WNGZWZSS0110rqql? Geneva5r AUTOSAVE.WKZ"2 <d2   ` 8x8      X&0T@7 8 9  : !; "< #= $> %? &@ 'A (B )C *D +E ,F -G .H /I 0J 1K 2L  3M  4N  5O   6P ! " # $ % & '! (" )# *$ +% ,& -' .( /) 0* 1+ 2, 3- 4. 5/ 60 @~@+g@ /%2+g@ /%010+@p@ /%2+@p@ /%01.%0@~3@+g@ .%2+g@ .%010+@p@ .%2+@p@ .%01.%0@ 3@ @ ]@ @ }@ 3@/ 00.0..@~ 3@+g@.%2+g@.%010+@p@.%2+@p@.%01.%0@ ^@ @ @ M@/%1@30@ 3@30@/%0@ 4h@ f@ }@}0@ }@}0@ 4}@ Nh@ 2g@ a@ (b@  e@ _@ ! c@ "N`@ #_@ $@~%3@+g@ .%2+g@ .%010+@p@ .%2+@p@ .%01.%0@~&@+g@ .%2+g@ .%010+@p@ .%2+@p@ .%01.%0@'*@@f(@+g@%2+g@%010+@p@%2+@p@%01.%0@)}0@ *46@ +3@ ,3@ -x@ .N5@ /@ 0@ 1 @ 2 Geneva @  Geneva @  õGeneva @  Geneva @ N Geneva @  Geneva @  Geneva @  Geneva @  Geneva @  Geneva @)  Times New Roman @x Concentrations"Step-by-step calculation procedure @ &%.8 °?%.&1?%.=OD?%&1?%?Q?%I?v?%Jx?%HOZ?%=OD?%d.=~?%M+7b?% bSʫ?%6{?%8 °?% uH?%HS*ި?%^?%hd ?%0_?%Qx2v״?%j±?%? @ &%. uH?%.?Q?%.d.=~?%8 °?% uH?%HS*ި?%^?%hd ?%0_?%Qx2v״?%j±?%?%mos"q|?%gX?%xn?%O?%Ԅ?%!V0y?%yn?%p5a?%ljR?%0QX#C? @ &%.HS*ި?%.I?v?%.M+7b?% =OD?%d.=~?%M+7b?% bSʫ?%6{?%8 °?% uH?%HS*ި?%^?%hd ?%0_?%Qx2v״?%j±?%?%mos"q|?%gX?%xn?%O?% Ԅ? @0 %.^?%.8 °?%.Nʯ?4. Inverse of covariance matrix @` %.hd ?%. uH?%.?%!+@%!LR%!l0 @` %.0_?%.HS*ި?%.[?PB?%!DR%!:@@%!':*1 @` %.Qx2v״?%.^? @q %.mos"q|?%.?%.hd ?&(sometimes called the "pseudoinverse') @ &%.gX?%.[?PB?%.0_?%"L%"?%"VCcq?%"b/M?%"fI?%"ѭR?%"8ęZ?%":lE?%"t]?%"J}q?%"lѿ%"oF%"fs%"=I%"mqճ%""|ܢ^%",6RT%"uf&ڿ%"Tua%"WJJ?%"% ~?%"OR|?%"|%K?%" ?%" >ˠ?%"((-(? @ &%.xn?%.A+?%.Qx2v״?%"тd%" TU%"p\\%"^&˨%":C?%"\?%":*-P?%"Ȱ ?%"a A@%"x-m@%"On@%"?%"9=!y?%"XqC{?%"~a?%"s*$ҋ%"ATٿ%"IM%" jV%":kԹ%"tŪ64%"W e%"zT%"xb#?޿%"rݭֿ%"_R@п @ & Noise%.O?%.`?%.j±?% "':^'@%"FK?%"(Zv&?%",Q.տ%"A %"{uI%"|F^rD%"ϔ%"/%">1I%"(?%"?%"']"H?%"O?%"05 ?%"%7?%"1k-)?%"g(`?%"Iw*?%"?%"50w?%"l#tvp%".qؿ%"}&%"_% "BY^?%.? Observed spectrum A @   Component 1 Component 2 Component 3 Version 1.1, June 2000%.!V0y?%.hd ?%.mos"q|?%$@q?%#b>{? @ Actual concentrations@?:&oe?%.yn?%.0_?%.gX?%$}cڲ?%#q ? @ Measured concentrations%b>{?% q ?%-5wښ?%.p5a?%.Qx2v״?%.xn?%$V4U?% #5wښ? @  Relative percent error%2wF%2#8i?% 2R??%.ljR?%.j±?%.O?%$Hce~?6. Above matrix multiplied by A @width% @% ?Spectral Difference Index = 4@% .0QX#C?%.?% .Ԅ?%$f|2?0results in the (measured) concentration matrix C @ @V ?0#1?0#2?MbP?0#3?%$Vo@? @ i@% @q?%i@%&8 °?%i@%&1?%}HG?%i@%(=OD?%$O}d? @ %'i@% }cڲ?%i@%& uH?%i@%?Q?%-\ YF?%i@%(d.=~?%$czQ? @ %'j@% V4U?%j@%&HS*ި?%j@%I?v?%^MKc10%j@%(M+7b?%$ѷ_Ն? @ %'j@% Hce~?%j@%&%j@%( bSʫ?%$D7? @! %'k@% f|2?%k@%&:wx?%k@%HOZ?% u9%k@%(6{?%$>B? @" %'k@% Vo@?%k@%&Nʯ?%k@%=OD?%l&.Q?O?%k@%(8 °?%$lV? @# %'l@% O}d?%l@%&?%l@%d.=~?% 9%l@%( uH?%$@h? @$ %'l@% czQ?%l@%&[?PB?%l@%M+7b?%/M%l@%(HS*ި?%$^bT? @% %'m@% ѷ_Ն?%m@%&A+?%m@% bSʫ?%i??%m@%(B?%n@%&u>^?%n@%8 °?%krS5?%n@%(Nʯ?%$[\o? @( %'n@% lV?%n@%&hd ?%n@% uH?%'栕 BC?%n@%(?%$SԖn? @) %'o@% @h?%o@%&0_?%o@%HS*ި?%!0=)?%o@%([?PB?%$0[? @* %'o@% ^bT?%o@%&Qx2v״?%o@%^?%$t'? @- %'p@% [\o?%p@%&mos"q|?%p@%?%׮@?%p@%(hd ?%$o&u? @. %'p@% SԖn?%p@%&gX?%p@%[?PB?%X(W) %p@%(0_?%$Г*? @/ %'q@% 0[?%q@%&xn?%q@%A+?%蛏.%q@%(Qx2v״?%$gtC? @0 %'@q@% ‰_̘\?%@q@%&O?%@q@%`?% ?sA?%@q@%(j±?% $=? @1%'q@% Ez?%q@%&Ԅ?%q@%u>^?%TS|>%q@%(? @2%'q@% t'?%q@%&!V0y?%q@%hd ?%5Zp%q@%(mos"q|? @3%'r@% o&u?%r@%&yn?%r@%0_?%RO%G?%r@%(gX? @4%'@r@% Г*?%@r@%&p5a?%@r@%Qx2v״?%NBԾ%@r@%(xn? @5%'r@% gtC?%r@%&ljR?%r@%j±?%Y?9I%r@%(O? @6%'r@% =?%r@%&0QX#C?%r@%?%1%r@%(Ԅ? @T7%/8 °?%0&1?%1=OD? @08%/ uH?%0?Q?%1d.=~? @09%/HS*ި?%0I?v?%1M+7b? @0:%/%/[?PB?%0M+7b?%1HS*ި? @0?%/A+?%0 bSʫ?%1^?%08 °?%1Nʯ? @0B%/hd ?%0 uH?%1? @0C%/0_?%0HS*ި?%1[?PB? @0D%/Qx2v״?%0^? @0G%/mos"q|?%0?%1hd ? @0H%/gX?%0[?PB?%10_? @0I%/xn?%0A+?%1Qx2v״? @0J%/O?%0`?%1j±? @0K%/Ԅ?%0u>^?%1? @0L%/!V0y?%0hd ?%1mos"q|? @0M%/yn?%00_?%1gX? @0N%/p5a?%0Qx2v״?%1xn? @0O%/ljR?%0j±?%1O? @0P%/0QX#C?%0?%1Ԅ? @j&1??Q?I?v?Jx?HOZ?=OD?d.=~?M+7b? bSʫ?6{?8 °? uH?HS*ި?^?hd ?0_?Qx2v״?j±?? @k8 °? uH?HS*ި?^?hd ?0_?Qx2v״?j±??mos"q|?gX?xn?O?Ԅ?!V0y?yn?p5a?ljR?0QX#C? @l=OD?d.=~?M+7b? bSʫ?6{?8 °? uH?HS*ި?^?hd ?0_?Qx2v״?j±??mos"q|?gX?xn?O?Ԅ? @`mJx?ˠ?((-(? @t8 °?u>^?Nʯ?тd TUp\\^&˨:C?\?:*-P?Ȱ ?a A@x-m@On@?9=!y?XqC{?~a?s*$ҋATٿIM jV:kԹtŪ64W ezTxb#?޿rݭֿ_R@п @u+ uH?hd ??':^'@FK?(Zv&?,Q.տA {uI|F^rDϔ/>1I(??']"H?O?05 ?%7?1k-)?g(`?Iw*??50w?l#tvp.qؿ}&_BY{? @w+^? @z+?mos"q|?hd ? @{+[?PB?gX?0_? @|+A+?xn?Qx2v״? @}+`?O?j±? @~+u>^?Ԅ?? @+hd ?!V0y?mos"q|? @+0_?yn?gX? @+Qx2v״?p5a?xn? @+j±?ljR?O? @+?0QX#C?Ԅ? @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @+ @X+%i@%8 ?%i@%&1?%i@%@q?%i@%)勤? @X+%i@% uH?%i@%?Q?%i@%}cڲ?%i@%)z7$ ? @X+%j@%HS*޸?%j@%I?v?%j@%V4U?%j@%)& Q? @X+%j@%^?%n@%8 °?%n@%>B?%n@%)h&X1? @X+%n@%hd ?%n@% uH?%n@%lV?%n@%)+vK4? @X+%o@%0_?%o@%HS*ި?%o@%@h?%o@%)0۴? @X+%o@%Qx2v?%o@%^?%q@%Ez?%q@%)]=u^? @X+%q@%!V0Ɖ?%q@%hd ?%q@%t'?%q@%){o? @X+%r@%y~?%r@%0_?%r@%o&u?%r@%)Mc? @X+%@r@%p5q?%@r@%Qx2v״?%@r@%Г*?%@r@%):^ D? @X+%r@%ljb?%r@%j±?%r@%gtC?%r@%)VǓ? @X+%r@%0QX#S?%r@%?%r@%=?%r@%)zo? @+ @+ @+5 System Helv Helv((4 System Helv Helv((3@]   System Helv@3 Helv((20 System Helv@2 Helv((10, System Helv@1 Helv((0zf+~|ii@r@$@$@?$@ $@ <22@2((P(  VertSlider2/PP!  &&&&&$ VertSlider2put ctvalue("VertSlider2",0) into F25 Chicago Geneva:&oe?@?@   NoiseSlider,5 &&&&&$ NoiseSliderput ctvalue("NoiseSlider",0) into G29 Chicago GenevaMbP?MbP??MbP?&jl Chicago Geneva@,eSymbol((%+b Chicago Geneva@,-1 Symbol((#0PM Chicago Geneva@,T Symbol(("+EZ Chicago Geneva@,T Symbol((O0  Chicago Geneva @,5. (e e)Symbol Symbol Symbol((<   Chicago Geneva@,T Symbol((@l   Chicago Geneva@,-1 Symbol((2+   Chicago Geneva@,(e e)Symbol Symbol((J Chicago Geneva@,T Symbol((Z Chicago Geneva@,T Symbol((2+ҥ Chicago Geneva@,e eSymbol Symbol((>  ChicagoSymbol@,2. Transpose of e matrix (e )  GenevaSymbol((`P  Chicago Symbol @,1. e matrix GenevaSymbol Symbol Symbol((1 Chicago Geneva@,Wavelength, nm Geneva((  HorizSlider+{ '''''% HorizSlider3 put ctvalue("HorizSlider3",0) into J28 Chicago Geneva4@44@?D@  VertSlider2PPo&&&&&$ VertSlider2put ctvalue("VertSlider2",0) into E25 Chicago Geneva?@?@   VertSliderPpC&&&&&$ VertSlider2put ctvalue("VertSlider2",0) into D25 Chicago Geneva@@?@ Computeal Least   Compute&&&& 7Pj jl 7Pm mop pr jls su 6vrepaint off select range A56..C81 Copy select range C107 paste values Transpose select range C107..AB109 select more range A56..C81 select more range F110 Multiply select range F110..H112 select more range F113 Invert select range F113..H115 select more range C107..AB109 select more range F116 Multiply select range F116..AE118 select more range B30..B55 select more range F119 Multiply recalc repaint on select range A1 4 Chicago ChicagoC