path: root/doc/libgeometry.ps

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	addmetrics
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/pagedimensions {
	useclippath userdict /gotpagebbox known not and {
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/w {neg moveto show} bind def
/m {neg dup /y exch def moveto} bind def
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/f {
	dup /font exch def findfont exch
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	linewidth ptsize mul scaling 10 mul div setlinewidth
	/spacewidth ( ) stringwidth pop def
} bind def

/changefont {
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		fontheight ptsize div fontslant sin mul fontslant cos div
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%
% A few arrays used to adjust reference points and character widths in some
% of the printer resident fonts. If square roots are too high try changing
% the lines describing /radical and /radicalex to,
%
%	/radical	[0 -75 550 0]
%	/radicalex	[-50 -75 500 0]
%
% Move braceleftbt a bit - default PostScript character is off a bit.
%

/Sdefs [
	/bracketlefttp		[201 500]
	/bracketleftbt		[201 500]
	/bracketrighttp		[-81 380]
	/bracketrightbt		[-83 380]
	/braceleftbt		[203 490]
	/bracketrightex		[220 -125 500 0]
	/radical		[0 0 550 0]
	/radicalex		[-50 0 500 0]
	/parenleftex		[-20 -170 0 0]
	/integral		[100 -50 500 0]
	/infinity		[10 -75 730 0]
] def

/S1defs [
	/underscore		[0 80 500 0]
	/endash			[7 90 650 0]
] def
%
% Tries to round clipping path dimensions, as stored in array pagebbox, so they
% match one of the known sizes in the papersizes array. Lower left coordinates
% are always set to 0.
%

/roundpagebbox {
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%%EndProlog
%%BeginSetup
mark
%
% Encoding vector and redefinition of findfont for the ISO Latin1 standard.
% The 18 characters missing from ROM based fonts on older printers are noted
% below.
%

/ISOLatin1Encoding [
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/space
	/exclam
	/quotedbl
	/numbersign
	/dollar
	/percent
	/ampersand
	/quoteright
	/parenleft
	/parenright
	/asterisk
	/plus
	/comma
	/minus
	/period
	/slash
	/zero
	/one
	/two
	/three
	/four
	/five
	/six
	/seven
	/eight
	/nine
	/colon
	/semicolon
	/less
	/equal
	/greater
	/question
	/at
	/A
	/B
	/C
	/D
	/E
	/F
	/G
	/H
	/I
	/J
	/K
	/L
	/M
	/N
	/O
	/P
	/Q
	/R
	/S
	/T
	/U
	/V
	/W
	/X
	/Y
	/Z
	/bracketleft
	/backslash
	/bracketright
	/asciicircum
	/underscore
	/quoteleft
	/a
	/b
	/c
	/d
	/e
	/f
	/g
	/h
	/i
	/j
	/k
	/l
	/m
	/n
	/o
	/p
	/q
	/r
	/s
	/t
	/u
	/v
	/w
	/x
	/y
	/z
	/braceleft
	/bar
	/braceright
	/asciitilde
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
	/.notdef
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	/.notdef
	/.notdef
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	/dotlessi
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	/acute
	/circumflex
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	/macron
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	/dieresis
	/.notdef
	/ring
	/cedilla
	/.notdef
	/hungarumlaut
	/ogonek
	/caron
	/space
	/exclamdown
	/cent
	/sterling
	/currency
	/yen
	/brokenbar		% missing
	/section
	/dieresis
	/copyright
	/ordfeminine
	/guillemotleft
	/logicalnot
	/hyphen
	/registered
	/macron
	/degree			% missing
	/plusminus		% missing
	/twosuperior		% missing
	/threesuperior		% missing
	/acute
	/mu			% missing
	/paragraph
	/periodcentered
	/cedilla
	/onesuperior		% missing
	/ordmasculine
	/guillemotright
	/onequarter		% missing
	/onehalf		% missing
	/threequarters		% missing
	/questiondown
	/Agrave
	/Aacute
	/Acircumflex
	/Atilde
	/Adieresis
	/Aring
	/AE
	/Ccedilla
	/Egrave
	/Eacute
	/Ecircumflex
	/Edieresis
	/Igrave
	/Iacute
	/Icircumflex
	/Idieresis
	/Eth			% missing
	/Ntilde
	/Ograve
	/Oacute
	/Ocircumflex
	/Otilde
	/Odieresis
	/multiply		% missing
	/Oslash
	/Ugrave
	/Uacute
	/Ucircumflex
	/Udieresis
	/Yacute			% missing
	/Thorn			% missing
	/germandbls
	/agrave
	/aacute
	/acircumflex
	/atilde
	/adieresis
	/aring
	/ae
	/ccedilla
	/egrave
	/eacute
	/ecircumflex
	/edieresis
	/igrave
	/iacute
	/icircumflex
	/idieresis
	/eth			% missing
	/ntilde
	/ograve
	/oacute
	/ocircumflex
	/otilde
	/odieresis
	/divide			% missing
	/oslash
	/ugrave
	/uacute
	/ucircumflex
	/udieresis
	/yacute			% missing
	/thorn			% missing
	/ydieresis
] def

/NewFontDirectory FontDirectory maxlength dict def

%
% Apparently no guarantee findfont is defined in systemdict so the obvious
%
%	systemdict /findfont get exec
%
% can generate an error. 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
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			/DummyFontName exch definefont
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		NewFontDirectory 3 1 roll put
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	NewFontDirectory exch get
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%%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. L\363pez) 2469 1480 w
(rgl@antares-labs.eu) 2377 1760 w
10 /LucidaSansUnicode00 f
(Antares Telecom Laboratories) 2156 1960 w
(Albatera, Alicante) 2451 2100 w
10 /LucidaSans-Demi f
(1.) 720 2700 w
(Data Structures) 873 2700 w
(1.1.) 720 2940 w
(Point2) 962 2940 w
9 /LucidaTypewriter f
(struct) 920 3110 w
(Point2) 1375 3110 w
({) 1830 3110 w
(double) 1440 3220 w
(x,) 1895 3220 w
(y,) 2090 3220 w
(w;) 2285 3220 w
(};) 920 3330 w
10 /LucidaSans-Italic f
(Point2) 970 3546 w
10 /LucidaSansUnicode00 f
(represents) 1324 3546 w
(a) 1886 3546 w
(point) 1989 3546 w
(in) 2289 3546 w
(two-dimensional) 2428 3546 w
(projective) 3299 3546 w
(space,) 3823 3546 w
(which) 4179 3546 w
(itself) 4508 3546 w
(is) 4795 3546 w
(an) 4923 3546 w
(extension) 720 3666 w
(of) 1240 3666 w
(the) 1383 3666 w
(two-dimensional) 1583 3666 w
(euclidean) 2451 3666 w
(space) 2959 3666 w
(that) 3280 3666 w
(allows) 3516 3666 w
(us) 3862 3666 w
(to) 4019 3666 w
(work) 4161 3666 w
(with) 4442 3666 w
(vectors) 4691 3666 w
(and compose affine transformations in a friendly manner.) 720 3786 w
(A point) 3589 3786 w
(\() 2696 3966 w
(x) 2737 3966 w
(,) 2806 3966 w
(y) 2846 3966 w
(,) 2906 3966 w
(w) 2946 3966 w
(\)) 3031 3966 w
(made) 720 4146 w
(out) 1027 4146 w
(of) 1227 4146 w
(homogenous) 1365 4146 w
(coordinates) 2036 4146 w
10 /LucidaSans-Italic f
(x) 2643 4146 w
10 /LucidaSansUnicode00 f
(,) 2697 4146 w
10 /LucidaSans-Italic f
(y) 2769 4146 w
10 /LucidaSansUnicode00 f
(,) 2824 4146 w
(and) 2896 4146 w
10 /LucidaSans-Italic f
(w) 3116 4146 w
10 /LucidaSansUnicode00 f
(,) 3194 4146 w
(yields) 3267 4146 w
(a) 3588 4146 w
(point) 3684 4146 w
(with) 3977 4146 w
(cartesian) 4223 4146 w
(coordi\255) 4701 4146 w
(nates) 720 4266 w
(\() 2588 4446 w
(x) 2629 4446 w
(/) 2698 4446 w
(w) 2759 4446 w
(,) 2844 4446 w
(y) 2884 4446 w
(/) 2944 4446 w
(w) 3005 4446 w
(\)) 3090 4446 w
(.) 3139 4446 w
10 /LucidaSans-Demi f
(1.2.) 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
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(\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
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10 /LucidaSansUnicode00 f
(y) 3095 2971 w
7 /LucidaSansUnicode00 f
(b) 3158 2991 w
10 /LucidaSansUnicode00 f
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(w) 3298 2971 w
7 /LucidaSansUnicode00 f
(a) 3386 2991 w
10 /S f
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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
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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
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(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
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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
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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
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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 /LucidaSansUnicode00 f
(i) 2610 3005 w
(,) 2635 3005 w
(j) 2662 3005 w
10 /LucidaSansUnicode00 f
10 /S f
(=) 2747 2960 w
10 /LucidaSansUnicode00 f
7 /LucidaSansUnicode00 f
(k) 2859 3060 w
7 /S f
(=) 2911 3060 w
7 /LucidaSansUnicode00 f
(0) 2961 3060 w
15 /S f
(S) 2888 2990 w
7 /LucidaSansUnicode00 f
(4) 2858 2860 w
7 /S f
(-) 2913 2860 w
7 /LucidaSansUnicode00 f
(1) 2963 2860 w
10 /LucidaSans-Demi f
(A) 3023 2960 w
7 /LucidaSansUnicode00 f
(i) 3108 2980 w
(,) 3133 2980 w
(k) 3160 2980 w
10 /LucidaSans-Demi f
(B) 3217 2960 w
7 /LucidaSansUnicode00 f
(k) 3291 2980 w
(,) 3337 2980 w
(j) 3364 2980 w
10 /LucidaSans-Demi f
(Transpose) 720 3340 w
9 /LucidaTypewriter f
(void) 920 3510 w
(transposem3\(Matrix3) 1245 3510 w
(M\)) 2545 3510 w
10 /LucidaSansUnicode00 f
(\() 2552 3750 w
10 /LucidaSans-Demi f
(M) 2593 3750 w
7 /LucidaSansUnicode00 f
(T) 2689 3710 w
10 /LucidaSansUnicode00 f
(\)) 2749 3750 w
7 /LucidaSansUnicode00 f
(i) 2793 3770 w
(,) 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
(\() 4167 6120 w
(m) 4208 6120 w
7 /LucidaSansUnicode00 f
(20) 4312 6140 w
10 /LucidaSansUnicode00 f
(m) 4416 6120 w
7 /LucidaSansUnicode00 f
(31) 4520 6140 w
10 /S f
(-) 4632 6120 w
10 /LucidaSansUnicode00 f
(m) 4703 6120 w
7 /LucidaSansUnicode00 f
(21) 4807 6140 w
10 /LucidaSansUnicode00 f
(m) 4911 6120 w
7 /LucidaSansUnicode00 f
(30) 5015 6140 w
10 /LucidaSansUnicode00 f
(\)) 5119 6120 w
(\)) 5160 6120 w
10 /S f
(+) 1079 5960 w
10 /LucidaSansUnicode00 f
(m) 1150 5960 w
7 /LucidaSansUnicode00 f
(02) 1254 5980 w
10 /LucidaSansUnicode00 f
(\() 1358 5960 w
(m) 1399 5960 w
7 /LucidaSansUnicode00 f
(10) 1503 5980 w
10 /LucidaSansUnicode00 f
(\() 1607 5960 w
(m) 1648 5960 w
7 /LucidaSansUnicode00 f
(21) 1752 5980 w
10 /LucidaSansUnicode00 f
(m) 1856 5960 w
7 /LucidaSansUnicode00 f
(33) 1960 5980 w
10 /S f
(-) 2072 5960 w
10 /LucidaSansUnicode00 f
(m) 2143 5960 w
7 /LucidaSansUnicode00 f
(23) 2247 5980 w
10 /LucidaSansUnicode00 f
(m) 2351 5960 w
7 /LucidaSansUnicode00 f
(31) 2455 5980 w
10 /LucidaSansUnicode00 f
(\)) 2559 5960 w
10 /S f
(+) 2608 5960 w
10 /LucidaSansUnicode00 f
(m) 2679 5960 w
7 /LucidaSansUnicode00 f
(11) 2783 5980 w
10 /LucidaSansUnicode00 f
(\() 2887 5960 w
(m) 2928 5960 w
7 /LucidaSansUnicode00 f
(23) 3032 5980 w
10 /LucidaSansUnicode00 f
(m) 3136 5960 w
7 /LucidaSansUnicode00 f
(30) 3240 5980 w
10 /S f
(-) 3352 5960 w
10 /LucidaSansUnicode00 f
(m) 3423 5960 w
7 /LucidaSansUnicode00 f
(20) 3527 5980 w
10 /LucidaSansUnicode00 f
(m) 3631 5960 w
7 /LucidaSansUnicode00 f
(33) 3735 5980 w
10 /LucidaSansUnicode00 f
(\)) 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
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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