600F00C0400F0040400F0040C00F0020800F0020800F0020800F00
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32 28 -1 27 30] 84 dc
[<FC00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C7C
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24 29 -1 28 23] 104 dc
[<FC1F801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03
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24 18 -1 17 23] 117 dc
[<000C00000C00001C00003C00003C00005C0000DC00009C00011C00031C00021C00041C
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24 28 -1 27 21] 52 dc
[<300C3FF83FF03FC020002000200020002000200023E024302818301C200E000E000F00
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16 29 -2 27 21] 53 dc
ccapl10.360 sf
[<1E007800FE03F800FE03F800FE03F8000E0038000E0038000E0038000E0038000E0038
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32 23 -1 22 28] 117 dc
[<1E1F8000FE7FE000FEFFF000FFC0F0000F8078000F0038000E0038000E0038000E0038
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32 23 -1 22 28] 110 dc
[<3FFFC03FFFC03FFFC0380380380700780E00701E00703C0070380070700000E00001E0
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24 23 -1 22 22] 122 dc
[<C0000000F80000003F00000007E0000000FC0000001F80000003F00000007E0000000F
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32 29 -4 26 39] 166 dc
[<387CFEFFFF7F3F0707070E0E1C3C387020>
8 17 -3 6 14] 44 dc
[<000E0000001F0000003F8000003F8000003F8000001F0000000E000000000000000000
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32 30 -3 26 34] 14 dc
[<00400000C00001E0000330000618000C0C000C0C00180600300300600180600180C000
C06001806001803003001806000C0C000C0C0006180003300001E00000C000004000>
24 23 -3 22 25] 155 dc
[<80C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0
C0C0C080>
8 39 -6 34 14] 171 dc
[<1C003E003E003E001C00000000000000000000000000000000000E00FE00FE00FE000E
000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E00FFE0FFE0FF
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16 36 -1 35 14] 105 dc
[<1E00FE00FE00FE000E000E000E000E000E000E000E000E000E000E000E000E000E000E
000E000E000E000E000E000E000E000E000E000E000E000E000E000E00FFE0FFE0FFE0>
16 35 -1 34 14] 108 dc
[<E000007C00001F000003C00000F800003E000007800001F000007C00000F00000F0000
7C0001F0000780003E0000F80003C0001F00007C0000E00000>
24 20 -4 21 33] 164 dc
[<000F00001F00001F00003F0000770000770000E70000E70001C70003C7000387000707
000F07000E07001C07003C0700380700780700F00700FFFFFCFFFFFCFFFFFC0007000007
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24 32 -1 31 25] 52 dc
[<00010003000600060006000C000C000C0018001800300030003000600060006000C000
C0018001800180030003000600060006000C000C000C0018001800300030003000600060
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16 39 -1 34 19] 230 dc
[<1E003F807F8071C0E1C0E1C041C001C001C001C001C003C00380038003800380038003
860387038E01FE01FC0078>
16 23 -1 22 19] 4 dc
[<03C00FF01FF83C3C781E700E700EE007E007E007E007E007E007E007E007E007F00EF0
0EF81EFC3CFFF8EFF0E3C0E000E000E000E000E000E000E000E000E0004000>
16 33 -3 22 23] 6 dc
[<1E1F807E00FE7FE1FF80FEFFF3FFC0FFC0F703C00F807E01E00F003C00E00E003800E0
0E003800E00E003800E00E003800E00E003800E00E003800E00E003800E00E003800E00E
003800E00E003800E00E003800E00E003800E00E003800E00E003800E0FFE3FF8FFEFFE3
FF8FFEFFE3FF8FFE>
40 23 -1 22 42] 109 dc
[<FEFEFEE0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0
E0FEFEFE>
8 39 -5 34 14] 91 dc
[<FEFEFE0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E
0EFEFEFE>
8 39 -1 34 14] 93 dc
[<7000007000007FFFF07FFFF07FFFF07000E0E001C0E001C0E00380E00700000E00000E
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24 34 -3 33 25] 55 dc
[<007E0001FF0007FF800F83C01E03C01C03C0380180380000700000700000700000E0F8
00E3FE00EFFF00FE0F00F80780F00380F001C0E001C0E001C0E001C0E001C0E001C07001
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24 32 -3 31 25] 54 dc
[<03FC000FFF001FFF803E07C03801C07000E07000E07000E07000E07801E03E01C03F83
801FCF8007FE0003FC0007FE000FFF001E1F80380FC07003E07001E0E000F0E00070E000
70E00070E000707000E07800E03E03C01FFF800FFF0003FC00>
24 32 -2 31 25] 56 dc
[<03C000400FE000401FF000403C380040701800C0600C00C0C00C0180C006038080070F
008003FE008001FC008000F000>
32 12 -3 22 33] 223 dc
cmr12.300 sf
[<FFC00003FF0FC00003F007C00003E005E00005E005E00005E004F00009E004F00009E0
04F00009E004780011E004780011E004780011E0043C0021E0043C0021E0043C0021E004
1E0041E0041E0041E0040F0081E0040F0081E0040F0081E004078101E004078101E00407
8101E00403C201E00403C201E00401E401E00401E401E00401E401E00400F801E00400F8
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40 34 -2 33 45] 77 dc
[<FFFFF0000F803C0007800F0007800780078007C0078003C0078003E0078003E0078003
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32 34 -2 33 33] 80 dc
[<FFFE00000FC00000078000000780000007800000078000000780000007800000078000
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32 34 -2 33 30] 76 dc
[<01F8200704600E02601C01603801E07800E07800E0F000E0F000E0F000E0F000E0F000
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24 31 -2 20 26] 113 dc
3 @bop1
cmr8.300 sf
968 165(2)s
888 2434(2)s
cmbx12.300 sf
113 719(6.)s
113 1317(7.)s
113 1794(8.)s
113 2392(9.)s
cmsy10.360 sf
196 366(h)s
1493(i)h
196 426(h)s
572(i)h
196 487(h)s
639(i)h
196 547(h)s
714(i)h
1722 678(p)s
196 1080(h)s
1515(i)h
29(\021)h
196 1558(h)s
593(i)h
29(\021)h
196 2155(h)s
661(i)h
29(\021)h
196 2512(h)s
735(i)h
29(\021)h
cmmi12.300 sf
887 183(\026;)s
8(\033)h
460 366(z)s
350(z)h
473 426(z)s
541 487(z)s
1572 719(u)s
73(z)h
2(=)h
582 779(u)s
1141 839(u)s
703 900(z)s
460 1080(z)s
350(z)h
648 1317(z)s
745(z)h
473 1558(z)s
401 1794(z)s
531(z)h
387(:)h
332 2035(z)s
541 2155(z)s
863 2452(z)s
cmsl12.300 sf
113 183(P)s
-1(art)h
17(1:)h
38(The)h
16(normal-distribution)h
15(N)h
cmr10.300 sf
196 609(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(4.)h
196 1207(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(5.)h
196 1684(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(5.)h
196 2282(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(5.)h
196 2639(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(5.)h
ccapl10.360 sf
113 839(un)s
1254 900(z)s
727 960(z)s
1092(Z)h
920 1020(P)s
196 1145(P\012un\0120\246z\012,Z\0162\2100.5)s
16(\233)h
16(z\012\253z)h
610 1377(z)s
456(i3)h
113 1437(z)s
473(i1)h
325 1497(ul)s
196 1622(i3\012\(ul\012z\2444\)\346i)s
1(1\012\004\006z)h
1191 1854(i2)s
456 1915(ul)s
616 1975(i1)s
186(i1)h
537(z)h
1676 2035(um)s
811 2095(z[i1])s
196 2220(i2\012\(um\012z[i1]\2440.476875\)\346i1\012\(\337)s
1(ul\)\346)h
1(i1)h
522 2392(z)s
196 2577(z2\012,zz2\012zz\015zz\012\()s
1(\(\006z\))h
1(,1\)\006z)h
cmr12.300 sf
868 183(\()s
100(\))h
855(3)h
223 366(T)s
-4(ransform)h
42(,)h
16(mark)h
15(negativ)h
-1(e)h
40(-v)h
-3(alues,)h
16(switc)h
-1(h)h
16(to)h
16(absolute)h
17(v)h
-3(alues.)h
97(6)h
223 426(Mark)s
17(large)h
41(-v)h
-3(alues.)h
98(7)h
223 487(Mark)s
17(medium)h
38(-v)h
-3(alues.)h
97(8)h
223 547(Prepare)s
17(for)h
17(m)h
-1(ulti)h
-1(ple)h
14(input.)h
97(9)h
206 719(Let)s
18(us)h
19(con)h
-1(tin)h
-1(ue)h
18(with)h
18(step)h
-1(wise)h
18(re\014nemen)h
-2(t.)h
26(First)h
18(w)h
-1(e)h
18(ha)h
-1(v)h
-1(e)h
18(to)h
19(do)h
64(=)h
109(2)h
18(and)h
113 779(then)s
14(to)h
14(decide)h
13(w)h
-1(ether)h
55(is)h
13(less)h
14(or)h
14(equal)h
13(than)h
15(0)h
14(or)h
14(not.)h
21(W)h
-4(e)h
14(use)h
14(a)h
14(lo)h
1(cal)h
14(binary)h
13(v)h
-3(ariable)h
184 839(to)s
14(store)h
15(w)h
-1(ether)h
14(the)h
14(corresp)h
1(onding)h
15(elem)h
-1(en)h
-1(t)h
12(of)h
57(is)h
14(less)h
14(or)h
15(equal)h
14(0)h
14(or)h
15(not.)h
21(Then)h
14(w)h
-1(e)h
113 900(tak)s
-1(e)h
17(the)h
18(absolute)h
18(v)h
-3(alues)h
17(of)h
61(whic)h
-1(h)h
17(will)h
16(b)h
1(e)h
18(stored)h
18(in)h
39(.)h
26(So)h
18(from)h
16(no)h
-1(w)h
18(on)h
18(w)h
-1(e)h
18(should)h
113 960(tak)s
-1(e)h
17(in)h
-1(to)h
17(consideration)h
18(that)h
57(con)h
-1(tains)h
18(the)h
17(absolute)h
18(v)h
-3(alues)h
17(of)h
18(the)h
17(input)h
17(v)h
-3(ariable)h
47(.)h
113 1020(W)s
-4(e)h
16(also)h
17(initialize)h
14(the)h
16(output)h
17(v)h
-3(ariable)h
66(of)h
16(our)h
17(function.)h
223 1080(T)s
-4(ransform)h
42(,)h
16(mark)h
15(negativ)h
-1(e)h
40(-v)h
-3(alues,)h
16(switc)h
-1(h)h
16(to)h
16(absolute)h
17(v)h
-3(alues.)h
119(6)h
206 1317(No)s
-1(w)h
17(w)h
-1(e)h
18(mark)h
16(those)h
43(-v)h
-3(alues)h
18(whic)h
-1(h)h
17(are)h
18(large,)h
17(i.e.)h
16(where)h
60(is)h
18(greater)h
17(than)h
18(4)h
19(b)h
-1(y)h
113 1377(storing)s
17(their)h
16(indices)h
15(in)h
55(in)h
16(the)h
16(lo)h
1(cal)h
16(v)h
-3(ariable)h
55(.)h
22(F)h
-4(uthermore)h
14(w)h
-1(e)h
16(store)h
17(all)h
16(indices)h
15(of)h
155 1437(in)s
20(the)h
19(lo)h
1(cal)h
20(v)h
-3(ariable)h
78(and)h
20(k)h
-1(eep)h
18(the)h
20(marks)h
18(of)h
20(those)h
20(elemen)h
-2(ts)h
18(whic)h
-1(h)h
19(are)h
20(greater)h
113 1497(than)s
17(4)h
17(in)h
58(.)h
223 1558(Mark)s
17(large)h
41(-v)h
-3(alues.)h
119(7)h
206 1794(Medium)s
43(-v)h
-3(alues)h
21(are)h
20(those)h
21(where)h
66(is)h
20(greater)h
21(than)h
21(0)h
14(476875)h
23(and)h
21(not)h
21(greater)h
113 1854(than)s
16(4.)h
22(W)h
-4(e)h
15(k)h
-1(eep)h
14(their)h
15(indices)h
15(in)h
15(the)h
15(lo)h
1(cal)h
15(v)h
-3(ariable)h
55(.)h
21(W)h
-4(e)h
15(can)h
15(use)h
16(the)h
15(fact,)h
15(that)h
16(the)h
113 1915(binary)s
20(v)h
-3(ariable)h
81(con)h
-1(tains)h
19(already)h
20(the)h
19(information)h
19(whic)h
-1(h)h
19(v)h
-3(alues)h
19(are)h
20(greater)h
19(than)h
113 1975(4.)s
26(But)h
17(\014rst)h
18(w)h
-1(e)h
17(mo)h
1(dify)h
73(so)h
19(that)h
74(con)h
-1(tains)h
18(all)h
17(eleme)h
-1(n)h
-1(ts)h
16(of)h
58(whic)h
-1(h)h
17(are)h
17(not)h
19(large,)h
113 2035(i.e.)s
14(where)h
57(is)h
15(not)h
16(greater)h
16(than)h
16(4.)h
22(Besides)h
15(that)h
16(w)h
-1(e)h
15(in)h
-1(tro)h
1(duce)h
15(the)h
16(v)h
-3(ariable)h
101(whic)h
-1(h)h
113 2095(con)s
-1(tains)h
17(the)h
16(information)h
15(w)h
-1(ether)h
121(is)h
16(greater)h
17(0.476875)h
18(or)h
17(not.)h
223 2155(Mark)s
17(medium)h
38(-v)h
-3(alues.)h
119(8)h
206 2392(No)s
-1(w)h
22(w)h
-1(e)h
22(form)h
66(in)h
-1(to)h
22(a)h
22(matrix)h
21(b)h
1(ecause)h
23(w)h
-1(e)h
21(w)h
-1(an)h
-1(t)h
23(to)h
22(deal)h
23(with)h
22(arra)h
-1(ys)h
22(as)h
23(righ)h
-1(t)h
113 2452(argumen)s
-1(t.)h
20(W)h
-4(e)h
16(pro)h
-1(vide)h
16(a)h
17(matrix)h
14(of)h
77(to)h
1(o.)h
223 2512(Prepare)s
17(for)h
17(m)h
-1(ulti)h
-1(ple)h
14(input.)h
118(9)h
25 2 1764 678 r
3 @eop
4 @bop0
cmmi12.300 sf
[<01E01FC001C001C001C0038003800380038007000700070007000E000E000E000E001C
001C001C001C0038003800380038007000700070007100E200E200E200620064001C00>
16 35 -3 34 15] 108 dc
[<3C07E01F00461830618047201880C087401D00E087801E00E087801C00E087001C00E0
0E003801C00E003801C00E003801C00E003801C01C007003801C007003801C007007001C
007007043800E007083800E00E083800E00E083800E006107001C006203000C003C0>
40 21 -2 20 43] 109 dc
cmbx12.300 sf
[<00FE0007FFC00F83E01F01F03E00F83E00F87C007C7C007C7C007CFC007CFC007EFC00
7EFC007EFC007EFC007EFC007EFC007EFC007EFC007EFC007EFC007EFC007EFC007E7C00
7C7C007C7C007C3E00F83E00F81F01F00F83E007FFC000FE00>
24 32 -2 31 28] 48 dc
cmr10.300 sf
[<03C00C301818300C300C700E60066006E007E007E007E007E007E007E007E007E007E0
07E007E007E00760066006700E300C300C18180C3007E0>
16 29 -2 27 21] 48 dc
ccapl10.360 sf
[<000038000000001C000000001E000000000700000000038000000001C000000000F000
0000003C00FFFFFFFFC0FFFFFFFFC00000003C00000000F000000001C000000003800000
0007000000001E000000001C00000000380000>
40 18 -3 20 44] 11 dc
[<7FFFFF80FFFFFFC0000000000000000000000000000000000000000000000000000000
00000000000000000000000000FFFFFFC07FFFFF80>
32 14 -3 18 33] 61 dc
[<1FE0003FF8007FFC00781E00300F0000070000070000070000070003FF000FFF003F07
00780700700700E00700E00700E00700E00700F00F00F83F007FFFF07FE3F01F01F0>
24 23 -3 22 24] 97 dc
[<1E0000FE0000FE0000FE00000E00000E00000E00000E00000E00000E00000E00000E00
000E0FE00E7FF00EFFF80FE07C0F801E0F000E0F000E0E000F0E00070E00070E00070E00
070E00070E00070E00070F000F0F000E0F801E0F803C0FE07C0EFFF80E3FF00E0FC0>
24 35 -1 34 28] 98 dc
[<03F0000FF8001FFE003C1E00780700700700F00380E00380E00380E001C0E001C0E001
C0E001C0E001C0E003C07003C07807C03C1FC03FFDC01FF1C007C1C00001800003800003
80000380600700F00F00F01E00F03C007FF8003FF0001FC000>
24 32 -3 31 25] 57 dc
[<001800001800001800001800001800001800001800001800001800001800FFFFFEFFFF
FE001800001800001800001800001800001800001800001800001800001800>
24 22 -3 22 30] 43 dc
[<387CFEFEFE7C38000000000000000000387CFEFFFF7F3F0707070E0E1C3C387020>
8 33 -3 22 14] 59 dc
[<00400000C00000C00000C00000C00000C00000C00000C00000C00000C00000C00000C0
0000C00000C00000C00000C00000C00000C00000C00000C00000C000FFFFC0FFFFC0>
24 23 -3 22 25] 176 dc
cmr12.300 sf
[<FFF0007FC01F80001F000F00000C000780000C000780000800078000080003C0001000
03C000100003E000300001E000200001E000200000F000400000F000400000F000400000
780080000078008000007C018000003C010000003C010000001E020000001E020000001F
020000000F040000000F040000000F8C0000000788000000078800000003D000000003D0
00000003F000000001E000000001E000000000C000000000C000000000C00000>
40 35 -1 33 37] 86 dc
4 @bop1
cmmi8.300 sf
993 2204(lm)s
cmr8.300 sf
968 165(2)s
1081 2176(2)s
cmmi12.300 sf
887 183(\026;)s
8(\033)h
684 723(z)s
951 783(z)s
992 1201(z)s
687 1325(z)s
1472 1497(l)s
131(m)h
765 2104(z)s
361(z)h
2(=)h
765 2197(z)s
143(z)h
2(R)h
63(z)h
687 2380(z)s
1070 2616(z)s
cmbx12.300 sf
113 366(10.)s
113 723(11.)s
113 1020(12.)s
113 1497(13.)s
113 1975(14.)s
113 2616(15.)s
cmsy10.360 sf
196 487(h)s
763(i)h
29(\021)h
196 783(h)s
1095(i)h
29(\021)h
196 1201(h)s
1136(i)h
29(\021)h
196 1265(h)s
1312(i)h
196 1325(h)s
810(i)h
196 1618(h)s
1334(i)h
29(\021)h
965 2104(f)s
1198 2061(p)s
1283 2104(g)s
850 2197(\031)s
196 2380(h)s
831(i)h
29(\021)h
255 2616(h)s
1155(i)h
29(\021)h
cmsl12.300 sf
113 183(P)s
-1(art)h
17(1:)h
38(The)h
16(normal-distribution)h
15(N)h
cmr10.300 sf
196 613(See)s
15(also)h
13(section)h
15(20.)h
196 910(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(4.)h
196 1387(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(4.)h
196 1865(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(12.)h
196 2506(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(12.)h
ccapl10.360 sf
623 487(VSNV)s
196 551(i1,i2,i3,un,um,ul,z2,zz2,z,zz)s
1768 723(L1)s
420 783(L1)s
196 848(\013\(0=\006i1\012\(\337um\)\346i1\))s
1(\346L1)h
435 1325(P)s
1282 1558(a)s
112(b)h
196 1682(a\012\3350.035609843701815386)s
16(6.9963834886191355)h
15(21.979261618294153)h
279 1742(242.66795523053176)s
196 1802(b\0121)s
17(15.082797630407788)h
15(91.1649054045149)h
15(215.0588758698612)h
435 2380(P)s
196 2444(P[i1]\0120.5\0151+z[i1]\015\(zz2[i)s
1(1;]\260a\)\016zz2[i1;]\260b)h
479 2616(L2)s
cmr12.300 sf
868 183(\()s
100(\))h
855(4)h
234 366(W)s
-4(e)h
15(should)h
16(mak)h
-1(e)h
14(some)h
15(v)h
-3(ariables)h
15(lo)h
1(cal.)h
21(W)h
-4(e)h
15(in)h
-1(tro)h
1(duce)h
15(the)h
16(con)h
-1(v)h
-1(en)h
-1(tion)h
14(that)h
16(lo)h
1(cal)h
113 426(v)s
-3(ariables)h
17(will)h
15(b)h
1(e)h
16(written)h
16(in)h
16(lo)h
-1(w)h
-1(er)h
15(case)h
16(letters)h
223 487(Lo)s
1(cal)h
18(V)h
-4(ariables)h
16(of)h
156(\(4\))h
97(10)h
234 723(If)s
16(there)h
15(are)h
16(no)h
17(small)h
40(-v)h
-3(alues)h
16(w)h
-1(e)h
16(carry)h
16(on)h
17(our)h
16(computation)h
16(at)h
17(the)h
16(lab)h
1(el)h
71(.)h
223 783(Jump)s
16(to)h
73(,)h
15(if)h
16(there)h
16(are)h
16(no)h
17(small)h
39(-v)h
-3(alues.)h
119(11)h
234 1020(T)s
-4(o)h
15(ev)h
-3(aluate)h
15(Co)h
1(dy's)h
15(appro)h
-1(ximation)h
13(in)h
15(all)h
14(cases,)h
15(w)h
-1(e)h
14(\014rst)h
15(set)h
15(the)h
14(co)h
1(e\016cien)h
-1(ts)h
13(and)h
113 1080(then)s
14(compute)h
12(the)h
13(result.)h
20(This)h
13(will)h
13(b)h
1(ecome)h
12(explicit)h
11(when)h
14(w)h
-1(e)h
13(handle)h
13(the)h
13(case)h
14(of)h
14(small)h
113 1140(v)s
-3(alues.)h
223 1201(Do)s
18(Co)h
1(dy's)h
17(appro)h
-1(ximation)h
15(for)h
17(small)h
39(-v)h
-3(alues.)h
119(12)h
223 1265(Set)s
17(the)h
16(co)h
1(e\016cien)h
-1(ts)h
15(for)h
16(the)h
16(small)h
15(v)h
-3(alue)h
16(appro)h
-1(ximation.)h
96(13)h
223 1325(Compute)s
66(for)h
17(small)h
39(-v)h
-3(alues.)h
98(14)h
234 1497(As)s
18(w)h
-1(as)h
19(said)h
19(b)h
1(efore)h
19(the)h
18(rational)h
19(function)h
18(used)h
19(is)h
18(of)h
19(order)h
52(=)h
18(3,)h
80(=)h
17(3.)h
29(The)h
113 1558(co)s
1(e\016cien)h
-1(ts)h
15(of)h
17(the)h
16(resp)h
1(ectiv)h
-1(e)h
14(p)h
1(olynomials)h
16(are)h
16(stored)h
16(in)h
57(and)h
45(.)h
223 1618(Set)s
17(the)h
16(co)h
1(e\016cien)h
-1(ts)h
15(for)h
16(the)h
16(small)h
15(v)h
-3(alue)h
16(appro)h
-1(ximation.)h
118(13)h
234 1975(The)s
16(appro)h
-1(ximation)h
15(is)h
16(done)h
17(according)h
16(to)h
17(the)h
16(follo)h
-1(wing)h
16(form)h
-1(ulas.)h
711 2104(\010\()s
25(\))h
42(=)h
936 2070(1)s
936 2138(2)s
990 2104(1)s
11(+)h
11(erf\()h
91(2\))h
691 2197(erf)s
-1(\()h
25(\))h
228(\()h
44(\))h
223 2380(Compute)s
66(for)h
17(small)h
39(-v)h
-3(alues.)h
119(14)h
282 2616(Jump)s
16(to)h
73(,)h
15(if)h
16(there)h
16(are)h
16(no)h
17(medium)h
38(-v)h
-3(alues.)h
119(15)h
25 2 936 2092 r
25 2 1240 2061 r
4 @eop
5 @bop0
ccapl10.360 sf
[<FFFFFFE0FFFFFFE0FFFFFFE00F0001E00F0000E00F0000E00F0000E00F0000700F0000
700F0070700F0070700F0070700F0070700F0070000F0070000FFFF0000FFFF0000FFFF0
000F0070000F0070000F00701C0F00701C0F00701C0F0070380F0000380F0000380F0000
380F0000380F0000380F0000780F0000F0FFFFFFF0FFFFFFF0FFFFFFF0>
32 34 -2 33 34] 69 dc
[<FFFFFEFFFFFE>
24 2 -3 12 30] 12 dc
5 @bop1
cmsy8.300 sf
1377 2408(\000)s
cmmi8.300 sf
1163 943(lm)s
1289 2436(lm)s
cmr8.300 sf
968 165(2)s
1088 915(2)s
993 2408(2)s
1227 2449(2)s
1404 2408(2)s
cmbx12.300 sf
113 537(16.)s
113 1711(17.)s
113 1946(18.)s
cmsy10.360 sf
965 843(f)s
35(\000)h
1220 799(p)s
1305 843(g)s
850 936(\031)s
135(\000)h
196 1114(h)s
1195(i)h
30(\021)h
255 1711(h)s
1087(i)h
29(\021)h
827 2312(f)s
35(\000)h
1082 2268(p)s
1167 2312(g)s
712 2429(\031)s
178(\000)h
63(f)h
1061 2427(p)s
1443 2429(g)s
196 2562(h)s
1128(i)h
29(\021)h
cmmi12.300 sf
887 183(\026;)s
8(\033)h
354 657(l)s
134(m)h
764 843(z)s
384(z)h
2(=)h
765 936(z)s
275(z)h
40(R)h
63(z)h
1051 1114(z)s
1002 1711(z)s
1012 1946(z)s
674 2066(l)s
145(m)h
626 2312(z)s
384(z)h
2(=)h
627 2429(z)s
797 2463(z)s
968 2429(z)s
1103 2463(\031)s
71(z)h
1252 2429(R)s
63(z)h
984 2562(z)s
cmsl12.300 sf
113 183(P)s
-1(art)h
17(1:)h
38(The)h
16(normal-distribution)h
15(N)h
cmr10.300 sf
196 428(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(4.)h
196 1602(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(4.)h
196 1837(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(4.)h
ccapl10.360 sf
196 366(\013\(0=\006i2\)\346L2)s
1156 597(P)s
317 718(a)s
111(b)h
196 1179(a\012\3351.3686485738271671E\3357)s
16(0.564195517478974)h
15(7.2117582508830935)h
279 1239(43.162227222056735)s
15(152.98928504694041)h
15(339.3208167343437)h
279 1299(451.91895371187293)s
15(300.45926102016161)h
196 1359(b\0121)s
17(12.782727319629473)h
15(77.00015293522947)h
15(277.58544474398764)h
279 1420(638.98026446563124)s
15(931.35409485060966)h
15(790.95092532789811)h
279 1480(300.45926095698333)s
196 1540(P[i2]\0121\0140.5\015\(\210\014z2[i2]\)\015\()s
1(zz[i2;]\260a)h
1(\)\016zz[i2;]\260b)h
479 1711(L3)s
196 1775(\013\(0=\006i3\)\346L3)s
676 1946(P)s
1449 2006(P)s
691 2127(a)s
122(b)h
196 2627(a\012\3350.02231924597341847)s
16(\3350.2786613086096478)h
16(\3350.22695659353968692)h
279 2687(\3350.049473091062325075)s
16(\3352.9961070770354215E\3353)h
cmr12.300 sf
868 183(\()s
100(\))h
855(5)h
234 537(The)s
20(further)h
20(computatation)h
19(go)h
1(es)h
21(on)h
21(in)h
20(the)h
19(same)h
19(manner.)h
32(First)h
20(w)h
-1(e)h
19(set)h
20(some)h
113 597(co)s
1(e\016cien)h
-1(ts,)h
16(then)h
16(w)h
-1(e)h
17(compute)h
15(the)h
17(corresp)h
1(onding)h
52(.)h
16(No)h
-1(w)h
16(the)h
17(rational)h
17(function)h
17(used)h
113 657(is)s
19(of)h
20(order)h
53(=)h
19(7,)h
81(=)h
19(7.)h
30(Again)h
19(the)h
19(co)h
1(e\016cien)h
-1(ts)h
18(of)h
20(the)h
18(resp)h
1(ectiv)h
-1(e)h
18(p)h
1(olynomials)h
18(are)h
113 718(stored)s
17(in)h
56(and)h
45(.)h
22(The)h
16(appro)h
-1(ximation)h
15(is)h
16(done)h
17(according)h
16(to)h
17(the)h
16(follo)h
-1(wing)h
16(form)h
-1(ulas.)h
710 843(\010\()s
25(\))h
42(=)h
935 809(1)s
935 877(2)s
990 843(2)s
61(erfc)h
-1(\()h
91(2\))h
668 936(erfc\()s
25(\))h
121(exp\()h
83(\))h
81(\()h
25(\))h
223 1114(Do)s
18(Co)h
1(dy's)h
17(appro)h
-1(ximation)h
15(for)h
17(medi)h
-1(um)h
38(-v)h
-3(alues.)h
119(16)h
282 1711(Jump)s
16(to)h
73(,)h
15(if)h
16(there)h
16(are)h
16(no)h
17(large)h
41(-v)h
-3(alues.)h
119(17)h
234 1946(A)s
-1(t)h
18(last)h
18(w)h
-1(e)h
18(compute)h
70(for)h
19(the)h
18(large)h
43(-v)h
-3(alues.)h
29(The)h
18(sc)h
-1(heme)h
17(is)h
18(as)h
19(b)h
1(efore.)h
28(First)h
113 2006(w)s
-1(e)h
19(set)h
19(some)h
18(co)h
1(e\016cien)h
-1(ts,)h
18(then)h
19(w)h
-1(e)h
19(compute)h
18(the)h
18(corresp)h
1(onding)h
55(.)h
18(Here)h
18(the)h
19(rational)h
113 2066(function)s
22(used)h
21(is)h
22(of)h
21(order)h
61(=)h
22(4,)h
89(=)h
22(4.)h
38(Again)h
21(the)h
22(co)h
1(e\016cien)h
-1(ts)h
20(of)h
21(the)h
22(resp)h
1(ectiv)h
-1(e)h
113 2127(p)s
1(olynomials)h
21(are)h
21(stored)h
22(in)h
67(and)h
51(.)h
37(The)h
21(appro)h
-1(ximation)h
21(is)h
21(done)h
22(according)h
21(to)h
22(the)h
113 2187(follo)s
-1(wing)h
16(form)h
-1(ulas.)h
572 2312(\010\()s
25(\))h
42(=)h
797 2278(1)s
797 2346(2)s
852 2312(2)s
61(erfc)h
-1(\()h
91(2\))h
530 2429(erfc\()s
25(\))h
798 2395(1)s
835 2429(exp\()s
83(\))h
1084 2395(1)s
1148 2429(+)s
1212 2395(1)s
1333 2429(\()s
72(\))h
223 2562(Do)s
18(Co)h
1(dy's)h
17(appro)h
-1(ximation)h
15(for)h
17(large)h
41(-v)h
-3(alues.)h
119(18)h
25 2 935 831 r
25 2 1262 799 r
25 2 797 2300 r
25 2 1124 2268 r
25 2 797 2417 r
71 2 1061 2417 r
30 2 1103 2427 r
45 2 1202 2417 r
5 @eop
6 @bop0
cmmi12.300 sf
[<007FFFFFC000078003C000078000C000078000C0000F0000C0000F0000C0000F000080
000F000080001E000080001E000080001E008080001E008000003C010000003C01000000
3C030000003C070000007FFE000000780600000078060000007806000000F004000000F0
04000000F004000000F000000001E000000001E000000001E000000001E000000003C000
000003C000000003C000000003C000000007C0000000FFFE000000>
40 34 -2 33 32] 70 dc
ccapl10.360 sf
[<1E000000FE000000FE000000FE0000000E0000000E0000000E0000000E0000000E0000
000E0000000E0000000E0000000E1F80000E7FE0000EFFF0000FC0F0000F8078000F0038
000E0038000E0038000E0038000E0038000E0038000E0038000E0038000E0038000E0038
000E0038000E0038000E0038000E0038000E003800FFE3FF80FFE3FF80FFE3FF80>
32 35 -1 34 28] 104 dc
6 @bop1
cmr8.300 sf
968 165(2)s
cmbx12.300 sf
113 719(19.)s
113 1196(20.)s
cmmi12.300 sf
887 183(\026;)s
8(\033)h
630 779(F)s
26(z)h
208(F)h
26(z)h
cmsy10.360 sf
864 779(\000)s
196 960(h)s
726(i)h
29(\021)h
196 1257(h)s
763(i)h
67(\021)h
cmsl12.300 sf
113 183(P)s
-1(art)h
17(1:)h
38(The)h
16(normal-distribution)h
15(N)h
cmr10.300 sf
196 609(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(4.)h
196 1086(This)s
14(co)h
1(de)h
15(is)h
14(used)h
14(in)h
14(section)h
14(4.)h
ccapl10.360 sf
196 366(b\0121)s
17(1.9873320181713526)h
15(1.051675107067932)h
15(0.19130892610782985)h
279 426(0.010620923052846794)s
196 487(h\012\(\016\(\2001\)\2100.5\)+\(\016z2[i3]\)\015\(h\260a)s
1(\)\016\(h\012\016zz2[i3;]\)\260b)h
196 547(P[i3]\0121\0140.5\015\(\(\210\014z2[i3]\))s
1(\016z[i3]\)\015h)h
762 719(P)s
933(z)h
1538 779(un)s
617 839(z)s
1098(P)h
113 900(un)s
196 1024(P\012\253un\014P)s
623 1257(VSNV)s
196 1321(h,a,b)s
cmr12.300 sf
868 183(\()s
100(\))h
855(6)h
234 719(Finally)s
-4(,)h
18(w)h
-1(e)h
19(m)h
-1(ust)h
17(adjust)h
73(for)h
19(negativ)h
-1(e)h
19(input)h
19(v)h
-3(alues,)h
19(for)h
19(w)h
-1(e)h
19(ha)h
-1(v)h
-1(e)h
18(set)h
61(to)h
19(its)h
113 779(magnitude.)s
44(W)h
-4(e)h
23(apply)h
63(\()h
25(\))h
27(=)h
26(1)h
111(\()h
25(\).)h
44(Our)h
24(binary)h
24(v)h
-3(ariable)h
103(con)h
-1(tains)h
24(the)h
113 839(information)s
14(w)h
-1(ether)h
15(the)h
52(w)h
-1(as)h
16(greater)h
15(0)h
15(or)h
16(not.)h
21(So)h
15(w)h
-1(e)h
15(only)h
15(ha)h
-1(v)h
-1(e)h
14(to)h
16(substract)h
64(from)h
186 900(and)s
16(tak)h
-1(e)h
16(the)h
16(magnitude)h
15(again)h
17(to)h
17(get)h
16(the)h
16(sign)h
17(righ)h
-1(t)h
16(again)h
17(for)h
16(p)h
1(ositiv)h
-1(e)h
16(v)h
-3(alues.)h
223 960(Do)s
18(the)h
16(\014nal)h
16(adjustmen)h
-1(ts.)h
118(19)h
234 1196(W)s
-4(e)h
16(should)h
16(mak)h
-1(e)h
15(some)h
15(more)h
15(v)h
-3(ariables)h
16(lo)h
1(cal.)h
223 1257(Lo)s
1(cal)h
18(V)h
-4(ariables)h
16(of)h
156(\(4\))h
97(10)h
42(+)h
6 @eop
7 @bop0
cmbx12.300 sf
[<003F8000FFC001E3E003C7E007C7E00F87E00F83C00F80000F80000F80000F80000F80
000F8000FFFC00FFFC000F80000F80000F80000F80000F80000F80000F80000F80000F80
000F80000F80000F80000F80000F80000F80000F80000F80000F80007FF8007FF800>
24 35 -1 34 17] 102 dc
[<00FF8007FFE00F83F01F03F03E03F07E03F07C01E07C0000FC0000FC0000FC0000FC00
00FC0000FC00007C00007E00007E00003E00301F00600FC0E007FF8000FE00>
24 22 -2 21 25] 99 dc
cmsl12.300 sf
[<001FC000607000803801003C02003C04001E04001E0F001E0F801E0F801E0F003E0600
3C00003C0000780000780000F00001E00001C0000380000700000E000018000030000060
0000C0000180100300100400100800201000203FFFE07FFFC0FFFFC0>
24 33 -2 32 24] 50 dc
[<0003E0000E30001C700038F000307000700000700000700000E00000E00000E00000E0
0000E00000E0003FFE0001C00001C00001C00001C00001C0000380000380000380000380
000380000380000700000700000700000700000700000700000E00000F0000FFF000>
24 35 -1 34 15] 102 dc
[<00FF000381C00603C00C03C01C0180380000780000700000F00000F00000F00000F000
00F00000E00000F00000F000807001007001003806001C180007E000>
24 21 -4 20 22] 99 dc
cmr12.300 sf
[<FFFFFFC00F8007C0078001C0078000C007800040078000400780006007800020078000
200780002007802020078020000780200007802000078060000780E00007FFE0000780E0
000780600007802000078020000780200007802008078000080780000807800010078000
1007800010078000300780003007800070078000E00F8003E0FFFFFFE0>
32 34 -2 33 33] 69 dc
[<70F8F8F870000000000000000000000070F8F8F87808080808101010204040>
8 31 -4 20 14] 59 dc
ccapl10.360 sf
[<007C0001FF000783C00E00E018003018003030001860000C60000C60000CC07C06C0FE
06C18306C30186C600C6C600C6FE00FEFE00FEC600C6C30186C18306C0FE06C07C06C000
06C00006C00006C00006C00006800002>
24 29 -3 28 30] 161 dc
7 @bop1
cmmi12.300 sf
898 487(<)s
235(>)h
590 607(<)s
202(>)h
898 1078(<)s
235(>)h
590 1198(<)s
202(>)h
cmbx12.300 sf
113 366(21.)s
81(The)h
118(-functions.)h
113 958(22.)s
cmsl12.300 sf
113 183(P)s
-1(art)h
17(2:)h
38(The)h
16(APL-functions)h
380 366(APL)s
cmr12.300 sf
1861 183(7)s
561 426(2)s
252 487(Initially)s
14(declared)h
15(in)h
16(WEB-\014le)h
54(norm1.a)h
-1(wb)h
38(,)h
15(line)h
15(18;)h
17(date:)h
21(T)h
-4(ue)h
16(Sep)h
16(29)h
279 547(12:12:43)s
18(1992)h
252 607(Main)s
16(WEB-\014le)h
53(w)h
-1(ork.a)h
-1(wb)h
422 667(:)s
15(2)h
252 727(2:)s
252 848(:2)s
557 1018(4)s
252 1078(Initially)s
14(declared)h
15(in)h
16(WEB-\014le)h
54(norm1.a)h
-1(wb)h
38(,)h
15(line)h
15(82;)h
17(date:)h
21(T)h
-4(ue)h
16(Sep)h
16(29)h
279 1138(12:12:43)s
18(1992)h
252 1198(Main)s
16(WEB-\014le)h
53(w)h
-1(ork.a)h
-1(wb)h
421 1259(:)s
15(4)h
252 1319(10:)s
22(i1,i2,i3,un,um)h
-1(,)h
-1(ul,)h
-1(z2,zz)h
-1(2,z,z)h
-1(z)h
252 1379(20:)s
22(h,a,b)h
252 1439(4:,)s
15(5:,)h
16(6:)h
252 1560(:6,)s
15(7:)h
252 1680(:7,)s
15(8:)h
252 1800(:8,)s
15(9:)h
252 1921(:9,)s
15(:5,)h
16(11:)h
252 2041(:11,)s
16(12:,)h
16(13:)h
252 2282(:13,)s
16(14:)h
252 2402(:14,)s
16(:12)h
252 2523(15:)s
252 2643(:15,)s
16(16:)h
ccapl10.360 sf
196 426(\214)s
17(R\012DSNV)h
17(Z)h
172 487(\241)s
172 607(\241)s
172 667(\241)s
50(\214DSNV)h
172 727(\241)s
196 788(R\012\(\210\3350.5\015Z\015Z\))s
1(\015\(\200)h
1(2\)\210\3350.5)h
172 848(\241)s
196 1018(\214)s
17(P\012VSNV)h
17(Z)h
172 1078(\241)s
172 1198(\241)s
172 1259(\241)s
50(\214VSNV)h
172 1319(\241)s
172 1379(\241)s
172 1439(\241)s
196 1499(P\012un\0120\246z\012,Z\0162\2100.5)s
16(\233)h
16(z\012\253z)h
172 1560(\241)s
196 1620(i3\012\(ul\012z\2444\)\346i)s
1(1\012\004\006z)h
172 1680(\241)s
196 1740(i2\012\(um\012z[i1]\2440.476875\)\346i1\012\(\337)s
1(ul\)\346)h
1(i1)h
172 1800(\241)s
196 1861(z2\012,zz2\012zz\015zz\012\()s
1(\(\006z\))h
1(,1\)\006z)h
172 1921(\241)s
196 1981(\013\(0=\006i1\012\(\337um\)\346i1\))s
1(\346L1)h
172 2041(\241)s
196 2101(a\012\3350.035609843701815386)s
16(6.9963834886191355)h
15(21.979261618294153)h
279 2162(242.66795523053176)s
196 2222(b\0121)s
17(15.082797630407788)h
15(91.1649054045149)h
15(215.0588758698612)h
172 2282(\241)s
196 2342(P[i1]\0120.5\0151+z[i1]\015\(zz2[i)s
1(1;]\260a\)\016zz2[i1;]\260b)h
172 2402(\241)s
172 2462(L1:)s
172 2523(\241)s
196 2583(\013\(0=\006i2\)\346L2)s
172 2643(\241)s
7 @eop
8 @bop0
ccapl10.360 sf
[<7FFFFFFC7FFFFFFC7FFFFFFC7003C01C7003C01C7003C01C7003C01CE003C00EE003C0
0EE003C00EE003C00EE003C00EE003C00E0003C0000003C0000003C0000003C0000003C0
000003C0000003C0000003C0000003C0000003C0000003C0000003C0000003C0000003C0
000003C0000003C0000003C0000003C00000FFFF0000FFFF0000FFFF00>
32 34 -2 33 36] 84 dc
[<FFFFFFC0FFFFFFC0>
32 2 -3 -1 33] 220 dc
[<03F00007FC000FFE001E0E00380300700300700380E00180FFFF80FFFF80FFFF80E000
00E00000E00000E000007000007000007803803C03801F07000FFE0007FC0001F800>
24 23 -2 22 22] 101 dc
[<FFC7FEFFC7FEFFC7FE0700E00381C003838001C38000E70000EE00007C00003C00003C
00007C00007E0000E70001C38001C3800381C00700E00700E0FFC3FFFFC3FFFFC3FF>
24 23 -1 22 27] 120 dc
[<1E0FE0FE7FF0FEFFF8FFE07C0F803E0F001E0F000E0E000F0E00070E00070E00070E00
070E00070E00070E00070F000F0F000E0F801E0F803C0FE0FC0EFFF80E3FF00E0FC00E00
000E00000E00000E00000E00000E00000E0000FFE000FFE000FFE000>
24 33 -1 22 28] 112 dc
[<0000F00007F00007F00007F00000700000700000700000700000700000700000700000
7003F0700FFE701FFF703E07F03C01F07800F07000F0F00070E00070E00070E00070E000
70E00070E00070E00070F000F07000F07001F07803F03E07F01FFF7F0FFC7F03F07F>
24 35 -2 34 28] 100 dc
8 @bop1
cmsl12.300 sf
113 183(P)s
-1(art)h
17(2:)h
38(The)h
16(APL-functions)h
cmr12.300 sf
1861 183(8)s
252 788(:16)s
252 908(17:)s
252 1028(:17,)s
16(18:)h
252 1450(:18)s
252 1570(19:)s
252 1690(:19,)s
16(:4)h
252 1811(Main)s
16(WEB-\014le:)h
20(w)h
-1(ork.a)h
-1(wb)h
ccapl10.360 sf
196 366(a\012\3351.3686485738271671E\3357)s
16(0.564195517478974)h
15(7.2117582508830935)h
279 426(43.162227222056735)s
15(152.98928504694041)h
15(339.3208167343437)h
279 487(451.91895371187293)s
15(300.45926102016161)h
196 547(b\0121)s
17(12.782727319629473)h
15(77.00015293522947)h
15(277.58544474398764)h
279 607(638.98026446563124)s
15(931.35409485060966)h
15(790.95092532789811)h
279 667(300.45926095698333)s
196 727(P[i2]\0121\0140.5\015\(\210\014z2[i2]\)\015\()s
1(zz[i2;]\260a)h
1(\)\016zz[i2;]\260b)h
172 788(\241)s
172 848(L2:)s
172 908(\241)s
196 968(\013\(0=\006i3\)\346L3)s
172 1028(\241)s
196 1088(a\012\3350.02231924597341847)s
16(\3350.2786613086096478)h
16(\3350.22695659353968692)h
279 1149(\3350.049473091062325075)s
16(\3352.9961070770354215E\3353)h
196 1209(b\0121)s
17(1.9873320181713526)h
15(1.051675107067932)h
15(0.19130892610782985)h
279 1269(0.010620923052846794)s
196 1329(h\012\(\016\(\2001\)\2100.5\)+\(\016z2[i3]\)\015\(h\260a)s
1(\)\016\(h\012\016zz2[i3;]\)\260b)h
196 1389(P[i3]\0121\0140.5\015\(\(\210\014z2[i3]\))s
1(\016z[i3]\)\015h)h
172 1450(\241)s
172 1510(L3:)s
172 1570(\241)s
196 1630(P\012\253un\014P)s
172 1690(\241)s
196 1751(T0\334expand)s
172 1811(\241)s
8 @eop
@end
|
