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|00000000| 5c 73 65 63 74 69 6f 6e | 7b 63 6f 6d 70 6c 65 6d |\section|{complem|
|00000010| 65 6e 74 20 2d 2d 2d 20 | 43 6f 6d 70 6c 65 6d 65 |ent --- |Compleme|
|00000020| 6e 74 20 6f 66 20 61 20 | 73 65 74 7d 0d 5c 6c 61 |nt of a |set}.\la|
|00000030| 62 65 6c 7b 66 6e 3a 63 | 6f 6d 70 6c 65 6d 65 6e |bel{fn:c|omplemen|
|00000040| 74 7d 0d 5c 69 6e 64 65 | 78 7b 63 6f 6d 70 6c 65 |t}.\inde|x{comple|
|00000050| 6d 65 6e 74 28 29 7d 0d | 5c 69 6e 64 65 78 7b 63 |ment()}.|\index{c|
|00000060| 6f 6d 70 6c 65 6d 65 6e | 74 20 6f 66 20 61 20 73 |omplemen|t of a s|
|00000070| 65 74 7d 0d 5c 69 6e 64 | 65 78 7b 73 65 74 21 63 |et}.\ind|ex{set!c|
|00000080| 6f 6d 70 6c 65 6d 65 6e | 74 7d 0d 5c 62 65 67 69 |omplemen|t}.\begi|
|00000090| 6e 7b 72 61 69 6c 7d 0d | 43 6f 6d 70 6c 65 6d 65 |n{rail}.|Compleme|
|000000a0| 6e 74 20 3a 20 27 63 6f | 6d 70 6c 65 6d 65 6e 74 |nt : 'co|mplement|
|000000b0| 27 20 27 28 27 20 4d 61 | 74 72 69 78 20 27 2c 27 |' '(' Ma|trix ','|
|000000c0| 20 4d 61 74 72 69 78 20 | 27 29 27 20 3b 0d 5c 65 | Matrix |')' ;.\e|
|000000d0| 6e 64 7b 72 61 69 6c 7d | 0d 0d 5c 76 65 72 62 2b |nd{rail}|..\verb+|
|000000e0| 63 6f 6d 70 6c 65 6d 65 | 6e 74 2b 20 74 61 6b 65 |compleme|nt+ take|
|000000f0| 73 20 74 77 6f 20 73 65 | 74 73 20 28 65 69 74 68 |s two se|ts (eith|
|00000100| 65 72 20 72 6f 77 20 6f | 72 20 63 6f 6c 75 6d 6e |er row o|r column|
|00000110| 20 76 65 63 74 6f 72 73 | 29 2c 20 61 6e 64 0d 66 | vectors|), and.f|
|00000120| 69 6e 64 73 20 74 68 65 | 20 63 6f 6d 70 6c 65 6d |inds the| complem|
|00000130| 65 6e 74 20 6f 66 20 74 | 68 65 20 66 69 72 73 74 |ent of t|he first|
|00000140| 20 73 65 74 20 69 6e 20 | 74 68 65 20 73 65 63 6f | set in |the seco|
|00000150| 6e 64 20 73 65 74 2e 20 | 20 54 68 69 73 20 6d 65 |nd set. | This me|
|00000160| 61 6e 73 0d 74 68 61 74 | 20 69 74 20 72 65 74 75 |ans.that| it retu|
|00000170| 72 6e 73 20 74 68 65 20 | 65 6c 65 6d 65 6e 74 73 |rns the |elements|
|00000180| 20 6f 66 20 74 68 65 20 | 73 65 63 6f 6e 64 20 73 | of the |second s|
|00000190| 65 74 20 74 68 61 74 20 | 61 72 65 20 6e 6f 74 20 |et that |are not |
|000001a0| 69 6e 0d 74 68 65 20 66 | 69 72 73 74 20 73 65 74 |in.the f|irst set|
|000001b0| 2e 0d 0d 24 5c 4c 6f 6e | 67 72 69 67 68 74 61 72 |...$\Lon|grightar|
|000001c0| 72 6f 77 24 20 54 68 69 | 73 20 69 73 20 6e 6f 74 |row$ Thi|s is not|
|000001d0| 20 61 6e 20 5c 52 4c 61 | 42 5c 20 62 75 69 6c 74 | an \RLa|B\ built|
|000001e0| 2d 69 6e 20 66 75 6e 63 | 74 69 6f 6e 2e 20 20 54 |-in func|tion.  T|
|000001f0| 68 69 73 20 66 75 6e 63 | 74 69 6f 6e 0d 69 73 20 |his func|tion.is |
|00000200| 6e 6f 72 6d 61 6c 6c 79 | 20 6c 6f 61 64 65 64 20 |normally| loaded |
|00000210| 6f 6e 20 73 74 61 72 74 | 2d 75 70 20 66 72 6f 6d |on start|-up from|
|00000220| 20 74 68 65 20 5c 76 65 | 72 62 2b 63 6f 6d 70 6c | the \ve|rb+compl|
|00000230| 65 6d 65 6e 74 2e 72 2b | 20 66 69 6c 65 20 69 6e |ement.r+| file in|
|00000240| 20 74 68 65 0d 73 74 61 | 6e 64 61 72 64 20 5c 76 | the.sta|ndard \v|
|00000250| 65 72 62 2b 72 6c 69 62 | 2b 20 64 69 72 65 63 74 |erb+rlib|+ direct|
|00000260| 6f 72 79 2e 20 55 73 65 | 20 6f 66 20 74 68 65 20 |ory. Use| of the |
|00000270| 5c 76 65 72 62 2b 2d 72 | 2b 20 6f 70 74 69 6f 6e |\verb+-r|+ option|
|00000280| 2c 20 69 6e 63 6f 72 72 | 65 63 74 6c 79 20 0d 73 |, incorr|ectly .s|
|00000290| 65 74 74 69 6e 67 20 74 | 68 65 20 5c 76 65 72 62 |etting t|he \verb|
|000002a0| 2b 52 4c 41 42 5f 4c 49 | 42 5f 44 49 52 2b 20 65 |+RLAB_LI|B_DIR+ e|
|000002b0| 6e 76 69 72 6f 6e 6d 65 | 6e 74 61 6c 20 76 61 72 |nvironme|ntal var|
|000002c0| 69 61 62 6c 65 2c 20 6f | 72 20 6d 6f 64 69 66 79 |iable, o|r modify|
|000002d0| 69 6e 67 0d 5c 76 65 72 | 62 2b 63 6f 6d 70 6c 65 |ing.\ver|b+comple|
|000002e0| 6d 65 6e 74 2e 72 2b 20 | 6d 61 79 20 6d 61 6b 65 |ment.r+ |may make|
|000002f0| 20 74 68 69 73 20 66 75 | 6e 63 74 69 6f 6e 20 75 | this fu|nction u|
|00000300| 6e 61 76 61 69 6c 61 62 | 6c 65 2e 0d 0d 0d 5c 70 |navailab|le....\p|
|00000310| 61 72 61 67 72 61 70 68 | 7b 45 78 61 6d 70 6c 65 |aragraph|{Example|
|00000320| 7d 0d 5c 69 6e 64 65 78 | 7b 65 78 61 6d 70 6c 65 |}.\index|{example|
|00000330| 20 6f 66 20 63 6f 6d 70 | 6c 65 6d 65 6e 74 28 29 | of comp|lement()|
|00000340| 7d 0d 5c 69 6e 64 65 78 | 7b 63 6f 6d 70 6c 65 6d |}.\index|{complem|
|00000350| 65 6e 74 28 29 21 65 78 | 61 6d 70 6c 65 7d 0d 5c |ent()!ex|ample}.\|
|00000360| 62 65 67 69 6e 7b 76 65 | 72 62 61 74 69 6d 7d 0d |begin{ve|rbatim}.|
|00000370| 3e 20 61 20 3d 20 5b 31 | 2c 34 2c 2d 34 35 2c 32 |> a = [1|,4,-45,2|
|00000380| 34 2c 34 2e 36 35 5d 0d | 20 61 20 3d 0d 20 20 20 |4,4.65].| a =.   |
|00000390| 20 20 20 20 20 31 20 20 | 20 20 20 20 20 20 20 20 |     1  |        |
|000003a0| 34 20 20 20 20 20 20 20 | 20 2d 34 35 20 20 20 20 |4       | -45    |
|000003b0| 20 20 20 20 20 32 34 20 | 20 20 20 20 20 20 34 2e |     24 |      4.|
|000003c0| 36 35 20 20 0d 3e 20 62 | 20 3d 20 5b 30 2c 34 33 |65  .> b| = [0,43|
|000003d0| 33 2c 34 33 2c 31 2c 34 | 2e 36 35 2c 34 2c 32 2c |3,43,1,4|.65,4,2,|
|000003e0| 32 34 5d 0d 20 62 20 3d | 0d 20 6d 61 74 72 69 78 |24]. b =|. matrix|
|000003f0| 20 63 6f 6c 75 6d 6e 73 | 20 31 20 74 68 72 75 20 | columns| 1 thru |
|00000400| 36 0d 20 20 20 20 20 20 | 20 20 30 20 20 20 20 20 |6.      |  0     |
|00000410| 20 20 20 34 33 33 20 20 | 20 20 20 20 20 20 20 34 |   433  |       4|
|00000420| 33 20 20 20 20 20 20 20 | 20 20 20 31 20 20 20 20 |3       |   1    |
|00000430| 20 20 20 34 2e 36 35 20 | 20 20 20 20 20 20 20 20 |   4.65 |        |
|00000440| 20 34 20 20 0d 0d 20 6d | 61 74 72 69 78 20 63 6f | 4  .. m|atrix co|
|00000450| 6c 75 6d 6e 73 20 37 20 | 74 68 72 75 20 38 0d 20 |lumns 7 |thru 8. |
|00000460| 20 20 20 20 20 20 20 32 | 20 20 20 20 20 20 20 20 |       2|        |
|00000470| 20 32 34 20 20 0d 3e 20 | 63 6f 6d 70 6c 65 6d 65 | 24  .> |compleme|
|00000480| 6e 74 28 61 2c 62 29 0d | 20 20 20 20 20 20 20 20 |nt(a,b).|        |
|00000490| 30 20 20 20 20 20 20 20 | 20 20 20 32 20 20 20 20 |0       |   2    |
|000004a0| 20 20 20 20 20 34 33 20 | 20 20 20 20 20 20 20 34 |     43 |       4|
|000004b0| 33 33 20 0d 5c 65 6e 64 | 7b 76 65 72 62 61 74 69 |33 .\end|{verbati|
|000004c0| 6d 7d 0d 0d 53 65 65 20 | 61 6c 73 6f 3a 20 50 61 |m}..See |also: Pa|
|000004d0| 67 65 7e 5c 70 61 67 65 | 72 65 66 7b 66 6e 3a 69 |ge~\page|ref{fn:i|
|000004e0| 6e 74 65 72 73 65 63 74 | 69 6f 6e 7d 20 5c 76 65 |ntersect|ion} \ve|
|000004f0| 72 62 2b 69 6e 74 65 72 | 73 65 63 74 69 6f 6e 28 |rb+inter|section(|
|00000500| 29 2b 2c 0d 50 61 67 65 | 7e 5c 70 61 67 65 72 65 |)+,.Page|~\pagere|
|00000510| 66 7b 66 6e 3a 73 65 74 | 7d 20 5c 76 65 72 62 2b |f{fn:set|} \verb+|
|00000520| 73 65 74 28 29 2b 2c 0d | 50 61 67 65 7e 5c 70 61 |set()+,.|Page~\pa|
|00000530| 67 65 72 65 66 7b 66 6e | 3a 75 6e 69 6f 6e 7d 20 |geref{fn|:union} |
|00000540| 5c 76 65 72 62 2b 75 6e | 69 6f 6e 28 29 2b 2e 0d |\verb+un|ion()+..|
|00000550| 0d 5c 6e 65 77 70 61 67 | 65 0d 0d                |.\newpag|e..     |
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