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Diffstat (limited to 'libgeometry/doc/libgeometry.ps')
| -rw-r--r-- | libgeometry/doc/libgeometry.ps | 2799 |
1 files changed, 0 insertions, 2799 deletions
diff --git a/libgeometry/doc/libgeometry.ps b/libgeometry/doc/libgeometry.ps deleted file mode 100644 index 635b9cd..0000000 --- a/libgeometry/doc/libgeometry.ps +++ /dev/null @@ -1,2799 +0,0 @@ -%!PS-Adobe-2.0 -%%Version: 0.1 -%%Creator: troff, Plan 9 edition -%%DocumentFonts: (atend) -%%Pages: (atend) -%%EndComments -% -% Version 3.3.2 prologue for troff files. -% - -/#copies 1 store -/aspectratio 1 def -/formsperpage 1 def -/landscape false def -/linewidth .3 def -/magnification 1 def -/margin 0 def -/orientation 0 def -/resolution 720 def -/rotation 1 def -/xoffset 0 def -/yoffset 0 def - -/roundpage true def -/useclippath true def -/pagebbox [0 0 612 792] def - -/R /Times-Roman def -/I /Times-Italic def -/B /Times-Bold def -/BI /Times-BoldItalic def -/H /Helvetica def -/HI /Helvetica-Oblique def -/HB /Helvetica-Bold def -/HX /Helvetica-BoldOblique def -/CW /Courier def -/CO /Courier def -/CI /Courier-Oblique def -/CB /Courier-Bold def -/CX /Courier-BoldOblique def -/PA /Palatino-Roman def -/PI /Palatino-Italic def -/PB /Palatino-Bold def -/PX /Palatino-BoldItalic def -/Hr /Helvetica-Narrow def -/Hi /Helvetica-Narrow-Oblique def -/Hb /Helvetica-Narrow-Bold def -/Hx /Helvetica-Narrow-BoldOblique def -/KR /Bookman-Light def -/KI /Bookman-LightItalic def -/KB /Bookman-Demi def -/KX /Bookman-DemiItalic def -/AR /AvantGarde-Book def -/AI /AvantGarde-BookOblique def -/AB /AvantGarde-Demi def -/AX /AvantGarde-DemiOblique def -/NR /NewCenturySchlbk-Roman def -/NI /NewCenturySchlbk-Italic def -/NB /NewCenturySchlbk-Bold def -/NX /NewCenturySchlbk-BoldItalic def -/ZD /ZapfDingbats def -/ZI /ZapfChancery-MediumItalic def -/S /S def -/S1 /S1 def -/GR /Symbol def - -/inch {72 mul} bind def -/min {2 copy gt {exch} if pop} bind def - -/setup { - counttomark 2 idiv {def} repeat pop - - landscape {/orientation 90 orientation add def} if - /scaling 72 resolution div def - linewidth setlinewidth - 1 setlinecap - - pagedimensions - xcenter ycenter translate - orientation rotation mul rotate - width 2 div neg height 2 div translate - xoffset inch yoffset inch neg translate - margin 2 div dup neg translate - magnification dup aspectratio mul scale - scaling scaling scale - - addmetrics - 0 0 moveto -} def - -/pagedimensions { - useclippath userdict /gotpagebbox known not and { - /pagebbox [clippath pathbbox newpath] def - roundpage currentdict /roundpagebbox known and {roundpagebbox} if - } if - pagebbox aload pop - 4 -1 roll exch 4 1 roll 4 copy - landscape {4 2 roll} if - sub /width exch def - sub /height exch def - add 2 div /xcenter exch def - add 2 div /ycenter exch def - userdict /gotpagebbox true put -} def - -/addmetrics { - /Symbol /S null Sdefs cf - /Times-Roman /S1 StandardEncoding dup length array copy S1defs cf -} def - -/pagesetup { - /page exch def - currentdict /pagedict known currentdict page known and { - page load pagedict exch get cvx exec - } if -} def - -/decodingdefs [ - {counttomark 2 idiv {y moveto show} repeat} - {neg /y exch def counttomark 2 idiv {y moveto show} repeat} - {neg moveto {2 index stringwidth pop sub exch div 0 32 4 -1 roll widthshow} repeat} - {neg moveto {spacewidth sub 0.0 32 4 -1 roll widthshow} repeat} - {counttomark 2 idiv {y moveto show} repeat} - {neg setfunnytext} -] def - -/setdecoding {/t decodingdefs 3 -1 roll get bind def} bind def - -/w {neg moveto show} bind def -/m {neg dup /y exch def moveto} bind def -/done {/lastpage where {pop lastpage} if} def - -/f { - dup /font exch def findfont exch - dup /ptsize exch def scaling div dup /size exch def scalefont setfont - linewidth ptsize mul scaling 10 mul div setlinewidth - /spacewidth ( ) stringwidth pop def -} bind def - -/changefont { - /fontheight exch def - /fontslant exch def - currentfont [ - 1 0 - fontheight ptsize div fontslant sin mul fontslant cos div - fontheight ptsize div - 0 0 - ] makefont setfont -} bind def - -/sf {f} bind def - -/cf { - dup length 2 idiv - /entries exch def - /chtab exch def - /newencoding exch def - /newfont exch def - - findfont dup length 1 add dict - /newdict exch def - {1 index /FID ne {newdict 3 1 roll put}{pop pop} ifelse} forall - - newencoding type /arraytype eq {newdict /Encoding newencoding put} if - - newdict /Metrics entries dict put - newdict /Metrics get - begin - chtab aload pop - 1 1 entries {pop def} for - newfont newdict definefont pop - end -} bind def - -% -% A few arrays used to adjust reference points and character widths in some -% of the printer resident fonts. 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So far the only exception is a VT600 (version 48.0). -% - -userdict /@RealFindfont known not { - userdict begin - /@RealFindfont systemdict begin /findfont load end def - end -} if - -/findfont { - dup NewFontDirectory exch known not { - dup - %dup systemdict /findfont get exec % not always in systemdict - dup userdict /@RealFindfont get exec - dup /Encoding get StandardEncoding eq { - dup length dict begin - {1 index /FID ne {def}{pop pop} ifelse} forall - /Encoding ISOLatin1Encoding def - currentdict - end - /DummyFontName exch definefont - } if - NewFontDirectory 3 1 roll put - } if - NewFontDirectory exch get -} bind def - -%%Patch from lp -%%EndPatch from lp - -setup -%%EndSetup -%%Page: 1 1 -/saveobj save def -mark -1 pagesetup -12 /LucidaSans-Demi f -(libgeometry) 2507 1220 w -10 /LucidaSans-Italic f -(Rodrigo G. 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720 4746 w -(Point3) 962 4746 w -9 /LucidaTypewriter f -(struct) 920 4916 w -(Point3) 1375 4916 w -({) 1830 4916 w -(double) 1440 5026 w -(x,) 1895 5026 w -(y,) 2090 5026 w -(z,) 2285 5026 w -(w;) 2480 5026 w -(};) 920 5136 w -10 /LucidaSans-Italic f -(Point3) 970 5352 w -10 /LucidaSansUnicode00 f -(is a point in three-dimensional projective space.) 1309 5352 w -10 /LucidaSans-Demi f -(1.3.) 720 5592 w -(Matrix) 962 5592 w -9 /LucidaTypewriter f -(typedef) 920 5762 w -(double) 1440 5762 w -(Matrix[3][3];) 1895 5762 w -10 /LucidaSans-Italic f -(Matrix) 970 5978 w -10 /LucidaSansUnicode00 f -(represents) 1341 5978 w -(a) 1914 5978 w -(3x3) 2028 5978 w -(matrix,) 2274 5978 w -(thought) 2681 5978 w -(to) 3123 5978 w -(compose) 3280 5978 w -(affine) 3775 5978 w -(transformations) 4110 5978 w -(to) 4942 5978 w -(apply to homogeneous 2D points.) 720 6098 w -10 /LucidaSans-Demi f -(1.4.) 720 6338 w -(Matrix3) 962 6338 w -9 /LucidaTypewriter f -(typedef) 920 6508 w -(double) 1440 6508 w -(Matrix3[4][4];) 1895 6508 w -10 /LucidaSans-Italic f -(Matrix3) 970 6724 w -10 /LucidaSansUnicode00 f -(represents) 1398 6724 w -(a) 1964 6724 w -(4x4) 2071 6724 w -(matrix,) 2310 6724 w -(thought) 2711 6724 w -(to) 3147 6724 w -(compose) 3298 6724 w -(affine) 3787 6724 w -(transformations) 4116 6724 w -(to) 4942 6724 w -(apply to homogeneous 3D points.) 720 6844 w -8 /S1 f -(__________________) 720 6980 w -8 /LucidaSansUnicode00 f -(ACHTUNG!) 720 7080 w -(this) 1163 7080 w -(is) 1333 7080 w -(a) 1423 7080 w -8 /LucidaSans-Demi f -(WORK) 1493 7080 w -(IN) 1769 7080 w -(PROGRESS) 1883 7080 w -cleartomark -showpage -saveobj restore -%%EndPage: 1 1 -%%Page: 2 2 -/saveobj save def -mark -2 pagesetup -10 /LucidaSansUnicode00 f -(\255 2 \255) 2783 480 w -10 /LucidaSans-Demi f -(1.5.) 720 840 w -(Quaternion) 962 840 w -9 /LucidaTypewriter f -(struct) 920 1010 w -(Quaternion) 1375 1010 w -({) 2090 1010 w -(double) 1440 1120 w -(r,) 1895 1120 w -(i,) 2090 1120 w -(j,) 2285 1120 w -(k;) 2480 1120 w -(};) 920 1230 w -10 /LucidaSans-Italic f -(Quaternions) 970 1446 w -10 /LucidaSansUnicode00 f -(are) 1623 1446 w -(a) 1829 1446 w -(numbering) 1938 1446 w -(system) 2522 1446 w -(that) 2916 1446 w -(extends) 3161 1446 w -(the) 3601 1446 w -(complex) 3810 1446 w -(numbers) 4279 1446 w -(up) 4762 1446 w -(to) 4942 1446 w -(four-dimensional) 720 1566 w -(space,) 1607 1566 w -(and) 1953 1566 w -(are) 2171 1566 w -(used) 2361 1566 w -(to) 2631 1566 w -(apply) 2767 1566 w -(rotations) 3067 1566 w -(and) 3539 1566 w -(model) 3757 1566 w -(mechanical) 4096 1566 w -(interac\255) 4676 1566 w -(tions) 720 1686 w -(in) 1015 1686 w -(3D) 1161 1686 w -(space.) 1354 1686 w -(Their) 1749 1686 w -(main) 2055 1686 w -(advantages) 2349 1686 w -(with) 2952 1686 w -(respect) 3212 1686 w -(to) 3622 1686 w -(their) 3775 1686 w -(matrix) 4055 1686 w -(relatives) 4426 1686 w -(are) 4888 1686 w -(increased computational and storage performance and gimbal lock avoidance.) 720 1806 w -10 /LucidaSans-Demi f -(2.) 720 2046 w -(Algorithms) 873 2046 w -(2.1.) 720 2286 w -(Point2) 962 2286 w -(Addition) 720 2526 w -9 /LucidaTypewriter f -(Point2) 920 2696 w -(addpt2\(Point2) 1375 2696 w -(a,) 2285 2696 w -(Point2) 2480 2696 w -(b\)) 2935 2696 w -10 /LucidaSansUnicode00 f -(a) 2051 2971 w -10 /S f -(+) 2122 2971 w -10 /LucidaSansUnicode00 f -(b) 2193 2971 w -10 /S f -(=) 2312 2971 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2431 2934 w -(\356) 2431 3034 w -10 /LucidaSansUnicode00 f -(x) 2480 2971 w -7 /LucidaSansUnicode00 f -(a) 2552 2991 w -10 /S f -(+) 2615 2971 w -10 /LucidaSansUnicode00 f -(x) 2686 2971 w -7 /LucidaSansUnicode00 f -(b) 2758 2991 w -10 /LucidaSansUnicode00 f -(,) 2818 2971 w -(y) 2898 2971 w -7 /LucidaSansUnicode00 f -(a) 2961 2991 w -10 /S f -(+) 3024 2971 w -10 /LucidaSansUnicode00 f -(y) 3095 2971 w -7 /LucidaSansUnicode00 f -(b) 3158 2991 w -10 /LucidaSansUnicode00 f -(,) 3218 2971 w -(w) 3298 2971 w -7 /LucidaSansUnicode00 f -(a) 3386 2991 w -10 /S f -(+) 3449 2971 w -10 /LucidaSansUnicode00 f -(w) 3520 2971 w -7 /LucidaSansUnicode00 f -(b) 3608 2991 w -10 /S f -(\374) 3660 2934 w -(\376) 3660 3034 w -10 /LucidaSans-Demi f -(Substraction) 720 3326 w -9 /LucidaTypewriter f -(Point2) 920 3496 w -(subpt2\(Point2) 1375 3496 w -(a,) 2285 3496 w -(Point2) 2480 3496 w -(b\)) 2935 3496 w -10 /LucidaSansUnicode00 f -(a) 2051 3771 w -10 /S f -(-) 2122 3771 w -10 /LucidaSansUnicode00 f -(b) 2193 3771 w -10 /S f -(=) 2312 3771 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2431 3734 w -(\356) 2431 3834 w -10 /LucidaSansUnicode00 f -(x) 2480 3771 w -7 /LucidaSansUnicode00 f -(a) 2552 3791 w -10 /S f -(-) 2615 3771 w -10 /LucidaSansUnicode00 f -(x) 2686 3771 w -7 /LucidaSansUnicode00 f -(b) 2758 3791 w -10 /LucidaSansUnicode00 f -(,) 2818 3771 w -(y) 2898 3771 w -7 /LucidaSansUnicode00 f -(a) 2961 3791 w -10 /S f -(-) 3024 3771 w -10 /LucidaSansUnicode00 f -(y) 3095 3771 w -7 /LucidaSansUnicode00 f -(b) 3158 3791 w -10 /LucidaSansUnicode00 f -(,) 3218 3771 w -(w) 3298 3771 w -7 /LucidaSansUnicode00 f -(a) 3386 3791 w -10 /S f -(-) 3449 3771 w -10 /LucidaSansUnicode00 f -(w) 3520 3771 w -7 /LucidaSansUnicode00 f -(b) 3608 3791 w -10 /S f -(\374) 3660 3734 w -(\376) 3660 3834 w -10 /LucidaSans-Demi f -(Multiplication) 720 4126 w -9 /LucidaTypewriter f -(Point2) 920 4296 w -(mulpt2\(Point2) 1375 4296 w -(p,) 2285 4296 w -(double) 2480 4296 w -(s\)) 2935 4296 w -10 /LucidaSansUnicode00 f -(p) 2395 4536 w -(*) 2466 4536 w -(s) 2522 4536 w -10 /S f -(=) 2629 4536 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2748 4499 w -(\356) 2748 4599 w -10 /LucidaSansUnicode00 f -(xs) 2797 4546 w -(,) 2917 4546 w -(ys) 2997 4546 w -(,) 3108 4546 w -(ws) 3188 4546 w -10 /S f -(\374) 3316 4499 w -(\376) 3316 4599 w -10 /LucidaSans-Demi f -(Division) 720 4841 w -9 /LucidaTypewriter f -(Point2) 920 5011 w -(divpt2\(Point2) 1375 5011 w -(p,) 2285 5011 w -(double) 2480 5011 w -(s\)) 2935 5011 w -10 /LucidaSansUnicode00 f -(p) 2394 5336 w -(/) 2465 5336 w -(s) 2526 5336 w -10 /S f -(=) 2633 5336 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2752 5249 w -(\357) 2752 5349 w -(\356) 2752 5449 w -10 /LucidaSansUnicode00 f -(s) 2831 5406 w -(x) 2826 5276 w -10 /S1 f -(_) 2811 5306 w -(_) 2852 5306 w -10 /LucidaSansUnicode00 f -(,) 2920 5336 w -(s) 3025 5406 w -(y) 3025 5276 w -10 /S1 f -(_) 3010 5306 w -(_) 3042 5306 w -10 /LucidaSansUnicode00 f -(,) 3110 5336 w -(s) 3228 5406 w -(w) 3215 5276 w -10 /S1 f -(_) 3200 5306 w -(__) 3207 5306 w -10 /S f -(\374) 3317 5249 w -(\357) 3317 5349 w -(\376) 3317 5449 w -10 /LucidaSans-Demi f -(Vector Dot Product) 720 5741 w -9 /LucidaTypewriter f -(double) 920 5911 w -(dotvec2\(Point2) 1375 5911 w -(a,) 2350 5911 w -(Point2) 2545 5911 w -(b\)) 3000 5911 w -10 /LucidaSansUnicode00 f -(a) 2375 6156 w -7 /LucidaSansUnicode21 f -(\222) 2370 6106 w -10 /LucidaSansUnicode00 f -10 /LucidaSansUnicode20 f -(") 2479 6156 w -10 /LucidaSansUnicode00 f -(b) 2583 6156 w -7 /LucidaSansUnicode21 f -(\222) 2582 6081 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2703 6156 w -10 /LucidaSansUnicode00 f -(x) 2814 6156 w -7 /LucidaSansUnicode00 f -(a) 2886 6176 w -10 /LucidaSansUnicode00 f -(x) 2941 6156 w -7 /LucidaSansUnicode00 f -(b) 3013 6176 w -10 /S f -(+) 3081 6156 w -10 /LucidaSansUnicode00 f -(y) 3152 6156 w -7 /LucidaSansUnicode00 f -(a) 3215 6176 w -10 /LucidaSansUnicode00 f -(y) 3270 6156 w -7 /LucidaSansUnicode00 f -(b) 3333 6176 w -10 /LucidaSans-Demi f -(Vector Magnitude/Length) 720 6456 w -9 /LucidaTypewriter f -(double) 920 6626 w -(vec2len\(Point2) 1375 6626 w -(v\)) 2350 6626 w -10 /LucidaSansUnicode00 f -(|) 2509 6901 w -(v) 2557 6884 w -7 /LucidaSansUnicode21 f -(\222) 2550 6834 w -10 /LucidaSansUnicode00 f -(|) 2609 6901 w -10 /S f -(=) 2705 6884 w -10 /LucidaSansUnicode00 f -12 /LucidaSansUnicode22 f -(\032) 2816 6884 w -12 /S f -(`) 2913 6884 w -(`````) 2943 6884 w -10 /LucidaSansUnicode00 f -(x) 2921 6884 w -7 /LucidaSansUnicode00 f -(2) 2987 6844 w -10 /S f -(+) 3055 6884 w -10 /LucidaSansUnicode00 f -(y) 3126 6884 w -7 /LucidaSansUnicode00 f -(2) 3183 6844 w -cleartomark -showpage -saveobj restore -%%EndPage: 2 2 -%%Page: 3 3 -/saveobj save def -mark -3 pagesetup -10 /LucidaSansUnicode00 f -(\255 3 \255) 2783 480 w -10 /LucidaSans-Demi f -(Vector Normalization) 720 840 w -9 /LucidaTypewriter f -(Point2) 920 1010 w -(normvec2\(Point2) 1375 1010 w -(v\)) 2415 1010 w -10 /LucidaSansUnicode00 f -(n) 2502 1335 w -7 /LucidaSansUnicode21 f -(\222) 2500 1285 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2620 1335 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2739 1248 w -(\357) 2739 1348 w -(\356) 2739 1448 w -10 /LucidaSansUnicode00 f -(|) 2813 1447 w -(v) 2861 1430 w -7 /LucidaSansUnicode21 f -(\222) 2854 1380 w -10 /LucidaSansUnicode00 f -(|) 2913 1447 w -(x) 2841 1275 w -10 /S1 f -(_) 2799 1305 w -(__) 2845 1305 w -10 /LucidaSansUnicode00 f -(,) 2963 1335 w -(|) 3068 1447 w -(v) 3116 1430 w -7 /LucidaSansUnicode21 f -(\222) 3109 1380 w -10 /LucidaSansUnicode00 f -(|) 3168 1447 w -(y) 3100 1275 w -10 /S1 f -(_) 3053 1305 w -(__) 3099 1305 w -10 /S f -(\374) 3209 1248 w -(\357) 3209 1348 w -(\376) 3209 1448 w -10 /LucidaSans-Demi f -(2.2.) 720 1740 w -(Point3) 962 1740 w -(Addition) 720 1980 w -9 /LucidaTypewriter f -(Point3) 920 2150 w -(addpt3\(Point3) 1375 2150 w -(a,) 2285 2150 w -(Point3) 2480 2150 w -(b\)) 2935 2150 w -10 /LucidaSansUnicode00 f -(a) 1846 2425 w -10 /S f -(+) 1917 2425 w -10 /LucidaSansUnicode00 f -(b) 1988 2425 w -10 /S f -(=) 2107 2425 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2226 2388 w -(\356) 2226 2488 w -10 /LucidaSansUnicode00 f -(x) 2275 2425 w -7 /LucidaSansUnicode00 f -(a) 2347 2445 w -10 /S f -(+) 2410 2425 w -10 /LucidaSansUnicode00 f -(x) 2481 2425 w -7 /LucidaSansUnicode00 f -(b) 2553 2445 w -10 /LucidaSansUnicode00 f -(,) 2613 2425 w -(y) 2693 2425 w -7 /LucidaSansUnicode00 f -(a) 2756 2445 w -10 /S f -(+) 2819 2425 w -10 /LucidaSansUnicode00 f -(y) 2890 2425 w -7 /LucidaSansUnicode00 f -(b) 2953 2445 w -10 /LucidaSansUnicode00 f -(,) 3013 2425 w -(z) 3093 2425 w -7 /LucidaSansUnicode00 f -(a) 3161 2445 w -10 /S f -(+) 3224 2425 w -10 /LucidaSansUnicode00 f -(z) 3295 2425 w -7 /LucidaSansUnicode00 f -(b) 3363 2445 w -10 /LucidaSansUnicode00 f -(,) 3423 2425 w -(w) 3503 2425 w -7 /LucidaSansUnicode00 f -(a) 3591 2445 w -10 /S f -(+) 3654 2425 w -10 /LucidaSansUnicode00 f -(w) 3725 2425 w -7 /LucidaSansUnicode00 f -(b) 3813 2445 w -10 /S f -(\374) 3865 2388 w -(\376) 3865 2488 w -10 /LucidaSans-Demi f -(Substraction) 720 2780 w -9 /LucidaTypewriter f -(Point3) 920 2950 w -(subpt3\(Point3) 1375 2950 w -(a,) 2285 2950 w -(Point3) 2480 2950 w -(b\)) 2935 2950 w -10 /LucidaSansUnicode00 f -(a) 1846 3225 w -10 /S f -(-) 1917 3225 w -10 /LucidaSansUnicode00 f -(b) 1988 3225 w -10 /S f -(=) 2107 3225 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2226 3188 w -(\356) 2226 3288 w -10 /LucidaSansUnicode00 f -(x) 2275 3225 w -7 /LucidaSansUnicode00 f -(a) 2347 3245 w -10 /S f -(-) 2410 3225 w -10 /LucidaSansUnicode00 f -(x) 2481 3225 w -7 /LucidaSansUnicode00 f -(b) 2553 3245 w -10 /LucidaSansUnicode00 f -(,) 2613 3225 w -(y) 2693 3225 w -7 /LucidaSansUnicode00 f -(a) 2756 3245 w -10 /S f -(-) 2819 3225 w -10 /LucidaSansUnicode00 f -(y) 2890 3225 w -7 /LucidaSansUnicode00 f -(b) 2953 3245 w -10 /LucidaSansUnicode00 f -(,) 3013 3225 w -(z) 3093 3225 w -7 /LucidaSansUnicode00 f -(a) 3161 3245 w -10 /S f -(-) 3224 3225 w -10 /LucidaSansUnicode00 f -(z) 3295 3225 w -7 /LucidaSansUnicode00 f -(b) 3363 3245 w -10 /LucidaSansUnicode00 f -(,) 3423 3225 w -(w) 3503 3225 w -7 /LucidaSansUnicode00 f -(a) 3591 3245 w -10 /S f -(-) 3654 3225 w -10 /LucidaSansUnicode00 f -(w) 3725 3225 w -7 /LucidaSansUnicode00 f -(b) 3813 3245 w -10 /S f -(\374) 3865 3188 w -(\376) 3865 3288 w -10 /LucidaSans-Demi f -(Multiplication) 720 3580 w -9 /LucidaTypewriter f -(Point3) 920 3750 w -(mulpt3\(Point3) 1375 3750 w -(p,) 2285 3750 w -(double) 2480 3750 w -(s\)) 2935 3750 w -10 /LucidaSansUnicode00 f -(p) 2297 3990 w -(*) 2368 3990 w -(s) 2424 3990 w -10 /S f -(=) 2531 3990 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2650 3953 w -(\356) 2650 4053 w -10 /LucidaSansUnicode00 f -(xs) 2699 4000 w -(,) 2819 4000 w -(ys) 2899 4000 w -(,) 3010 4000 w -(zs) 3090 4000 w -(,) 3206 4000 w -(ws) 3286 4000 w -10 /S f -(\374) 3414 3953 w -(\376) 3414 4053 w -10 /LucidaSans-Demi f -(Division) 720 4295 w -9 /LucidaTypewriter f -(Point3) 920 4465 w -(divpt3\(Point3) 1375 4465 w -(p,) 2285 4465 w -(double) 2480 4465 w -(s\)) 2935 4465 w -10 /LucidaSansUnicode00 f -(p) 2296 4790 w -(/) 2367 4790 w -(s) 2428 4790 w -10 /S f -(=) 2535 4790 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2654 4703 w -(\357) 2654 4803 w -(\356) 2654 4903 w -10 /LucidaSansUnicode00 f -(s) 2733 4860 w -(x) 2728 4730 w -10 /S1 f -(_) 2713 4760 w -(_) 2754 4760 w -10 /LucidaSansUnicode00 f -(,) 2822 4790 w -(s) 2927 4860 w -(y) 2927 4730 w -10 /S1 f -(_) 2912 4760 w -(_) 2944 4760 w -10 /LucidaSansUnicode00 f -(,) 3012 4790 w -(s) 3120 4860 w -(z) 3117 4730 w -10 /S1 f -(_) 3102 4760 w -(_) 3139 4760 w -10 /LucidaSansUnicode00 f -(,) 3207 4790 w -(s) 3325 4860 w -(w) 3312 4730 w -10 /S1 f -(_) 3297 4760 w -(__) 3304 4760 w -10 /S f -(\374) 3414 4703 w -(\357) 3414 4803 w -(\376) 3414 4903 w -10 /LucidaSans-Demi f -(Vector Dot Product) 720 5195 w -9 /LucidaTypewriter f -(double) 920 5365 w -(dotvec3\(Point3) 1375 5365 w -(a,) 2350 5365 w -(Point3) 2545 5365 w -(b\)) 3000 5365 w -10 /LucidaSansUnicode00 f -(a) 2210 5610 w -7 /LucidaSansUnicode21 f -(\222) 2205 5560 w -10 /LucidaSansUnicode00 f -10 /LucidaSansUnicode20 f -(") 2314 5610 w -10 /LucidaSansUnicode00 f -(b) 2418 5610 w -7 /LucidaSansUnicode21 f -(\222) 2417 5535 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2538 5610 w -10 /LucidaSansUnicode00 f -(x) 2649 5610 w -7 /LucidaSansUnicode00 f -(a) 2721 5630 w -10 /LucidaSansUnicode00 f -(x) 2776 5610 w -7 /LucidaSansUnicode00 f -(b) 2848 5630 w -10 /S f -(+) 2916 5610 w -10 /LucidaSansUnicode00 f -(y) 2987 5610 w -7 /LucidaSansUnicode00 f -(a) 3050 5630 w -10 /LucidaSansUnicode00 f -(y) 3105 5610 w -7 /LucidaSansUnicode00 f -(b) 3168 5630 w -10 /S f -(+) 3236 5610 w -10 /LucidaSansUnicode00 f -(z) 3307 5610 w -7 /LucidaSansUnicode00 f -(a) 3375 5630 w -10 /LucidaSansUnicode00 f -(z) 3430 5610 w -7 /LucidaSansUnicode00 f -(b) 3498 5630 w -10 /LucidaSans-Demi f -(Vector Cross Product) 720 5910 w -9 /LucidaTypewriter f -(double) 920 6080 w -(crossvec3\(Point3) 1375 6080 w -(a,) 2480 6080 w -(Point3) 2675 6080 w -(b\)) 3130 6080 w -10 /LucidaSansUnicode00 f -(a) 1650 6355 w -7 /LucidaSansUnicode21 f -(\222) 1645 6305 w -10 /LucidaSansUnicode00 f -(\327) 1754 6355 w -(b) 1882 6355 w -7 /LucidaSansUnicode21 f -(\222) 1881 6280 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2002 6355 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2121 6318 w -(\356) 2121 6418 w -10 /LucidaSansUnicode00 f -(y) 2170 6355 w -7 /LucidaSansUnicode00 f -(a) 2233 6375 w -10 /LucidaSansUnicode00 f -(z) 2288 6355 w -7 /LucidaSansUnicode00 f -(b) 2356 6375 w -10 /S f -(-) 2424 6355 w -10 /LucidaSansUnicode00 f -(z) 2495 6355 w -7 /LucidaSansUnicode00 f -(a) 2563 6375 w -10 /LucidaSansUnicode00 f -(y) 2618 6355 w -7 /LucidaSansUnicode00 f -(b) 2681 6375 w -10 /LucidaSansUnicode00 f -(,) 2741 6355 w -(z) 2821 6355 w -7 /LucidaSansUnicode00 f -(a) 2889 6375 w -10 /LucidaSansUnicode00 f -(x) 2944 6355 w -7 /LucidaSansUnicode00 f -(b) 3016 6375 w -10 /S f -(-) 3084 6355 w -10 /LucidaSansUnicode00 f -(x) 3155 6355 w -7 /LucidaSansUnicode00 f -(a) 3227 6375 w -10 /LucidaSansUnicode00 f -(z) 3282 6355 w -7 /LucidaSansUnicode00 f -(b) 3350 6375 w -10 /LucidaSansUnicode00 f -(,) 3410 6355 w -(x) 3490 6355 w -7 /LucidaSansUnicode00 f -(a) 3562 6375 w -10 /LucidaSansUnicode00 f -(y) 3617 6355 w -7 /LucidaSansUnicode00 f -(b) 3680 6375 w -10 /S f -(-) 3748 6355 w -10 /LucidaSansUnicode00 f -(y) 3819 6355 w -7 /LucidaSansUnicode00 f -(a) 3882 6375 w -10 /LucidaSansUnicode00 f -(x) 3937 6355 w -7 /LucidaSansUnicode00 f -(b) 4009 6375 w -10 /S f -(\374) 4061 6318 w -(\376) 4061 6418 w -10 /LucidaSans-Demi f -(Vector Magnitude/Length) 720 6710 w -9 /LucidaTypewriter f -(double) 920 6880 w -(vec3len\(Point3) 1375 6880 w -(v\)) 2350 6880 w -10 /LucidaSansUnicode00 f -(|) 2408 7155 w -(v) 2456 7138 w -7 /LucidaSansUnicode21 f -(\222) 2449 7088 w -10 /LucidaSansUnicode00 f -(|) 2508 7155 w -10 /S f -(=) 2604 7138 w -10 /LucidaSansUnicode00 f -12 /LucidaSansUnicode22 f -(\032) 2715 7138 w -12 /S f -(`) 2812 7138 w -(````````) 2863 7138 w -10 /LucidaSansUnicode00 f -(x) 2820 7138 w -7 /LucidaSansUnicode00 f -(2) 2886 7098 w -10 /S f -(+) 2954 7138 w -10 /LucidaSansUnicode00 f -(y) 3025 7138 w -7 /LucidaSansUnicode00 f -(2) 3082 7098 w -10 /S f -(+) 3150 7138 w -10 /LucidaSansUnicode00 f -(z) 3221 7138 w -7 /LucidaSansUnicode00 f -(2) 3283 7098 w -cleartomark -showpage -saveobj restore -%%EndPage: 3 3 -%%Page: 4 4 -/saveobj save def -mark -4 pagesetup -10 /LucidaSansUnicode00 f -(\255 4 \255) 2783 480 w -10 /LucidaSans-Demi f -(Vector Normalization) 720 840 w -9 /LucidaTypewriter f -(Point3) 920 1010 w -(normvec3\(Point3) 1375 1010 w -(v\)) 2415 1010 w -10 /LucidaSansUnicode00 f -(n) 2374 1335 w -7 /LucidaSansUnicode21 f -(\222) 2372 1285 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2492 1335 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2611 1248 w -(\357) 2611 1348 w -(\356) 2611 1448 w -10 /LucidaSansUnicode00 f -(|) 2685 1447 w -(v) 2733 1430 w -7 /LucidaSansUnicode21 f -(\222) 2726 1380 w -10 /LucidaSansUnicode00 f -(|) 2785 1447 w -(x) 2713 1275 w -10 /S1 f -(_) 2671 1305 w -(__) 2717 1305 w -10 /LucidaSansUnicode00 f -(,) 2835 1335 w -(|) 2940 1447 w -(v) 2988 1430 w -7 /LucidaSansUnicode21 f -(\222) 2981 1380 w -10 /LucidaSansUnicode00 f -(|) 3040 1447 w -(y) 2972 1275 w -10 /S1 f -(_) 2925 1305 w -(__) 2971 1305 w -10 /LucidaSansUnicode00 f -(,) 3089 1335 w -(|) 3194 1447 w -(v) 3242 1430 w -7 /LucidaSansUnicode21 f -(\222) 3235 1380 w -10 /LucidaSansUnicode00 f -(|) 3294 1447 w -(z) 3224 1275 w -10 /S1 f -(_) 3180 1305 w -(__) 3226 1305 w -10 /S f -(\374) 3336 1248 w -(\357) 3336 1348 w -(\376) 3336 1448 w -10 /LucidaSans-Demi f -(2.3.) 720 1740 w -(Matrix) 962 1740 w -(Addition) 720 1980 w -9 /LucidaTypewriter f -(void) 920 2150 w -(addm\(Matrix) 1245 2150 w -(A,) 2025 2150 w -(Matrix) 2220 2150 w -(B\)) 2675 2150 w -10 /LucidaSansUnicode00 f -(\() 2393 2390 w -10 /LucidaSans-Demi f -(A) 2434 2390 w -10 /S f -(+) 2524 2390 w -10 /LucidaSans-Demi f -(B) 2595 2390 w -10 /LucidaSansUnicode00 f -(\)) 2666 2390 w -7 /LucidaSansUnicode00 f -(i) 2710 2410 w -(,) 2735 2410 w -(j) 2762 2410 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2847 2390 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 2958 2390 w -7 /LucidaSansUnicode00 f -(i) 3043 2410 w -(,) 3068 2410 w -(j) 3095 2410 w -10 /S f -(+) 3140 2390 w -10 /LucidaSans-Demi f -(B) 3211 2390 w -7 /LucidaSansUnicode00 f -(i) 3285 2410 w -(,) 3310 2410 w -(j) 3337 2410 w -10 /LucidaSans-Demi f -(Substraction) 720 2690 w -9 /LucidaTypewriter f -(void) 920 2860 w -(subm\(Matrix) 1245 2860 w -(A,) 2025 2860 w -(Matrix) 2220 2860 w -(B\)) 2675 2860 w -10 /LucidaSansUnicode00 f -(\() 2393 3100 w -10 /LucidaSans-Demi f -(A) 2434 3100 w -10 /S f -(-) 2524 3100 w -10 /LucidaSans-Demi f -(B) 2595 3100 w -10 /LucidaSansUnicode00 f -(\)) 2666 3100 w -7 /LucidaSansUnicode00 f -(i) 2710 3120 w -(,) 2735 3120 w -(j) 2762 3120 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2847 3100 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 2958 3100 w -7 /LucidaSansUnicode00 f -(i) 3043 3120 w -(,) 3068 3120 w -(j) 3095 3120 w -10 /S f -(-) 3140 3100 w -10 /LucidaSans-Demi f -(B) 3211 3100 w -7 /LucidaSansUnicode00 f -(i) 3285 3120 w -(,) 3310 3120 w -(j) 3337 3120 w -10 /LucidaSans-Demi f -(Multiplication) 720 3400 w -9 /LucidaTypewriter f -(void) 920 3570 w -(mulm\(Matrix) 1245 3570 w -(A,) 2025 3570 w -(Matrix) 2220 3570 w -(B\)) 2675 3570 w -10 /S f -(\351) 2370 3823 w -(\353) 2370 3923 w -10 /LucidaSans-Demi f -(AB) 2420 3870 w -10 /S f -(\371) 2557 3823 w -(\373) 2557 3923 w -7 /LucidaSansUnicode00 f -(i) 2606 3905 w -(,) 2631 3905 w -(j) 2658 3905 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2743 3860 w -10 /LucidaSansUnicode00 f -7 /LucidaSansUnicode00 f -(k) 2847 3960 w -7 /S f -(=) 2899 3960 w -7 /LucidaSansUnicode00 f -(0) 2949 3960 w -15 /S f -(S) 2876 3890 w -7 /LucidaSansUnicode00 f -(3) 2846 3760 w -7 /S f -(-) 2901 3760 w -7 /LucidaSansUnicode00 f -(1) 2951 3760 w -10 /LucidaSans-Demi f -(A) 3027 3860 w -7 /LucidaSansUnicode00 f -(i) 3112 3880 w -(,) 3137 3880 w -(k) 3164 3880 w -10 /LucidaSans-Demi f -(B) 3221 3860 w -7 /LucidaSansUnicode00 f -(k) 3295 3880 w -(,) 3341 3880 w -(j) 3368 3880 w -10 /LucidaSans-Demi f -(Transpose) 720 4240 w -9 /LucidaTypewriter f -(void) 920 4410 w -(transposem\(Matrix) 1245 4410 w -(M\)) 2415 4410 w -10 /LucidaSansUnicode00 f -(\() 2552 4650 w -10 /LucidaSans-Demi f -(M) 2593 4650 w -7 /LucidaSansUnicode00 f -(T) 2689 4610 w -10 /LucidaSansUnicode00 f -(\)) 2749 4650 w -7 /LucidaSansUnicode00 f -(i) 2793 4670 w -(,) 2818 4670 w -(j) 2845 4670 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2930 4650 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 3041 4650 w -7 /LucidaSansUnicode00 f -(j) 3126 4670 w -(,) 3152 4670 w -(i) 3179 4670 w -10 /LucidaSans-Demi f -(Identity) 720 4950 w -9 /LucidaTypewriter f -(void) 920 5120 w -(identity\(Matrix) 1245 5120 w -(M\)) 2285 5120 w -10 /LucidaSans-Demi f -(M) 2560 5495 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2707 5495 w -10 /LucidaSansUnicode00 f -10 /S f -(\351) 2826 5358 w -(\357) 2826 5458 w -(\357) 2826 5558 w -(\353) 2826 5658 w -10 /LucidaSansUnicode00 f -(0) 2876 5645 w -(0) 2987 5645 w -(1) 3098 5645 w -(0) 2876 5505 w -(1) 2987 5505 w -(0) 3098 5505 w -(1) 2876 5365 w -(0) 2987 5365 w -(0) 3098 5365 w -10 /S f -(\371) 3161 5358 w -(\357) 3161 5458 w -(\357) 3161 5558 w -(\373) 3161 5658 w -10 /LucidaSans-Demi f -(Determinant) 720 5950 w -9 /LucidaTypewriter f -(double) 920 6120 w -(detm\(Matrix) 1375 6120 w -(M\)) 2155 6120 w -10 /LucidaSansUnicode00 f -(det) 1992 6500 w -(\() 2156 6500 w -10 /LucidaSans-Demi f -(M) 2197 6500 w -10 /LucidaSansUnicode00 f -(\)) 2296 6500 w -10 /S f -(=) 2393 6500 w -10 /LucidaSansUnicode00 f -(m) 2504 6660 w -7 /LucidaSansUnicode00 f -(02) 2608 6680 w -10 /LucidaSansUnicode00 f -(\() 2712 6660 w -(m) 2753 6660 w -7 /LucidaSansUnicode00 f -(10) 2857 6680 w -10 /LucidaSansUnicode00 f -(m) 2961 6660 w -7 /LucidaSansUnicode00 f -(21) 3065 6680 w -10 /S f -(-) 3177 6660 w -10 /LucidaSansUnicode00 f -(m) 3248 6660 w -7 /LucidaSansUnicode00 f -(11) 3352 6680 w -10 /LucidaSansUnicode00 f -(m) 3456 6660 w -7 /LucidaSansUnicode00 f -(20) 3560 6680 w -10 /LucidaSansUnicode00 f -(\)) 3664 6660 w -(m) 2504 6500 w -7 /LucidaSansUnicode00 f -(01) 2608 6520 w -10 /LucidaSansUnicode00 f -(\() 2712 6500 w -(m) 2753 6500 w -7 /LucidaSansUnicode00 f -(12) 2857 6520 w -10 /LucidaSansUnicode00 f -(m) 2961 6500 w -7 /LucidaSansUnicode00 f -(20) 3065 6520 w -10 /S f -(-) 3177 6500 w -10 /LucidaSansUnicode00 f -(m) 3248 6500 w -7 /LucidaSansUnicode00 f -(10) 3352 6520 w -10 /LucidaSansUnicode00 f -(m) 3456 6500 w -7 /LucidaSansUnicode00 f -(22) 3560 6520 w -10 /LucidaSansUnicode00 f -(\)) 3664 6500 w -10 /S f -(+) 3713 6500 w -10 /LucidaSansUnicode00 f -(m) 2504 6340 w -7 /LucidaSansUnicode00 f -(00) 2608 6360 w -10 /LucidaSansUnicode00 f -(\() 2712 6340 w -(m) 2753 6340 w -7 /LucidaSansUnicode00 f -(11) 2857 6360 w -10 /LucidaSansUnicode00 f -(m) 2961 6340 w -7 /LucidaSansUnicode00 f -(22) 3065 6360 w -10 /S f -(-) 3177 6340 w -10 /LucidaSansUnicode00 f -(m) 3248 6340 w -7 /LucidaSansUnicode00 f -(12) 3352 6360 w -10 /LucidaSansUnicode00 f -(m) 3456 6340 w -7 /LucidaSansUnicode00 f -(21) 3560 6360 w -10 /LucidaSansUnicode00 f -(\)) 3664 6340 w -10 /S f -(+) 3713 6340 w -cleartomark -showpage -saveobj restore -%%EndPage: 4 4 -%%Page: 5 5 -/saveobj save def -mark -5 pagesetup -10 /LucidaSansUnicode00 f -(\255 5 \255) 2783 480 w -10 /LucidaSans-Demi f -(2.4.) 720 840 w -(Matrix3) 962 840 w -(Addition) 720 1080 w -9 /LucidaTypewriter f -(void) 920 1250 w -(addm3\(Matrix3) 1245 1250 w -(A,) 2155 1250 w -(Matrix3) 2350 1250 w -(B\)) 2870 1250 w -10 /LucidaSansUnicode00 f -(\() 2393 1490 w -10 /LucidaSans-Demi f -(A) 2434 1490 w -10 /S f -(+) 2524 1490 w -10 /LucidaSans-Demi f -(B) 2595 1490 w -10 /LucidaSansUnicode00 f -(\)) 2666 1490 w -7 /LucidaSansUnicode00 f -(i) 2710 1510 w -(,) 2735 1510 w -(j) 2762 1510 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2847 1490 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 2958 1490 w -7 /LucidaSansUnicode00 f -(i) 3043 1510 w -(,) 3068 1510 w -(j) 3095 1510 w -10 /S f -(+) 3140 1490 w -10 /LucidaSans-Demi f -(B) 3211 1490 w -7 /LucidaSansUnicode00 f -(i) 3285 1510 w -(,) 3310 1510 w -(j) 3337 1510 w -10 /LucidaSans-Demi f -(Substraction) 720 1790 w -9 /LucidaTypewriter f -(void) 920 1960 w -(subm3\(Matrix3) 1245 1960 w -(A,) 2155 1960 w -(Matrix3) 2350 1960 w -(B\)) 2870 1960 w -10 /LucidaSansUnicode00 f -(\() 2393 2200 w -10 /LucidaSans-Demi f -(A) 2434 2200 w -10 /S f -(-) 2524 2200 w -10 /LucidaSans-Demi f -(B) 2595 2200 w -10 /LucidaSansUnicode00 f -(\)) 2666 2200 w -7 /LucidaSansUnicode00 f -(i) 2710 2220 w -(,) 2735 2220 w -(j) 2762 2220 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2847 2200 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 2958 2200 w -7 /LucidaSansUnicode00 f -(i) 3043 2220 w -(,) 3068 2220 w -(j) 3095 2220 w -10 /S f -(-) 3140 2200 w -10 /LucidaSans-Demi f -(B) 3211 2200 w -7 /LucidaSansUnicode00 f -(i) 3285 2220 w -(,) 3310 2220 w -(j) 3337 2220 w -10 /LucidaSans-Demi f -(Multiplication) 720 2500 w -9 /LucidaTypewriter f -(void) 920 2670 w -(mulm3\(Matrix3) 1245 2670 w -(A,) 2155 2670 w -(Matrix3) 2350 2670 w -(B\)) 2870 2670 w -10 /S f -(\351) 2374 2923 w -(\353) 2374 3023 w -10 /LucidaSans-Demi f -(AB) 2424 2970 w -10 /S f -(\371) 2561 2923 w -(\373) 2561 3023 w -7 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2818 3770 w -(j) 2845 3770 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2930 3750 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 3041 3750 w -7 /LucidaSansUnicode00 f -(j) 3126 3770 w -(,) 3152 3770 w -(i) 3179 3770 w -10 /LucidaSans-Demi f -(Identity) 720 4050 w -9 /LucidaTypewriter f -(void) 920 4220 w -(identity3\(Matrix3) 1245 4220 w -(M\)) 2415 4220 w -10 /LucidaSans-Demi f -(M) 2505 4695 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2652 4695 w -10 /LucidaSansUnicode00 f -10 /S f -(\351) 2771 4458 w -(\357) 2771 4558 w -(\357) 2771 4658 w -(\357) 2771 4758 w -(\357) 2771 4858 w -(\353) 2771 4958 w -10 /LucidaSansUnicode00 f -(0) 2821 4915 w -(0) 2932 4915 w -(0) 3043 4915 w -(1) 3154 4915 w -(0) 2821 4775 w -(0) 2932 4775 w -(1) 3043 4775 w -(0) 3154 4775 w -(0) 2821 4635 w -(1) 2932 4635 w -(0) 3043 4635 w -(0) 3154 4635 w -(1) 2821 4495 w -(0) 2932 4495 w -(0) 3043 4495 w -(0) 3154 4495 w -10 /S f -(\371) 3217 4458 w -(\357) 3217 4558 w -(\357) 3217 4658 w -(\357) 3217 4758 w -(\357) 3217 4858 w -(\373) 3217 4958 w -10 /LucidaSans-Demi f -(Determinant) 720 5250 w -9 /LucidaTypewriter f -(double) 920 5420 w -(detm3\(Matrix3) 1375 5420 w -(M\)) 2285 5420 w -10 /LucidaSansUnicode00 f -(det) 567 5910 w -(\() 731 5910 w -10 /LucidaSans-Demi f -(M) 772 5910 w -10 /LucidaSansUnicode00 f -(\)) 871 5910 w -10 /S f -(=) 968 5910 w -10 /LucidaSansUnicode00 f -10 /S f -(-) 1079 6120 w -10 /LucidaSansUnicode00 f -(m) 1150 6120 w -7 /LucidaSansUnicode00 f -(03) 1254 6140 w -10 /LucidaSansUnicode00 f -(\() 1358 6120 w -(m) 1399 6120 w -7 /LucidaSansUnicode00 f -(10) 1503 6140 w -10 /LucidaSansUnicode00 f -(\() 1607 6120 w -(m) 1648 6120 w -7 /LucidaSansUnicode00 f -(21) 1752 6140 w -10 /LucidaSansUnicode00 f -(m) 1856 6120 w -7 /LucidaSansUnicode00 f -(32) 1960 6140 w -10 /S f -(-) 2072 6120 w -10 /LucidaSansUnicode00 f -(m) 2143 6120 w -7 /LucidaSansUnicode00 f -(22) 2247 6140 w -10 /LucidaSansUnicode00 f -(m) 2351 6120 w -7 /LucidaSansUnicode00 f -(31) 2455 6140 w -10 /LucidaSansUnicode00 f -(\)) 2559 6120 w -10 /S f -(+) 2608 6120 w -10 /LucidaSansUnicode00 f -(m) 2679 6120 w -7 /LucidaSansUnicode00 f -(11) 2783 6140 w -10 /LucidaSansUnicode00 f -(\() 2887 6120 w -(m) 2928 6120 w -7 /LucidaSansUnicode00 f -(22) 3032 6140 w -10 /LucidaSansUnicode00 f -(m) 3136 6120 w -7 /LucidaSansUnicode00 f -(30) 3240 6140 w -10 /S f -(-) 3352 6120 w -10 /LucidaSansUnicode00 f -(m) 3423 6120 w -7 /LucidaSansUnicode00 f -(20) 3527 6140 w -10 /LucidaSansUnicode00 f -(m) 3631 6120 w -7 /LucidaSansUnicode00 f -(32) 3735 6140 w -10 /LucidaSansUnicode00 f -(\)) 3839 6120 w -10 /S f -(+) 3888 6120 w -10 /LucidaSansUnicode00 f -(m) 3959 6120 w -7 /LucidaSansUnicode00 f -(12) 4063 6140 w -10 /LucidaSansUnicode00 f -(\() 4167 6120 w -(m) 4208 6120 w -7 /LucidaSansUnicode00 f -(20) 4312 6140 w -10 /LucidaSansUnicode00 f -(m) 4416 6120 w -7 /LucidaSansUnicode00 f -(31) 4520 6140 w -10 /S f -(-) 4632 6120 w -10 /LucidaSansUnicode00 f -(m) 4703 6120 w -7 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2887 5960 w -(m) 2928 5960 w -7 /LucidaSansUnicode00 f -(23) 3032 5980 w -10 /LucidaSansUnicode00 f -(m) 3136 5960 w -7 /LucidaSansUnicode00 f -(30) 3240 5980 w -10 /S f -(-) 3352 5960 w -10 /LucidaSansUnicode00 f -(m) 3423 5960 w -7 /LucidaSansUnicode00 f -(20) 3527 5980 w -10 /LucidaSansUnicode00 f -(m) 3631 5960 w -7 /LucidaSansUnicode00 f -(33) 3735 5980 w -10 /LucidaSansUnicode00 f -(\)) 3839 5960 w -10 /S f -(+) 3888 5960 w -10 /LucidaSansUnicode00 f -(m) 3959 5960 w -7 /LucidaSansUnicode00 f -(13) 4063 5980 w -10 /LucidaSansUnicode00 f -(\() 4167 5960 w -(m) 4208 5960 w -7 /LucidaSansUnicode00 f -(20) 4312 5980 w -10 /LucidaSansUnicode00 f -(m) 4416 5960 w -7 /LucidaSansUnicode00 f -(31) 4520 5980 w -10 /S f -(-) 4632 5960 w -10 /LucidaSansUnicode00 f -(m) 4703 5960 w -7 /LucidaSansUnicode00 f -(21) 4807 5980 w -10 /LucidaSansUnicode00 f -(m) 4911 5960 w -7 /LucidaSansUnicode00 f -(30) 5015 5980 w -10 /LucidaSansUnicode00 f -(\)) 5119 5960 w -(\)) 5160 5960 w -10 /S f -(-) 1079 5800 w -10 /LucidaSansUnicode00 f -(m) 1150 5800 w -7 /LucidaSansUnicode00 f -(01) 1254 5820 w -10 /LucidaSansUnicode00 f -(\() 1358 5800 w -(m) 1399 5800 w -7 /LucidaSansUnicode00 f -(10) 1503 5820 w -10 /LucidaSansUnicode00 f -(\() 1607 5800 w -(m) 1648 5800 w -7 /LucidaSansUnicode00 f -(22) 1752 5820 w -10 /LucidaSansUnicode00 f -(m) 1856 5800 w -7 /LucidaSansUnicode00 f -(33) 1960 5820 w -10 /S f -(-) 2072 5800 w -10 /LucidaSansUnicode00 f -(m) 2143 5800 w -7 /LucidaSansUnicode00 f -(23) 2247 5820 w -10 /LucidaSansUnicode00 f -(m) 2351 5800 w -7 /LucidaSansUnicode00 f -(32) 2455 5820 w -10 /LucidaSansUnicode00 f -(\)) 2559 5800 w -10 /S f -(+) 2608 5800 w -10 /LucidaSansUnicode00 f -(m) 2679 5800 w -7 /LucidaSansUnicode00 f -(12) 2783 5820 w -10 /LucidaSansUnicode00 f -(\() 2887 5800 w -(m) 2928 5800 w -7 /LucidaSansUnicode00 f -(23) 3032 5820 w -10 /LucidaSansUnicode00 f -(m) 3136 5800 w -7 /LucidaSansUnicode00 f -(30) 3240 5820 w -10 /S f -(-) 3352 5800 w -10 /LucidaSansUnicode00 f -(m) 3423 5800 w -7 /LucidaSansUnicode00 f -(20) 3527 5820 w -10 /LucidaSansUnicode00 f -(m) 3631 5800 w -7 /LucidaSansUnicode00 f -(33) 3735 5820 w -10 /LucidaSansUnicode00 f -(\)) 3839 5800 w -10 /S f -(+) 3888 5800 w -10 /LucidaSansUnicode00 f -(m) 3959 5800 w -7 /LucidaSansUnicode00 f -(13) 4063 5820 w -10 /LucidaSansUnicode00 f -(\() 4167 5800 w -(m) 4208 5800 w -7 /LucidaSansUnicode00 f -(20) 4312 5820 w -10 /LucidaSansUnicode00 f -(m) 4416 5800 w -7 /LucidaSansUnicode00 f -(32) 4520 5820 w -10 /S f -(-) 4632 5800 w -10 /LucidaSansUnicode00 f -(m) 4703 5800 w -7 /LucidaSansUnicode00 f -(22) 4807 5820 w -10 /LucidaSansUnicode00 f -(m) 4911 5800 w -7 /LucidaSansUnicode00 f -(30) 5015 5820 w -10 /LucidaSansUnicode00 f -(\)) 5119 5800 w -(\)) 5160 5800 w -(m) 1150 5640 w -7 /LucidaSansUnicode00 f -(00) 1254 5660 w -10 /LucidaSansUnicode00 f -(\() 1358 5640 w -(m) 1399 5640 w -7 /LucidaSansUnicode00 f -(11) 1503 5660 w -10 /LucidaSansUnicode00 f -(\() 1607 5640 w -(m) 1648 5640 w -7 /LucidaSansUnicode00 f -(22) 1752 5660 w -10 /LucidaSansUnicode00 f -(m) 1856 5640 w -7 /LucidaSansUnicode00 f -(33) 1960 5660 w -10 /S f -(-) 2072 5640 w -10 /LucidaSansUnicode00 f -(m) 2143 5640 w -7 /LucidaSansUnicode00 f -(23) 2247 5660 w -10 /LucidaSansUnicode00 f -(m) 2351 5640 w -7 /LucidaSansUnicode00 f -(32) 2455 5660 w -10 /LucidaSansUnicode00 f -(\)) 2559 5640 w -10 /S f -(+) 2608 5640 w -10 /LucidaSansUnicode00 f -(m) 2679 5640 w -7 /LucidaSansUnicode00 f -(12) 2783 5660 w -10 /LucidaSansUnicode00 f -(\() 2887 5640 w -(m) 2928 5640 w -7 /LucidaSansUnicode00 f -(23) 3032 5660 w -10 /LucidaSansUnicode00 f -(m) 3136 5640 w -7 /LucidaSansUnicode00 f -(31) 3240 5660 w -10 /S f -(-) 3352 5640 w -10 /LucidaSansUnicode00 f -(m) 3423 5640 w -7 /LucidaSansUnicode00 f -(21) 3527 5660 w -10 /LucidaSansUnicode00 f -(m) 3631 5640 w -7 /LucidaSansUnicode00 f -(33) 3735 5660 w -10 /LucidaSansUnicode00 f -(\)) 3839 5640 w -10 /S f -(+) 3888 5640 w -10 /LucidaSansUnicode00 f -(m) 3959 5640 w -7 /LucidaSansUnicode00 f -(13) 4063 5660 w -10 /LucidaSansUnicode00 f -(\() 4167 5640 w -(m) 4208 5640 w -7 /LucidaSansUnicode00 f -(21) 4312 5660 w -10 /LucidaSansUnicode00 f -(m) 4416 5640 w -7 /LucidaSansUnicode00 f -(32) 4520 5660 w -10 /S f -(-) 4632 5640 w -10 /LucidaSansUnicode00 f -(m) 4703 5640 w -7 /LucidaSansUnicode00 f -(22) 4807 5660 w -10 /LucidaSansUnicode00 f -(m) 4911 5640 w -7 /LucidaSansUnicode00 f -(31) 5015 5660 w -10 /LucidaSansUnicode00 f -(\)) 5119 5640 w -(\)) 5160 5640 w -10 /LucidaSans-Demi f -(2.5.) 720 6420 w -(Quaternion) 962 6420 w -(Addition) 720 6660 w -9 /LucidaTypewriter f -(Quaternion) 920 6830 w -(addq\(Quaternion) 1635 6830 w -(q,) 2675 6830 w -(Quaternion) 2870 6830 w -(r\)) 3585 6830 w -10 /LucidaSansUnicode00 f -(q) 1974 7070 w -10 /S f -(+) 2053 7070 w -10 /LucidaSansUnicode00 f -(r) 2124 7070 w -10 /S f -(=) 2221 7070 w -10 /LucidaSansUnicode00 f -(\() 2332 7070 w -(r) 2373 7070 w -7 /LucidaSansUnicode00 f -(q) 2425 7090 w -10 /S f -(+) 2493 7070 w -10 /LucidaSansUnicode00 f -(r) 2564 7070 w -7 /LucidaSansUnicode00 f -(r) 2616 7090 w -10 /LucidaSansUnicode00 f -(,) 2661 7070 w -(i) 2741 7070 w -7 /LucidaSansUnicode00 f -(q) 2781 7090 w -10 /S f -(+) 2849 7070 w -10 /LucidaSansUnicode00 f -(i) 2920 7070 w -7 /LucidaSansUnicode00 f -(r) 2960 7090 w -10 /LucidaSansUnicode00 f -(,) 3005 7070 w -(j) 3085 7070 w -7 /LucidaSansUnicode00 f -(q) 3126 7090 w -10 /S f -(+) 3194 7070 w -10 /LucidaSansUnicode00 f -(j) 3265 7070 w -7 /LucidaSansUnicode00 f -(r) 3306 7090 w -10 /LucidaSansUnicode00 f -(,) 3351 7070 w -(k) 3431 7070 w -7 /LucidaSansUnicode00 f -(q) 3500 7090 w -10 /S f -(+) 3568 7070 w -10 /LucidaSansUnicode00 f -(k) 3639 7070 w -7 /LucidaSansUnicode00 f -(r) 3708 7090 w -10 /LucidaSansUnicode00 f -(\)) 3753 7070 w -cleartomark -showpage -saveobj restore -%%EndPage: 5 5 -%%Page: 6 6 -/saveobj save def -mark -6 pagesetup -10 /LucidaSansUnicode00 f -(\255 6 \255) 2783 480 w -10 /LucidaSans-Demi f -(Substraction) 720 840 w -9 /LucidaTypewriter f -(Quaternion) 920 1010 w -(subq\(Quaternion) 1635 1010 w -(q,) 2675 1010 w -(Quaternion) 2870 1010 w -(r\)) 3585 1010 w -10 /LucidaSansUnicode00 f -(q) 1974 1250 w -10 /S f -(-) 2053 1250 w -10 /LucidaSansUnicode00 f -(r) 2124 1250 w -10 /S f -(=) 2221 1250 w -10 /LucidaSansUnicode00 f -(\() 2332 1250 w -(r) 2373 1250 w -7 /LucidaSansUnicode00 f -(q) 2425 1270 w -10 /S f -(-) 2493 1250 w -10 /LucidaSansUnicode00 f -(r) 2564 1250 w -7 /LucidaSansUnicode00 f -(r) 2616 1270 w -10 /LucidaSansUnicode00 f -(,) 2661 1250 w -(i) 2741 1250 w -7 /LucidaSansUnicode00 f -(q) 2781 1270 w -10 /S f -(-) 2849 1250 w -10 /LucidaSansUnicode00 f -(i) 2920 1250 w -7 /LucidaSansUnicode00 f -(r) 2960 1270 w -10 /LucidaSansUnicode00 f -(,) 3005 1250 w -(j) 3085 1250 w -7 /LucidaSansUnicode00 f -(q) 3126 1270 w -10 /S f -(-) 3194 1250 w -10 /LucidaSansUnicode00 f -(j) 3265 1250 w -7 /LucidaSansUnicode00 f -(r) 3306 1270 w -10 /LucidaSansUnicode00 f -(,) 3351 1250 w -(k) 3431 1250 w -7 /LucidaSansUnicode00 f -(q) 3500 1270 w -10 /S f -(-) 3568 1250 w -10 /LucidaSansUnicode00 f -(k) 3639 1250 w -7 /LucidaSansUnicode00 f -(r) 3708 1270 w -10 /LucidaSansUnicode00 f -(\)) 3753 1250 w -10 /LucidaSans-Demi f -(Multiplication) 720 1550 w -9 /LucidaTypewriter f -(Quaternion) 920 1720 w -(mulq\(Quaternion) 1635 1720 w -(q,) 2675 1720 w -(Quaternion) 2870 1720 w -(r\)) 3585 1720 w -10 /LucidaSansUnicode00 f -(q) 1321 1965 w -10 /S f -(=) 1440 1965 w -10 /LucidaSansUnicode00 f -([) 1551 1965 w -(r) 1592 1965 w -7 /LucidaSansUnicode00 f -(q) 1644 1985 w -10 /LucidaSansUnicode00 f -(,) 1704 1965 w -(v) 1784 1965 w -7 /LucidaSansUnicode21 f -(\222) 1777 1915 w -7 /LucidaSansUnicode00 f -(q) 1847 1985 w -10 /LucidaSansUnicode00 f -(]) 1907 1965 w -(r) 1956 1965 w -10 /S f -(=) 2053 1965 w -10 /LucidaSansUnicode00 f -([) 2164 1965 w -(r) 2205 1965 w -7 /LucidaSansUnicode00 f -(r) 2257 1985 w -10 /LucidaSansUnicode00 f -(,) 2302 1965 w -(v) 2382 1965 w -7 /LucidaSansUnicode21 f -(\222) 2375 1915 w -7 /LucidaSansUnicode00 f -(r) 2445 1985 w -10 /LucidaSansUnicode00 f -(]) 2490 1965 w -(qr) 2539 1965 w -10 /S f -(=) 2699 1965 w -10 /LucidaSansUnicode00 f -([) 2810 1965 w -(r) 2851 1965 w -7 /LucidaSansUnicode00 f -(q) 2903 1985 w -10 /LucidaSansUnicode00 f -(r) 2963 1965 w -7 /LucidaSansUnicode00 f -(r) 3015 1985 w -10 /S f -(-) 3068 1965 w -10 /LucidaSansUnicode00 f -(v) 3139 1965 w -7 /LucidaSansUnicode21 f -(\222) 3132 1915 w -7 /LucidaSansUnicode00 f -(q) 3202 1985 w -10 /LucidaSansUnicode20 f -(") 3262 1965 w -10 /LucidaSansUnicode00 f -(v) 3326 1965 w -7 /LucidaSansUnicode21 f -(\222) 3319 1915 w -7 /LucidaSansUnicode00 f -(r) 3389 1985 w -10 /LucidaSansUnicode00 f -(,) 3434 1965 w -(v) 3514 1965 w -7 /LucidaSansUnicode21 f -(\222) 3507 1915 w -7 /LucidaSansUnicode00 f -(r) 3577 1985 w -10 /LucidaSansUnicode00 f -(r) 3622 1965 w -7 /LucidaSansUnicode00 f -(q) 3674 1985 w -10 /S f -(+) 3742 1965 w -10 /LucidaSansUnicode00 f -(v) 3813 1965 w -7 /LucidaSansUnicode21 f -(\222) 3806 1915 w -7 /LucidaSansUnicode00 f -(q) 3876 1985 w -10 /LucidaSansUnicode00 f -(r) 3936 1965 w -7 /LucidaSansUnicode00 f -(r) 3988 1985 w -10 /S f -(+) 4041 1965 w -10 /LucidaSansUnicode00 f -(v) 4112 1965 w -7 /LucidaSansUnicode21 f -(\222) 4105 1915 w -7 /LucidaSansUnicode00 f -(q) 4175 1985 w -10 /LucidaSansUnicode00 f -(Xv) 4235 1965 w -7 /LucidaSansUnicode21 f -(\222) 4291 1915 w -7 /LucidaSansUnicode00 f -(r) 4361 1985 w -10 /LucidaSansUnicode00 f -(]) 4406 1965 w -10 /LucidaSans-Demi f -(Scalar Multiplication) 720 2265 w -9 /LucidaTypewriter f -(Quaternion) 920 2435 w -(smulq\(Quaternion) 1635 2435 w -(q,) 2740 2435 w -(double) 2935 2435 w -(s\)) 3390 2435 w -10 /LucidaSansUnicode00 f -(qs) 2243 2675 w -10 /S f -(=) 2413 2675 w -10 /LucidaSansUnicode00 f -([) 2524 2675 w -(r) 2565 2675 w -7 /LucidaSansUnicode00 f -(q) 2617 2695 w -10 /LucidaSansUnicode00 f -(s) 2677 2675 w -(,) 2736 2675 w -(i) 2816 2675 w -7 /LucidaSansUnicode00 f -(q) 2856 2695 w -10 /LucidaSansUnicode00 f -(s) 2916 2675 w -(,) 2975 2675 w -(j) 3055 2675 w -7 /LucidaSansUnicode00 f -(q) 3096 2695 w -10 /LucidaSansUnicode00 f -(s) 3156 2675 w -(,) 3215 2675 w -(k) 3295 2675 w -7 /LucidaSansUnicode00 f -(q) 3364 2695 w -10 /LucidaSansUnicode00 f -(s) 3424 2675 w -(]) 3483 2675 w -10 /LucidaSans-Demi f -(Inverse) 720 2975 w -9 /LucidaTypewriter f -(Quaternion) 920 3145 w -(invq\(Quaternion) 1635 3145 w -(q\)) 2675 3145 w -10 /LucidaSansUnicode00 f -(q) 2009 3470 w -7 /S f -(-) 2083 3430 w -7 /LucidaSansUnicode00 f -(1) 2133 3430 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2241 3470 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2360 3383 w -(\357) 2360 3483 w -(\356) 2360 3583 w -10 /LucidaSansUnicode00 f -(|) 2434 3567 w -(q) 2482 3550 w -(|) 2545 3567 w -7 /LucidaSansUnicode00 f -(2) 2583 3510 w -10 /LucidaSansUnicode00 f -(r) 2514 3410 w -10 /S1 f -(_) 2419 3440 w -(____) 2450 3440 w -10 /LucidaSansUnicode00 f -(,) 2668 3470 w -(|) 2781 3567 w -(q) 2829 3550 w -(|) 2892 3567 w -7 /LucidaSansUnicode00 f -(2) 2930 3510 w -10 /S f -(-) 2832 3410 w -10 /LucidaSansUnicode00 f -(i) 2903 3410 w -10 /S1 f -(_) 2767 3440 w -(____) 2798 3440 w -10 /LucidaSansUnicode00 f -(,) 3016 3470 w -(|) 3129 3567 w -(q) 3177 3550 w -(|) 3240 3567 w -7 /LucidaSansUnicode00 f -(2) 3278 3510 w -10 /S f -(-) 3179 3410 w -10 /LucidaSansUnicode00 f -(j) 3250 3410 w -10 /S1 f -(_) 3114 3440 w -(____) 3145 3440 w -10 /LucidaSansUnicode00 f -(,) 3363 3470 w -(|) 3476 3567 w -(q) 3524 3550 w -(|) 3587 3567 w -7 /LucidaSansUnicode00 f -(2) 3625 3510 w -10 /S f -(-) 3512 3410 w -10 /LucidaSansUnicode00 f -(k) 3583 3410 w -10 /S1 f -(_) 3461 3440 w -(____) 3492 3440 w -10 /S f -(\374) 3702 3383 w -(\357) 3702 3483 w -(\376) 3702 3583 w -10 /LucidaSans-Demi f -(Magnitude/Length) 720 3875 w -9 /LucidaTypewriter f -(double) 920 4045 w -(qlen\(Quaternion) 1375 4045 w -(q\)) 2415 4045 w -10 /LucidaSansUnicode00 f -(|) 2337 4320 w -(q) 2385 4303 w -(|) 2448 4320 w -10 /S f -(=) 2544 4303 w -10 /LucidaSansUnicode00 f -12 /LucidaSansUnicode22 f -(\032) 2655 4303 w -12 /S f -(`) 2752 4303 w -(```````````) 2755 4303 w -10 /LucidaSansUnicode00 f -(r) 2760 4303 w -7 /LucidaSansUnicode00 f -(2) 2806 4263 w -10 /S f -(+) 2874 4303 w -10 /LucidaSansUnicode00 f -(i) 2945 4303 w -7 /LucidaSansUnicode00 f -(2) 2979 4263 w -10 /S f -(+) 3047 4303 w -10 /LucidaSansUnicode00 f -(j) 3118 4303 w -7 /LucidaSansUnicode00 f -(2) 3153 4263 w -10 /S f -(+) 3221 4303 w -10 /LucidaSansUnicode00 f -(k) 3292 4303 w -7 /LucidaSansUnicode00 f -(2) 3355 4263 w -cleartomark -showpage -saveobj restore -%%EndPage: 6 6 -%%Trailer -done -%%DocumentFonts: LucidaSansUnicode20 LucidaSansUnicode21 LucidaSansUnicode22 S1 S LucidaSansUnicode00 LucidaSans-Demi LucidaSans-Italic LucidaTypewriter -%%Pages: 6 |