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MacBinary II, Sun Mar 26 12:24:31 2000, modified Sun Mar 26 12:24:31 2000, creator 'MPad', type ASCII, 19697 bytes "MathPad.help" , at 0x4d71 518 bytes resource
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id metadata key value macFileType [ TEXT] macFileCreator [ MPad]
hex view +--------+-------------------------+-------------------------+--------+--------+ |00000000| 00 0c 4d 61 74 68 50 61 | 64 2e 68 65 6c 70 00 00 |..MathPa|d.help..| |00000010| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........| |00000020| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........| |00000030| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........| |00000040| 00 54 45 58 54 4d 50 61 | 64 00 00 00 00 00 00 00 |.TEXTMPa|d.......| |00000050| 00 00 00 00 00 4c f1 00 | 00 02 06 b5 03 f8 4f b5 |.....L..|......O.| |00000060| 03 f8 4f 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |..O.....|........| |00000070| 00 00 00 00 00 00 00 00 | 00 00 81 81 f5 89 00 00 |........|........| |00000080| 0d 2d 2d 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.-- | | |00000090| 20 20 20 20 20 20 20 20 | 20 20 20 20 4d 61 74 68 | | Math| |000000a0| 50 61 64 20 32 2e 35 0d | 0d 2d 2d 20 4d 61 74 68 |Pad 2.5.|.-- Math| |000000b0| 50 61 64 20 69 73 20 61 | 20 67 65 6e 65 72 61 6c |Pad is a| general| |000000c0| 20 70 75 72 70 6f 73 65 | 20 67 72 61 70 68 69 6e | purpose| graphin| |000000d0| 67 20 73 63 69 65 6e 74 | 69 66 69 63 20 63 61 6c |g scient|ific cal| |000000e0| 63 75 6c 61 74 6f 72 2e | 20 49 74 20 75 73 65 73 |culator.| It uses| |000000f0| 20 74 65 78 74 20 69 6e | 70 75 74 20 72 61 74 68 | text in|put rath| |00000100| 65 72 20 74 68 61 6e 20 | 73 69 6d 75 6c 61 74 69 |er than |simulati| |00000110| 6e 67 20 62 75 74 74 6f | 6e 73 20 6f 6e 20 61 20 |ng butto|ns on a | |00000120| 68 61 6e 64 20 68 65 6c | 64 20 63 61 6c 63 75 6c |hand hel|d calcul| |00000130| 61 74 6f 72 2e 20 54 68 | 69 73 20 6c 69 76 65 20 |ator. Th|is live | |00000140| 73 63 72 61 74 63 68 70 | 61 64 20 69 6e 74 65 72 |scratchp|ad inter| |00000150| 66 61 63 65 20 61 6c 6c | 6f 77 73 20 79 6f 75 20 |face all|ows you | |00000160| 74 6f 20 73 65 65 20 61 | 6e 64 20 65 64 69 74 20 |to see a|nd edit | |00000170| 79 6f 75 72 20 65 6e 74 | 69 72 65 20 63 61 6c 63 |your ent|ire calc| |00000180| 75 6c 61 74 69 6f 6e 2e | 0d 0d 2d 2d 20 54 68 69 |ulation.|..-- Thi| |00000190| 73 20 66 69 6c 65 20 6c | 69 73 74 73 20 74 68 65 |s file l|ists the| |000001a0| 20 62 61 73 69 63 20 63 | 61 70 61 62 69 6c 69 74 | basic c|apabilit| |000001b0| 69 65 73 20 6f 66 20 4d | 61 74 68 50 61 64 20 6d |ies of M|athPad m| |000001c0| 61 69 6e 6c 79 20 62 79 | 20 67 69 76 69 6e 67 20 |ainly by| giving | |000001d0| 73 68 6f 72 74 20 65 78 | 61 6d 70 6c 65 73 2e 20 |short ex|amples. | |000001e0| 54 68 69 73 20 65 6e 74 | 69 72 65 20 66 69 6c 65 |This ent|ire file| |000001f0| 20 63 61 6e 20 62 65 20 | 65 76 61 6c 75 61 74 65 | can be |evaluate| |00000200| 64 20 62 79 20 4d 61 74 | 68 50 61 64 20 62 75 74 |d by Mat|hPad but| |00000210| 20 69 74 20 69 73 20 70 | 72 6f 62 61 62 6c 79 20 | it is p|robably | |00000220| 6d 6f 72 65 20 63 6f 6e | 76 65 6e 69 65 6e 74 20 |more con|venient | |00000230| 74 6f 20 6f 70 65 6e 20 | 61 20 6e 65 77 20 77 69 |to open |a new wi| |00000240| 6e 64 6f 77 2c 20 63 6f | 70 79 20 61 20 73 69 6e |ndow, co|py a sin| |00000250| 67 6c 65 20 65 78 61 6d | 70 6c 65 20 61 74 20 61 |gle exam|ple at a| |00000260| 74 20 74 69 6d 65 20 61 | 6e 64 20 65 78 70 65 72 |t time a|nd exper| |00000270| 69 6d 65 6e 74 20 77 69 | 74 68 20 69 74 2e 0d 0d |iment wi|th it...| |00000280| 2d 2d 20 54 68 65 20 22 | 45 78 61 6d 70 6c 65 73 |-- The "|Examples| |00000290| 22 20 66 6f 6c 64 65 72 | 20 69 6e 63 6c 75 64 65 |" folder| include| |000002a0| 64 20 77 69 74 68 20 74 | 68 69 73 20 64 69 73 74 |d with t|his dist| |000002b0| 72 69 62 75 74 69 6f 6e | 20 63 6f 6e 74 61 69 6e |ribution| contain| |000002c0| 73 20 73 6f 6d 65 20 6c | 6f 6e 67 65 72 20 65 78 |s some l|onger ex| |000002d0| 61 6d 70 6c 65 73 20 61 | 6e 64 20 75 74 69 6c 69 |amples a|nd utili| |000002e0| 74 79 20 66 75 6e 63 74 | 69 6f 6e 73 2e 20 54 68 |ty funct|ions. 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Func| |00001370| 74 69 6f 6e 73 20 64 69 | 66 66 65 72 20 66 72 6f |tions di|ffer fro| |00001380| 6d 20 65 71 75 61 74 69 | 6f 6e 73 20 69 6e 20 74 |m equati|ons in t| |00001390| 68 61 74 20 74 68 65 69 | 72 20 70 61 72 61 6d 65 |hat thei|r parame| |000013a0| 74 65 72 20 6e 61 6d 65 | 73 20 72 65 66 65 72 20 |ter name|s refer | |000013b0| 74 6f 20 74 65 6d 70 6f | 72 61 72 79 20 76 61 72 |to tempo|rary var| |000013c0| 69 61 62 6c 65 73 20 74 | 68 61 74 20 63 61 6e 20 |iables t|hat can | |000013d0| 74 61 6b 65 20 6f 6e 20 | 64 69 66 66 65 72 65 6e |take on |differen| |000013e0| 74 20 76 61 6c 75 65 73 | 20 65 61 63 68 20 74 69 |t values| each ti| |000013f0| 6d 65 20 74 68 65 20 66 | 75 6e 63 74 69 6f 6e 20 |me the f|unction | |00001400| 69 73 20 63 61 6c 6c 65 | 64 2e 0d 0d 20 20 20 46 |is calle|d... F| |00001410| 6f 72 63 65 28 6d 61 73 | 73 2c 61 63 63 65 6c 29 |orce(mas|s,accel)| |00001420| 3d 6d 61 73 73 2a 61 63 | 63 65 6c 0d 20 20 20 46 |=mass*ac|cel. 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Nm|in=1; N| |00002200| 6d 61 78 3d 35 3b 20 20 | 20 20 20 4e 73 74 65 70 |max=5; | Nstep| |00002210| 73 3d 35 0d 20 74 61 62 | 6c 65 20 20 20 20 4e 2c |s=5. tab|le N,| |00002220| 20 20 20 20 20 20 20 4e | 5e 32 2c 20 20 20 20 20 | N|^2, | |00002230| 20 20 4e 5e 33 0d 20 20 | 20 20 20 20 20 20 31 2e | N^3. | 1.| |00002240| 30 20 20 20 20 20 20 20 | 20 31 2e 30 20 20 20 20 |0 | 1.0 | |00002250| 20 20 20 20 31 2e 30 0d | 20 20 20 20 20 20 20 20 | 1.0.| | |00002260| 32 2e 30 20 20 20 20 20 | 20 20 20 34 2e 30 20 20 |2.0 | 4.0 | |00002270| 20 20 20 20 20 20 38 2e | 30 0d 20 20 20 20 20 20 | 8.|0. | |00002280| 20 20 33 2e 30 20 20 20 | 20 20 20 20 20 39 2e 30 | 3.0 | 9.0| |00002290| 20 20 20 20 20 20 20 32 | 37 2e 30 0d 20 20 20 20 | 2|7.0. | |000022a0| 20 20 20 20 34 2e 30 20 | 20 20 20 20 20 20 31 36 | 4.0 | 16| |000022b0| 2e 30 20 20 20 20 20 20 | 20 36 34 2e 30 0d 20 20 |.0 | 64.0. | |000022c0| 20 20 20 20 20 20 35 2e | 30 20 20 20 20 20 20 20 | 5.|0 | |000022d0| 32 35 2e 30 20 20 20 20 | 20 20 31 32 35 2e 30 0d |25.0 | 125.0.| |000022e0| 0d 2d 2d 20 54 61 62 6c | 65 73 20 61 72 65 20 68 |.-- Tabl|es are h| |000022f0| 61 6e 64 6c 65 64 20 69 | 6e 20 74 68 65 20 73 61 |andled i|n the sa| |00002300| 6d 65 20 77 61 79 20 61 | 73 20 70 6c 6f 74 73 20 |me way a|s plots | |00002310| 65 78 63 65 70 74 20 74 | 68 61 74 20 74 68 65 20 |except t|hat the | |00002320| 72 65 73 75 6c 74 73 20 | 61 72 65 20 69 6e 73 65 |results |are inse| |00002330| 72 74 65 64 20 61 73 20 | 63 6f 6c 75 6d 6e 73 20 |rted as |columns | |00002340| 69 6e 20 74 68 65 20 74 | 65 78 74 20 77 69 6e 64 |in the t|ext wind| |00002350| 6f 77 2e 20 46 6f 72 20 | 74 61 62 6c 65 73 20 74 |ow. For |tables t| |00002360| 68 65 20 69 6e 64 65 70 | 65 6e 64 65 6e 74 20 76 |he indep|endent v| |00002370| 61 72 69 61 62 6c 65 20 | 69 73 20 22 4e 22 20 61 |ariable |is "N" a| |00002380| 6e 64 20 74 68 65 20 63 | 6f 6e 74 72 6f 6c 20 76 |nd the c|ontrol v| |00002390| 61 72 69 61 62 6c 65 73 | 20 61 72 65 20 22 4e 6d |ariables| are "Nm| |000023a0| 69 6e 22 2c 20 20 22 4e | 6d 61 78 22 20 20 61 6e |in", "N|max" an| |000023b0| 64 20 22 4e 73 74 65 70 | 73 22 2e 0d 2d 2d 20 4e |d "Nstep|s"..-- N| |000023c0| 73 74 65 70 73 20 69 73 | 20 6c 69 6d 69 74 65 64 |steps is| limited| |000023d0| 20 74 6f 20 31 30 30 30 | 20 74 6f 20 70 72 65 76 | to 1000| to prev| |000023e0| 65 6e 74 20 61 63 63 69 | 64 65 6e 74 73 20 66 72 |ent acci|dents fr| |000023f0| 6f 6d 20 69 6e 73 65 72 | 74 69 6e 67 20 68 75 67 |om inser|ting hug| |00002400| 65 20 61 6d 6f 75 6e 74 | 73 20 6f 66 20 74 65 78 |e amount|s of tex| |00002410| 74 2e 20 55 73 65 20 74 | 68 65 20 77 72 69 74 65 |t. Use t|he write| |00002420| 28 29 20 66 75 6e 63 74 | 69 6f 6e 20 66 6f 72 20 |() funct|ion for | |00002430| 6c 61 72 67 65 20 74 61 | 62 6c 65 73 2e 0d 2d 2d |large ta|bles..--| |00002440| 20 44 6f 20 6e 6f 74 20 | 61 64 64 20 61 6e 79 20 | Do not |add any | |00002450| 74 65 78 74 20 74 6f 20 | 74 68 65 20 6f 75 74 70 |text to |the outp| |00002460| 75 74 20 63 6f 6c 75 6d | 6e 73 20 62 65 63 61 75 |ut colum|ns becau| |00002470| 73 65 20 74 68 65 20 74 | 61 62 6c 65 20 63 6f 6d |se the t|able com| |00002480| 6d 61 6e 64 20 77 69 6c | 6c 20 6e 6f 74 20 62 65 |mand wil|l not be| |00002490| 20 61 62 6c 65 20 74 6f | 20 70 72 6f 70 65 72 6c | able to| properl| |000024a0| 79 20 64 65 6c 65 74 65 | 20 74 68 65 20 74 61 62 |y delete| the tab| |000024b0| 6c 65 20 62 65 66 6f 72 | 65 20 72 65 65 76 61 6c |le befor|e reeval| |000024c0| 75 61 74 69 6e 67 2e 0d | 2d 2d 20 49 66 20 74 61 |uating..|-- If ta| |000024d0| 62 6c 65 20 69 73 20 75 | 73 65 64 20 77 69 74 68 |ble is u|sed with| |000024e0| 20 61 20 73 69 6e 67 6c | 65 20 65 78 70 72 65 73 | a singl|e expres| |000024f0| 73 69 6f 6e 20 74 68 61 | 74 20 69 73 20 61 20 31 |sion tha|t is a 1| |00002500| 44 20 6f 72 20 32 44 20 | 61 72 72 61 79 2c 20 74 |D or 2D |array, t| |00002510| 68 65 20 61 72 72 61 79 | 20 65 6c 65 6d 65 6e 74 |he array| element| |00002520| 73 20 77 69 6c 6c 20 62 | 65 20 70 72 69 6e 74 65 |s will b|e printe| |00002530| 64 20 6f 75 74 2e 20 54 | 68 65 20 76 61 6c 75 65 |d out. T|he value| |00002540| 73 20 6f 66 20 4e 6d 69 | 6e 2c 4e 6d 61 78 20 61 |s of Nmi|n,Nmax a| |00002550| 6e 64 20 4e 73 74 65 70 | 73 20 61 72 65 20 69 67 |nd Nstep|s are ig| |00002560| 6e 6f 72 65 64 2e 0d 0d | 2d 2d 2d 2d 2d 2d 2d 2d |nored...|--------| |00002570| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 20 41 72 72 61 |--------|--- Arra| |00002580| 79 73 20 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |ys -----|--------| |00002590| 0d 20 41 3d 7b 31 30 2c | 32 30 2c 33 30 7d 09 20 |. A={10,|20,30}. | |000025a0| 20 2d 2d 20 44 65 66 69 | 6e 65 73 20 61 20 33 20 | -- Defi|nes a 3 | |000025b0| 65 6c 65 6d 65 6e 74 20 | 61 72 72 61 79 2e 0d 20 |element |array.. | |000025c0| 41 5b 32 5d 3a 32 30 2e | 30 3b 20 20 20 20 20 2d |A[2]:20.|0; -| |000025d0| 2d 20 41 63 63 65 73 73 | 65 73 20 74 68 65 20 32 |- Access|es the 2| |000025e0| 6e 64 20 65 6c 65 6d 65 | 6e 74 2e 20 49 6e 64 65 |nd eleme|nt. Inde| |000025f0| 78 20 76 61 6c 75 65 73 | 20 73 74 61 72 74 20 61 |x values| start a| |00002600| 74 20 31 2e 0d 20 42 3d | 7b 41 2c 7b 34 30 2c 35 |t 1.. B=|{A,{40,5| |00002610| 30 2c 36 30 7d 2c 41 2b | 31 7d 20 20 20 2d 2d 20 |0,60},A+|1} -- | |00002620| 4d 75 6c 74 69 64 69 6d | 65 6e 73 69 6f 6e 61 6c |Multidim|ensional| |00002630| 20 61 72 72 61 79 2e 0d | 20 42 3a 7b 7b 31 30 2e | array..| B:{{10.| |00002640| 30 2c 32 30 2e 30 2c 33 | 30 2e 30 7d 2c 7b 34 30 |0,20.0,3|0.0},{40| |00002650| 2e 30 2c 35 30 2e 30 2c | 36 30 2e 30 7d 2c 7b 31 |.0,50.0,|60.0},{1| |00002660| 31 2e 30 2c 32 31 2e 30 | 2c 33 31 2e 30 7d 7d 0d |1.0,21.0|,31.0}}.| |00002670| 20 42 5b 31 5d 3a 7b 31 | 30 2e 30 2c 32 30 2e 30 | B[1]:{1|0.0,20.0| |00002680| 2c 33 30 2e 30 7d 0d 20 | 42 5b 31 5d 5b 32 5d 3a |,30.0}. |B[1][2]:| |00002690| 32 30 2e 30 0d 20 42 5b | 31 2c 32 5d 3a 32 30 2e |20.0. B[|1,2]:20.| |000026a0| 30 3b 20 20 20 20 20 20 | 20 20 2d 2d 20 42 6f 74 |0; | -- Bot| |000026b0| 68 20 66 6f 72 6d 73 20 | 6f 66 20 69 6e 64 65 78 |h forms |of index| |000026c0| 69 6e 67 20 61 72 65 20 | 61 6c 6c 6f 77 65 64 0d |ing are |allowed.| |000026d0| 0d 20 41 5b 32 3a 33 5d | 3a 7b 32 30 2e 30 2c 33 |. A[2:3]|:{20.0,3| |000026e0| 30 2e 30 7d 3b 20 2d 2d | 20 5b 6c 6f 3a 68 69 5d |0.0}; --| [lo:hi]| |000026f0| 20 73 65 6c 65 63 74 73 | 20 61 20 73 75 62 20 61 | selects| a sub a| |00002700| 72 72 61 79 2e 0d 20 41 | 5b 32 3a 33 5d 5b 32 3a |rray.. A|[2:3][2:| |00002710| 32 5d 3a 7b 33 30 2e 30 | 7d 3b 20 2d 2d 20 63 6f |2]:{30.0|}; -- co| |00002720| 6e 73 65 63 75 74 69 76 | 65 20 73 65 6c 65 63 74 |nsecutiv|e select| |00002730| 69 6f 6e 73 20 6f 70 65 | 72 61 74 65 20 6f 6e 20 |ions ope|rate on | |00002740| 74 68 65 20 73 61 6d 65 | 20 64 69 6d 65 6e 73 69 |the same| dimensi| |00002750| 6f 6e 0d 20 41 5b 3a 32 | 5d 3a 7b 31 30 2e 30 2c |on. A[:2|]:{10.0,| |00002760| 32 30 2e 30 7d 3b 20 20 | 2d 2d 20 6c 6f 20 61 6e |20.0}; |-- lo an| |00002770| 64 2f 6f 72 20 68 69 20 | 6d 61 79 20 62 65 20 6f |d/or hi |may be o| |00002780| 6d 69 74 74 65 64 2e 0d | 20 42 5b 32 3a 5d 3a 7b |mitted..| B[2:]:{| |00002790| 7b 34 30 2e 30 2c 35 30 | 2e 30 2c 36 30 2e 30 7d |{40.0,50|.0,60.0}| |000027a0| 2c 7b 31 31 2e 30 2c 32 | 31 2e 30 2c 33 31 2e 30 |,{11.0,2|1.0,31.0| |000027b0| 7d 7d 0d 0d 20 51 5b 69 | 5d 3d 69 2a 31 31 20 20 |}}.. Q[i|]=i*11 | |000027c0| 2d 2d 41 72 72 61 79 73 | 20 63 61 6e 20 62 65 20 |--Arrays| can be | |000027d0| 64 65 66 69 6e 65 64 20 | 69 6e 20 74 65 72 6d 73 |defined |in terms| |000027e0| 20 6f 66 20 74 68 65 69 | 72 20 69 6e 64 65 78 20 | of thei|r index | |000027f0| 76 61 6c 75 65 73 2e 0d | 20 51 5b 32 5d 3a 32 32 |values..| Q[2]:22| |00002800| 2e 30 0d 0d 2d 2d 64 69 | 6d 5b 5d 20 69 73 20 75 |.0..--di|m[] is u| |00002810| 73 65 64 20 74 6f 20 73 | 65 74 20 74 68 65 20 6e |sed to s|et the n| |00002820| 75 6d 62 65 72 20 6f 66 | 20 65 6c 65 6d 65 6e 74 |umber of| element| |00002830| 73 20 66 6f 72 20 61 6e | 20 61 72 72 61 79 20 64 |s for an| array d| |00002840| 65 66 69 6e 69 74 69 6f | 6e 2e 20 49 66 20 74 68 |efinitio|n. If th| |00002850| 65 20 65 78 70 72 65 73 | 73 69 6f 6e 20 66 6f 72 |e expres|sion for| |00002860| 20 6e 75 6d 62 65 72 20 | 6f 66 20 65 6c 65 6d 65 | number |of eleme| |00002870| 6e 74 73 20 69 73 20 75 | 6e 6b 6e 6f 77 6e 20 6f |nts is u|nknown o| |00002880| 72 20 3c 20 30 2c 20 74 | 68 61 74 20 64 69 6d 65 |r < 0, t|hat dime| |00002890| 6e 73 69 6f 6e 20 62 65 | 63 6f 6d 65 73 20 69 6e |nsion be|comes in| |000028a0| 66 69 6e 69 74 65 2e 20 | 64 69 6d 5b 30 5d 20 69 |finite. |dim[0] i| |000028b0| 73 20 65 71 75 69 76 61 | 6c 65 6e 74 20 74 6f 20 |s equiva|lent to | |000028c0| 64 69 6d 5b 31 5d 2e 0d | 20 49 5b 69 2c 6a 5d 20 |dim[1]..| I[i,j] | |000028d0| 3d 20 31 20 77 68 65 6e | 20 69 3d 6a 2c 30 20 6f |= 1 when| i=j,0 o| |000028e0| 74 68 65 72 77 69 73 65 | 20 20 20 64 69 6d 5b 33 |therwise| dim[3| |000028f0| 2c 33 5d 0d 20 49 3a 7b | 7b 31 2e 30 2c 30 2e 30 |,3]. I:{|{1.0,0.0| |00002900| 2c 30 2e 30 7d 2c 7b 30 | 2e 30 2c 31 2e 30 2c 30 |,0.0},{0|.0,1.0,0| |00002910| 2e 30 7d 2c 7b 30 2e 30 | 2c 30 2e 30 2c 31 2e 30 |.0},{0.0|,0.0,1.0| |00002920| 7d 7d 0d 0d 2d 2d 41 72 | 72 61 79 73 20 6d 61 79 |}}..--Ar|rays may| |00002930| 20 62 65 20 75 73 65 64 | 20 66 72 65 65 6c 79 20 | be used| freely | |00002940| 69 6e 20 65 78 70 72 65 | 73 73 69 6f 6e 73 2e 20 |in expre|ssions. | |00002950| 4f 70 65 72 61 74 69 6f | 6e 73 20 61 72 65 20 70 |Operatio|ns are p| |00002960| 65 72 66 6f 72 6d 65 64 | 20 6f 6e 20 65 61 63 68 |erformed| on each| |00002970| 20 65 6c 65 6d 65 6e 74 | 2e 20 53 63 61 6c 61 72 | element|. Scalar| |00002980| 73 20 61 72 65 20 65 78 | 74 65 6e 64 65 64 20 74 |s are ex|tended t| |00002990| 6f 20 63 6f 6e 74 61 69 | 6e 20 61 73 20 6d 61 6e |o contai|n as man| |000029a0| 79 20 65 6c 65 6d 65 6e | 74 73 20 61 73 20 6e 65 |y elemen|ts as ne| |000029b0| 65 64 65 64 2e 0d 20 41 | 2b 51 3a 7b 32 31 2e 30 |eded.. A|+Q:{21.0| |000029c0| 2c 34 32 2e 30 2c 36 33 | 2e 30 7d 0d 20 32 2b 41 |,42.0,63|.0}. 2+A| |000029d0| 3a 7b 31 32 2e 30 2c 32 | 32 2e 30 2c 33 32 2e 30 |:{12.0,2|2.0,32.0| |000029e0| 7d 0d 20 6c 6f 67 28 41 | 29 3a 7b 31 2e 30 2c 31 |}. log(A|):{1.0,1| |000029f0| 2e 33 2c 31 2e 35 7d 0d | 20 41 2a 51 3a 7b 31 31 |.3,1.5}.| A*Q:{11| |00002a00| 30 2e 30 2c 34 34 30 2e | 30 2c 39 39 30 2e 30 7d |0.0,440.|0,990.0}| |00002a10| 3b 20 2d 2d 4e 6f 74 65 | 3a 20 74 68 69 73 20 69 |; --Note|: this i| |00002a20| 73 20 6e 6f 74 20 6d 61 | 74 72 69 78 20 6d 75 6c |s not ma|trix mul| |00002a30| 74 69 70 6c 79 0d 2d 2d | 20 51 5b 41 5d 3a 3f 20 |tiply.--| Q[A]:? | |00002a40| 41 5b 5d 3f 3b 20 20 20 | 20 20 20 20 20 20 20 20 |A[]?; | | |00002a50| 2d 2d 41 72 72 61 79 73 | 20 6d 61 79 20 6e 6f 74 |--Arrays| may not| |00002a60| 20 62 65 20 75 73 65 64 | 20 61 73 20 69 6e 64 65 | be used| as inde| |00002a70| 78 20 76 61 6c 75 65 73 | 2e 0d 0d 2d 2d 20 46 6f |x values|...-- Fo| |00002a80| 72 20 6c 61 72 67 65 20 | 61 72 72 61 79 73 20 6f |r large |arrays o| |00002a90| 6e 6c 79 20 74 68 65 20 | 66 69 72 73 74 20 66 65 |nly the |first fe| |00002aa0| 77 20 65 6c 65 6d 65 6e | 74 73 20 69 6e 20 65 61 |w elemen|ts in ea| |00002ab0| 63 68 20 64 69 6d 65 6e | 73 69 6f 6e 20 61 72 65 |ch dimen|sion are| |00002ac0| 20 70 72 69 6e 74 65 64 | 20 66 6f 6c 6c 6f 77 65 | printed| followe| |00002ad0| 64 20 62 79 20 2e 2e 2e | 20 74 6f 20 69 6e 64 69 |d by ...| to indi| |00002ae0| 63 61 74 65 20 74 68 61 | 74 20 74 68 65 72 65 20 |cate tha|t there | |00002af0| 61 72 65 20 6d 6f 72 65 | 20 65 6c 65 6d 65 6e 74 |are more| element| |00002b00| 73 2e 0d 20 51 3a 7b 31 | 31 2e 30 2c 32 32 2e 30 |s.. Q:{1|1.0,22.0| |00002b10| 2c 33 33 2e 30 2c 2e 2e | 2e 7d 0d 2d 2d 55 73 65 |,33.0,..|.}.--Use| |00002b20| 20 74 61 62 6c 65 20 74 | 6f 20 6f 75 74 70 75 74 | table t|o output| |00002b30| 20 6d 65 64 69 75 6d 20 | 73 69 7a 65 64 20 31 44 | medium |sized 1D| |00002b40| 20 6f 72 20 32 44 20 61 | 72 72 61 79 73 2e 0d 20 | or 2D a|rrays.. | |00002b50| 74 61 62 6c 65 20 42 0d | 20 20 20 20 20 20 20 31 |table B.| 1| |00002b60| 30 2e 30 20 20 20 20 20 | 20 20 32 30 2e 30 20 20 |0.0 | 20.0 | |00002b70| 20 20 20 20 20 33 30 2e | 30 0d 20 20 20 20 20 20 | 30.|0. | |00002b80| 20 34 30 2e 30 20 20 20 | 20 20 20 20 35 30 2e 30 | 40.0 | 50.0| |00002b90| 20 20 20 20 20 20 20 36 | 30 2e 30 0d 20 20 20 20 | 6|0.0. | |00002ba0| 20 20 20 31 31 2e 30 20 | 20 20 20 20 20 20 32 31 | 11.0 | 21| |00002bb0| 2e 30 20 20 20 20 20 20 | 20 33 31 2e 30 0d 0d 2d |.0 | 31.0..-| |00002bc0| 2d 46 75 6e 63 74 69 6f | 6e 73 20 63 61 6e 20 75 |-Functio|ns can u| |00002bd0| 73 65 20 69 6e 64 65 78 | 20 76 61 6c 75 65 73 0d |se index| values.| |00002be0| 20 73 6b 69 70 28 7a 7a | 2c 62 79 29 5b 69 5d 20 | skip(zz|,by)[i] | |00002bf0| 3d 20 7a 7a 5b 69 2a 62 | 79 5d 0d 20 73 6b 69 70 |= zz[i*b|y]. skip| |00002c00| 28 51 2c 32 29 3a 7b 32 | 32 2e 30 2c 34 34 2e 30 |(Q,2):{2|2.0,44.0| |00002c10| 2c 36 36 2e 30 2c 2e 2e | 2e 7d 0d 20 6d 75 6c 74 |,66.0,..|.}. mult| |00002c20| 69 70 6c 79 28 41 2c 42 | 29 5b 69 2c 6a 5d 20 3d |iply(A,B|)[i,j] =| |00002c30| 20 73 75 6d 28 41 5b 69 | 2c 6b 5d 2a 42 5b 6b 2c | sum(A[i|,k]*B[k,| |00002c40| 6a 5d 2c 6b 2c 31 2c 63 | 6f 75 6e 74 28 42 29 29 |j],k,1,c|ount(B))| |00002c50| 20 64 69 6d 5b 63 6f 75 | 6e 74 28 41 29 2c 63 6f | dim[cou|nt(A),co| |00002c60| 75 6e 74 28 42 5b 31 5d | 29 5d 0d 20 6d 75 6c 74 |unt(B[1]|)]. mult| |00002c70| 69 70 6c 79 28 7b 41 7d | 2c 49 29 3a 7b 7b 31 30 |iply({A}|,I):{{10| |00002c80| 2e 30 2c 32 30 2e 30 2c | 33 30 2e 30 7d 7d 0d 0d |.0,20.0,|30.0}}..| |00002c90| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 20 42 75 69 6c 74 2d |--------|- Built-| |00002ca0| 69 6e 20 66 75 6e 63 74 | 69 6f 6e 73 20 66 6f 72 |in funct|ions for| |00002cb0| 20 61 72 72 61 79 73 0d | 20 63 6f 75 6e 74 28 41 | arrays.| count(A| |00002cc0| 29 3a 33 2e 30 3b 20 20 | 2d 2d 20 63 6f 75 6e 74 |):3.0; |-- count| |00002cd0| 28 29 20 72 65 74 75 72 | 6e 73 20 74 68 65 20 6e |() retur|ns the n| |00002ce0| 75 6d 62 65 72 20 6f 66 | 20 61 72 72 61 79 20 65 |umber of| array e| |00002cf0| 6c 65 6d 65 6e 74 73 0d | 20 20 63 6f 75 6e 74 28 |lements.| count(| |00002d00| 42 29 3a 33 2e 30 3b 20 | 20 20 20 20 2d 2d 20 65 |B):3.0; | -- e| |00002d10| 6c 65 6d 65 6e 74 73 20 | 69 6e 20 31 73 74 20 64 |lements |in 1st d| |00002d20| 69 6d 65 6e 73 69 6f 6e | 0d 20 20 63 6f 75 6e 74 |imension|. count| |00002d30| 28 34 32 29 3a 30 2e 30 | 3b 20 20 20 20 2d 2d 20 |(42):0.0|; -- | |00002d40| 73 63 61 6c 61 72 0d 20 | 20 63 6f 75 6e 74 28 51 |scalar. | count(Q| |00002d50| 29 3a 3f 3b 20 20 20 20 | 20 20 20 2d 2d 20 69 6e |):?; | -- in| |00002d60| 66 69 6e 69 74 65 20 61 | 72 72 61 79 0d 0d 20 64 |finite a|rray.. d| |00002d70| 65 74 28 42 29 3a 30 2e | 30 3b 20 20 2d 2d 20 63 |et(B):0.|0; -- c| |00002d80| 61 6c 63 75 6c 61 74 65 | 73 20 74 68 65 20 64 65 |alculate|s the de| |00002d90| 74 65 72 6d 69 6e 61 6e | 74 20 6f 66 20 61 20 73 |terminan|t of a s| |00002da0| 71 75 61 72 65 20 6d 61 | 74 72 69 78 0d 0d 2d 2d |quare ma|trix..--| |00002db0| 2d 2d 2d 2d 2d 2d 2d 20 | 44 61 74 61 20 46 69 6c |------- |Data Fil| |00002dc0| 65 73 0d 2d 2d 20 72 65 | 61 64 28 22 66 69 6c 65 |es.-- re|ad("file| |00002dd0| 6e 61 6d 65 22 29 20 72 | 65 74 75 72 6e 73 20 61 |name") r|eturns a| |00002de0| 6e 20 61 72 72 61 79 20 | 6f 66 20 76 61 6c 75 65 |n array |of value| |00002df0| 73 20 72 65 61 64 20 66 | 72 6f 6d 20 74 68 65 20 |s read f|rom the | |00002e00| 6e 61 6d 65 64 20 64 61 | 74 61 20 66 69 6c 65 2e |named da|ta file.| |00002e10| 20 44 6f 75 62 6c 65 20 | 71 75 6f 74 65 73 20 61 | Double |quotes a| |00002e20| 72 65 20 6e 65 65 64 65 | 64 20 69 66 20 74 68 65 |re neede|d if the| |00002e30| 20 66 69 6c 65 6e 61 6d | 65 20 63 6f 6e 74 61 69 | filenam|e contai| |00002e40| 6e 73 20 62 6c 61 6e 6b | 73 20 6f 72 20 70 75 6e |ns blank|s or pun| |00002e50| 63 74 75 61 74 69 6f 6e | 2e 20 54 68 65 20 64 61 |ctuation|. 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