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Unknown | 1994-04-13 | 20.7 KB | [EQNS/QKPT] |
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id metadata |
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key | value |
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macFileType | [EQNS] |
macFileCreator | [QKPT] |
hex view+--------+-------------------------+-------------------------+--------+--------+
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|00003c80| 3f 80 00 00 08 3f 80 00 | 00 05 3f 80 00 00 20 00 |?....?..|..?... .|
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|00003d60| 3f 80 00 00 1e 3f 80 00 | 00 00 3f 80 00 00 00 3f |?....?..|..?....?|
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|00003e30| 21 40 00 00 00 04 40 00 | 00 00 21 00 00 00 00 02 |!@....@.|..!.....|
|00003e40| 00 00 00 00 06 00 00 00 | 00 1e 00 00 00 00 00 00 |........|........|
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|00003ec0| 00 fe 00 00 00 00 52 61 | 6e 64 6f 6d 20 4e 75 6d |......Ra|ndom Num|
|00003ed0| 62 65 72 20 53 65 72 69 | 65 73 00 65 72 69 65 73 |ber Seri|es.eries|
|00003ee0| 00 20 00 ec ac 00 fe 3f | 80 00 00 89 ba 8c c0 00 |. .....?|........|
|00003ef0| 22 89 ba 8c c0 00 20 00 | 20 53 65 72 69 65 73 00 |"..... .| Series.|
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|00003f10| 8f e3 8c c0 00 22 8f e3 | 8c c0 00 20 00 20 53 65 |....."..|... . Se|
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|00003f40| 00 20 00 53 65 72 69 65 | 73 00 65 72 69 65 73 00 |. .Serie|s.eries.|
|00003f50| 20 00 ec ac 00 00 00 00 | 63 30 20 3d 20 69 6e 64 | .......|c0 = ind|
|00003f60| 65 78 28 29 00 20 63 31 | 32 35 00 3b 6d 30 00 30 |ex(). c1|25.;m0.0|
|00003f70| 5e 32 00 2b 6d 34 2a 63 | 30 5e 34 2b 6d 35 2a 63 |^2.+m4*c|0^4+m5*c|
|00003f80| 30 5e 35 00 28 9f 22 7d | 28 91 22 45 28 91 3e 45 |0^5.(."}|(."E(.>E|
|00003f90| 2f 91 22 45 68 91 22 45 | 28 9f 22 45 28 91 22 7d |/."Eh."E|(."E(."}|
|00003fa0| 28 91 22 45 28 91 3e 45 | 68 91 22 45 2f 9f 22 45 |(."E(.>E|h."E/."E|
|00003fb0| 28 91 22 45 28 91 22 7d | 28 9f 3e 45 68 91 22 45 |(."E(."}|(.>Eh."E|
|00003fc0| 28 9f 22 7d 2f 80 3e 01 | 20 00 00 01 20 00 00 01 |(."}/.>.| ... ...|
|00003fd0| 3f ff ff ff 00 00 00 00 | 07 0e 1c 38 00 00 00 00 |?.......|...8....|
|00003fe0| 00 00 00 00 00 00 00 88 | 00 02 9b 04 00 00 00 00 |........|........|
|00003ff0| 1f ff ff fe 10 00 04 02 | 10 00 0e 02 10 00 04 02 |........|........|
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|00004010| 10 0e 00 02 10 04 03 82 | 10 20 02 82 38 70 03 82 |........|. ..8p..|
|00004020| 10 20 00 02 10 00 00 02 | 11 00 38 02 13 80 28 02 |. ......|..8...(.|
|00004030| 39 00 38 02 10 00 00 02 | 10 03 80 02 10 02 80 02 |9.8.....|........|
|00004040| 10 e3 80 02 38 a0 00 02 | 10 e0 00 02 10 00 00 02 |....8...|........|
|00004050| 10 00 00 02 10 40 81 02 | 63 31 20 3d 20 63 30 00 |.....@..|c1 = c0.|
|00004060| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 88 |........|........|
|00004070| 00 02 9b 04 ff ff f8 00 | 80 00 08 00 80 00 08 00 |........|........|
|00004080| 8f ff 08 00 af ff 08 00 | bc 9b 88 00 af ff 88 00 |........|........|
|00004090| 8f ff 88 00 88 01 88 00 | 8a ed 88 00 88 01 88 00 |........|........|
|000040a0| 8f ff 88 00 88 01 88 00 | 8b ad 88 00 88 01 88 00 |........|........|
|000040b0| 8f ff 88 00 83 ff 88 00 | 80 00 08 00 80 00 08 00 |........|........|
|000040c0| ff ff f8 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000040d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000040e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000040f0| 00 00 00 00 00 00 00 88 | 00 02 9b 04 00 00 00 00 |........|........|
|00004100| ff ff ff f0 a0 08 02 00 | ff ff ff f0 bf f8 02 00 |........|........|
|00004110| bf f8 02 00 bf f8 02 00 | ff ff ff f0 a0 08 02 00 |........|........|
|00004120| a0 08 02 00 a0 08 02 00 | ff ff ff f0 a0 08 02 00 |........|........|
|00004130| a0 08 02 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004140| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004150| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004160| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004170| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 88 |........|........|
|00004180| 00 02 9b 04 00 00 00 00 | 00 00 00 00 ff ff ff e0 |........|........|
|00004190| 80 00 00 30 80 00 00 30 | 9b dd d7 30 80 00 00 30 |...0...0|...0...0|
|000041a0| 95 ee d7 f0 80 00 04 50 | 9b 97 74 90 80 00 05 10 |.......P|..t.....|
|000041b0| 80 00 06 10 ff ff fc 10 | 7f ff ff f0 00 00 00 00 |........|........|
|000041c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000041d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000041e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000041f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004200| 00 00 00 00 00 00 00 88 | 00 02 9b 04 00 00 00 00 |........|........|
|00004210| 00 00 00 00 ff ff ff e0 | 80 00 00 30 80 00 00 30 |........|...0...0|
|00004220| 80 00 00 30 80 00 00 30 | 80 00 07 f0 80 00 04 50 |...0...0|.......P|
|00004230| 80 00 04 90 80 00 05 10 | 80 00 06 10 ff ff fc 10 |........|........|
|00004240| 7f ff ff f0 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004250| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004260| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004270| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004280| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 88 |........|........|
|00004290| 00 02 9b 04 3f ff ff fc | 40 00 00 02 bf ff ff f9 |....?...|@.......|
|000042a0| a0 00 00 0d a0 00 00 0d | a6 f7 75 cd a0 00 00 0d |........|..u.....|
|000042b0| a5 7b b5 fd a0 00 01 15 | a6 e5 dd 25 a0 00 01 45 |.{......|...%...E|
|000042c0| a0 00 01 85 bf ff ff 05 | 9f ff ff fd 40 00 00 02 |........|....@...|
|000042d0| 3f ff ff fc 00 00 00 00 | 00 00 00 00 00 00 00 00 |?.......|........|
|000042e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000042f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004300| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004310| 00 00 00 00 00 00 00 88 | 00 02 9b 04 00 00 00 00 |........|........|
|00004320| 1f ff ff fe 10 00 00 02 | 10 00 00 42 10 00 00 86 |........|...B....|
|00004330| 10 00 01 02 10 00 02 02 | 3a 00 04 02 11 00 08 06 |........|:.......|
|00004340| 10 80 10 12 10 4f e0 3a | 10 30 00 12 38 30 00 86 |.....O.:|.0..80..|
|00004350| 10 48 01 c2 10 84 00 82 | 00 03 e4 02 12 00 1e 06 |.H......|........|
|00004360| 38 00 0c 02 10 00 24 02 | 10 00 72 02 10 04 21 06 |8.....$.|..r...!.|
|00004370| 10 8e 00 82 39 c4 00 42 | 10 80 00 22 10 00 00 06 |....9..B|..."....|
|00004380| 10 00 00 02 10 40 81 02 | 1f ff ff fe 00 40 81 00 |.....@..|.....@..|
|00004390| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 88 |........|........|
|000043a0| 00 02 9b 04 00 00 00 00 | 1f ff ff fe 10 00 00 02 |........|........|
|000043b0| 10 00 00 02 10 00 00 02 | 10 00 e0 02 10 01 b0 02 |........|........|
|000043c0| 38 03 58 02 10 02 a8 02 | 10 05 54 02 10 06 ac 02 |8.X.....|..T.....|
|000043d0| 10 05 54 02 38 0a aa 02 | 10 0d 56 02 10 0a aa 02 |..T.8...|..V.....|
|000043e0| 10 0d 56 02 10 1a ab 02 | 38 15 55 02 10 1a ab 02 |..V.....|8.U.....|
|000043f0| 10 15 55 02 10 2a aa 82 | 10 35 55 82 38 2a aa 82 |..U..*..|.5U.8*..|
|00004400| 10 55 55 42 10 aa aa a2 | 13 55 55 5a 1e aa aa ae |.UUB....|.UUZ....|
|00004410| 1f ff ff fe 04 44 44 44 | 00 00 00 00 00 00 00 00 |.....DDD|........|
|00004420| 00 00 00 00 00 00 00 88 | 00 02 9b 04 00 00 00 00 |........|........|
|00004430| 1f ff ff fe 10 00 00 02 | 13 e0 00 02 13 60 00 fa |........|.....`..|
|00004440| 72 af 80 aa 13 6f 80 da | 12 af 80 aa 13 6f be da |r....o..|.....o..|
|00004450| 13 ef a2 aa 12 2f a2 da | 00 28 a2 fa 12 28 a2 8a |...../..|.(...(..|
|00004460| 12 28 be 8a 12 28 be 8a | 12 28 be 8a 12 28 be 8a |.(...(..|.(...(..|
|00004470| 72 2f be 8a 13 ed b6 8a | 13 ea aa fa 13 ed b6 fa |r/......|........|
|00004480| 13 ea aa fa 13 ed b6 fa | 73 ea aa fa 13 ed b6 fa |........|s.......|
|00004490| 13 ef be fa 10 00 00 02 | 1f ff ff fe 00 00 00 00 |........|........|
|000044a0| 01 c7 1c 70 00 00 00 00 | 00 00 00 00 00 00 00 1c |...p....|........|
|000044b0| 00 02 9b 04 54 45 58 54 | 00 00 00 0a 70 61 72 61 |....TEXT|....para|
|000044c0| 6d 65 74 65 72 73 72 01 | 00 00 13 7c 00 02 9b 04 |metersr.|...|....|
|000044d0| 00 00 01 00 00 09 00 60 | 00 08 ff 60 00 00 13 72 |.......`|...`...r|
|000044e0| 00 00 1e 7c 01 1c 00 00 | 00 1c 13 22 00 12 43 4f |...|....|..."..CO|
|000044f0| 44 45 00 45 00 9a 57 49 | 4e 44 00 05 03 e2 43 4e |DE.E..WI|ND....CN|
|00004500| 54 4c 00 06 04 2a 4d 44 | 45 46 00 00 04 7e 4d 45 |TL...*MD|EF...~ME|
|00004510| 4e 55 00 19 04 8a 53 54 | 52 23 00 01 05 c2 43 55 |NU....ST|R#....CU|
|00004520| 52 53 00 0e 05 da 44 4c | 4f 47 00 3c 06 8e 44 49 |RS....DL|OG.<..DI|
|00004530| 54 4c 00 62 09 6a 50 49 | 43 54 00 03 0e 0e 41 4c |TL.b.jPI|CT....AL|
|00004540| 52 54 00 25 0e 3e 50 41 | 54 23 00 00 10 06 50 41 |RT.%.>PA|T#....PA|
|00004550| 54 20 00 0a 10 12 49 43 | 00 23 00 05 10 96 49 43 |T ....IC|.#....IC|
|00004560| 4f 4e 00 24 10 de 46 52 | 45 46 00 05 12 9a 42 4e |ON.$..FR|EF....BN|
|00004570| 44 4c 00 00 12 e2 51 4b | 50 54 00 00 12 ee 53 49 |DL....QK|PT....SI|
|00004580| 5a 45 00 00 12 fa 00 00 | ff ff 20 00 00 00 00 00 |ZE......|.. .....|
|00004590| 00 00 00 01 ff ff 30 00 | 0e fc 00 02 9b 48 01 00 |......0.|.....H..|
|000045a0| ff ff 20 03 24 e4 00 00 | 00 00 00 02 ff ff 20 03 |.. .$...|...... .|
|000045b0| 32 22 00 05 bc 78 00 03 | ff ff 20 03 4e 20 00 05 |2"...x..|.. .N ..|
|000045c0| bc 74 00 04 ff ff 20 03 | 76 ac 00 00 00 00 00 05 |.t.... .|v.......|
|000045d0| ff ff 20 03 79 78 00 00 | 00 00 00 06 ff ff 20 03 |.. .yx..|...... .|
|000045e0| a9 38 00 00 00 00 00 07 | ff ff 20 03 dd 38 00 00 |.8......|.. ..8..|
|000045f0| 00 00 00 08 ff ff 20 03 | fd fe 00 00 00 00 00 09 |...... .|........|
|00004600| ff ff 20 04 0d 04 00 00 | 00 00 00 0a ff ff 20 04 |.. .....|...... .|
|00004610| 40 c8 00 00 00 00 00 0b | ff ff 20 04 68 8e 00 00 |@.......|.. .h...|
|00004620| 00 00 00 0c ff ff 20 04 | 77 a4 00 00 00 00 00 0d |...... .|w.......|
|00004630| ff ff 20 04 80 58 00 00 | 00 00 00 0e ff ff 20 04 |.. ..X..|...... .|
|00004640| 86 18 00 00 00 00 00 0f | ff ff 20 04 a8 ee 00 05 |........|.. .....|
|00004650| bc 70 00 10 ff ff 20 04 | 63 31 20 3d 20 63 31 20 |.p.... .|c1 = c1 |
|00004660| 2b 20 28 72 61 6e 28 29 | 20 2d 20 30 2e 35 29 00 |+ (ran()| - 0.5).|
|00004670| 28 72 61 6e 28 29 2d 20 | 30 2e 35 29 29 00 00 00 |(ran()- |0.5))...|
|00004680| 00 00 00 14 ff ff 20 05 | 0c 90 00 00 00 00 00 15 |...... .|........|
|00004690| ff ff 20 05 22 d4 00 00 | 00 00 00 16 ff ff 20 05 |.. ."...|...... .|
|000046a0| 40 8c 00 00 00 00 00 17 | ff ff 20 05 54 5c 00 00 |@.......|.. .T\..|
|000046b0| 00 00 00 18 ff ff 20 05 | 59 76 00 00 00 00 00 19 |...... .|Yv......|
|000046c0| ff ff 20 05 64 56 00 00 | 00 00 00 1a ff ff 20 05 |.. .dV..|...... .|
|000046d0| 7c 84 00 00 00 00 00 1b | ff ff 20 05 90 42 00 00 ||.......|.. ..B..|
|000046e0| 00 00 00 1c ff ff 20 05 | 94 ba 00 00 00 00 00 1d |...... .|........|
|000046f0| ff ff 20 05 aa ce 00 00 | 00 00 00 1e ff ff 20 05 |.. .....|...... .|
|00004700| b0 62 00 00 00 00 00 1f | ff ff 20 05 db 7e 00 00 |.b......|.. ..~..|
|00004710| 00 00 00 20 ff ff 20 06 | 03 18 00 00 00 00 00 21 |... .. .|.......!|
|00004720| ff ff 20 06 32 fc 00 00 | 00 00 00 22 ff ff 20 06 |.. .2...|...".. .|
|00004730| 3d 28 00 00 00 00 00 23 | ff ff 20 06 44 ce 00 00 |=(.....#|.. .D...|
|00004740| 00 00 00 24 ff ff 20 06 | 51 b4 00 00 00 00 00 25 |...$.. .|Q......%|
|00004750| ff ff 20 06 5f e6 00 00 | 00 00 0a a1 3b 20 43 6f |.. ._...|....; Co|
|00004760| 70 79 72 69 67 68 74 20 | 31 39 38 39 2d 31 39 39 |pyright |1989-199|
|00004770| 33 20 62 79 20 41 62 65 | 6c 62 65 63 6b 20 53 6f |3 by Abe|lbeck So|
|00004780| 66 74 77 61 72 65 0d 3b | 0d 3b 20 4d 61 63 72 6f |ftware.;|.; Macro|
|00004790| 20 4c 69 62 72 61 72 79 | 0d 3b 20 56 65 72 73 69 | Library|.; Versi|
|000047a0| 6f 6e 20 31 2e 30 0d 3b | 20 4d 61 72 63 68 20 33 |on 1.0.;| March 3|
|000047b0| 30 2c 20 31 39 39 30 0d | 3b 0d 3b 20 44 65 66 69 |0, 1990.|;.; Defi|
|000047c0| 6e 69 74 69 6f 6e 73 20 | 66 6f 72 20 74 68 65 20 |nitions |for the |
|000047d0| 22 46 6f 72 6d 75 6c 61 | 22 20 61 6e 64 20 22 47 |"Formula|" and "G|
|000047e0| 65 6e 65 72 61 6c 20 43 | 75 72 76 65 20 46 69 74 |eneral C|urve Fit|
|000047f0| 22 0d 3b 0d 3b 5f 5f 56 | 61 72 69 61 62 6c 65 20 |".;.;__V|ariable |
|00004800| 44 65 66 69 6e 69 74 69 | 6f 6e 73 0d 78 20 3d 20 |Definiti|ons.x = |
|00004810| 6d 30 3b 0d 61 20 3d 20 | 6d 31 3b 0d 62 20 3d 20 |m0;.a = |m1;.b = |
|00004820| 6d 32 3b 0d 63 20 3d 20 | 6d 33 3b 0d 64 20 3d 20 |m2;.c = |m3;.d = |
|00004830| 6d 34 3b 0d 3b 0d 3b 5f | 5f 43 6f 6e 73 74 61 6e |m4;.;.;_|_Constan|
|00004840| 74 20 44 65 66 69 6e 69 | 74 69 6f 6e 73 0d 65 20 |t Defini|tions.e |
|00004850| 3d 20 65 78 70 28 31 29 | 3b 0d 3b 0d 3b 5f 5f 41 |= exp(1)|;.;.;__A|
|00004860| 6c 69 61 73 65 73 0d 4f | 52 20 3d 20 7c 7c 3b 0d |liases.O|R = ||;.|
|00004870| 41 4e 44 20 3d 20 26 26 | 3b 0d 4d 4f 44 20 3d 20 |AND = &&|;.MOD = |
|00004880| 25 3b 0d 69 66 28 62 6f | 6f 6c 29 20 3d 20 62 6f |%;.if(bo|ol) = bo|
|00004890| 6f 6c 20 3f 3b 0d 65 6c | 73 65 20 3d 20 3a 3b 0d |ol ?;.el|se = :;.|
|000048a0| 3b 0d 3b 5f 5f 4d 61 74 | 68 65 6d 61 74 69 63 61 |;.;__Mat|hematica|
|000048b0| 6c 20 46 75 6e 63 74 69 | 6f 6e 20 44 65 66 69 6e |l Functi|on Defin|
|000048c0| 69 74 69 6f 6e 73 0d 3b | 20 48 79 70 65 72 62 6f |itions.;| Hyperbo|
|000048d0| 6c 69 63 20 73 69 6e 65 | 0d 73 69 6e 68 28 78 29 |lic sine|.sinh(x)|
|000048e0| 20 3d 20 28 28 65 78 70 | 28 78 29 20 2d 20 65 78 | = ((exp|(x) - ex|
|000048f0| 70 28 2d 78 29 29 20 2f | 20 32 29 3b 0d 3b 0d 3b |p(-x)) /| 2);.;.;|
|00004900| 20 48 79 70 65 72 62 6f | 6c 69 63 20 63 6f 73 69 | Hyperbo|lic cosi|
|00004910| 6e 65 0d 63 6f 73 68 28 | 78 29 20 3d 20 28 28 65 |ne.cosh(|x) = ((e|
|00004920| 78 70 28 78 29 20 2b 20 | 65 78 70 28 2d 78 29 29 |xp(x) + |exp(-x))|
|00004930| 20 2f 20 32 29 3b 0d 3b | 0d 3b 20 48 79 70 65 72 | / 2);.;|.; Hyper|
|00004940| 62 6f 6c 69 63 20 74 61 | 6e 67 65 6e 74 0d 74 61 |bolic ta|ngent.ta|
|00004950| 6e 68 28 78 29 20 3d 20 | 28 28 65 78 70 28 78 29 |nh(x) = |((exp(x)|
|00004960| 20 2d 20 65 78 70 28 2d | 78 29 29 20 2f 20 28 65 | - exp(-|x)) / (e|
|00004970| 78 70 28 78 29 20 2b 20 | 65 78 70 28 2d 78 29 29 |xp(x) + |exp(-x))|
|00004980| 29 3b 0d 3b 0d 3b 20 4c | 6f 67 20 62 61 73 65 20 |);.;.; L|og base |
|00004990| 32 0d 6c 6f 67 32 28 78 | 29 20 3d 20 28 6c 6f 67 |2.log2(x|) = (log|
|000049a0| 28 78 29 20 2f 20 6c 6f | 67 28 32 29 29 3b 0d 3b |(x) / lo|g(2));.;|
|000049b0| 0d 3b 20 4c 6f 67 20 62 | 61 73 65 20 6e 0d 6c 6f |.; Log b|ase n.lo|
|000049c0| 67 6e 28 78 2c 20 6e 29 | 20 3d 20 28 6c 6f 67 28 |gn(x, n)| = (log(|
|000049d0| 78 29 20 2f 20 6c 6f 67 | 28 6e 29 29 3b 0d 3b 0d |x) / log|(n));.;.|
|000049e0| 3b 5f 5f 4d 69 73 63 2e | 20 44 65 66 69 6e 69 74 |;__Misc.| Definit|
|000049f0| 69 6f 6e 73 0d 3b 20 52 | 61 6e 64 6f 6d 20 23 20 |ions.; R|andom # |
|00004a00| 77 69 74 68 20 75 70 70 | 65 72 20 61 6e 64 20 6c |with upp|er and l|
|00004a10| 6f 77 65 72 20 62 6f 75 | 6e 64 73 0d 6e 75 6d 62 |ower bou|nds.numb|
|00004a20| 65 72 28 6c 6f 77 65 72 | 2c 20 75 70 70 65 72 29 |er(lower|, upper)|
|00004a30| 20 3d 20 28 28 72 61 6e | 28 29 20 2a 20 28 75 70 | = ((ran|() * (up|
|00004a40| 70 65 72 20 2d 20 6c 6f | 77 65 72 29 29 20 2b 20 |per - lo|wer)) + |
|00004a50| 6c 6f 77 65 72 29 3b 0d | 3b 0d 3b 20 41 72 69 74 |lower);.|;.; Arit|
|00004a60| 68 6d 65 74 69 63 20 73 | 65 72 69 65 73 0d 73 65 |hmetic s|eries.se|
|00004a70| 72 69 65 73 28 61 2c 20 | 62 29 20 3d 20 28 63 30 |ries(a, |b) = (c0|
|00004a80| 20 3d 20 61 20 2b 20 62 | 20 2a 20 69 6e 64 65 78 | = a + b| * index|
|00004a90| 28 29 29 3b 0d 3b 0d 3b | 20 53 69 6e 63 0d 73 69 |());.;.;| Sinc.si|
|00004aa0| 6e 63 28 78 29 20 3d 20 | 28 28 78 29 20 3d 3d 20 |nc(x) = |((x) == |
|00004ab0| 30 2e 30 29 20 3f 20 31 | 20 3a 20 28 73 69 6e 28 |0.0) ? 1| : (sin(|
|00004ac0| 78 29 2f 28 78 29 29 3b | 0d 3b 0d 3b 20 4d 69 6e |x)/(x));|.;.; Min|
|00004ad0| 69 6d 75 6d 20 6f 66 20 | 74 77 6f 20 6e 75 6d 62 |imum of |two numb|
|00004ae0| 65 72 73 0d 6d 69 6e 28 | 61 2c 20 62 29 20 3d 20 |ers.min(|a, b) = |
|00004af0| 28 61 20 3c 20 62 20 3f | 20 61 20 3a 20 62 29 3b |(a < b ?| a : b);|
|00004b00| 0d 3b 0d 3b 20 4d 61 78 | 69 6d 75 6d 20 6f 66 20 |.;.; Max|imum of |
|00004b10| 74 77 6f 20 6e 75 6d 62 | 65 72 73 0d 6d 61 78 28 |two numb|ers.max(|
|00004b20| 61 2c 20 62 29 20 3d 20 | 28 61 20 3e 20 62 20 3f |a, b) = |(a > b ?|
|00004b30| 20 61 20 3a 20 62 29 3b | 0d 3b 0d 3b 20 4c 69 6d | a : b);|.;.; Lim|
|00004b40| 69 74 20 78 20 62 65 74 | 77 65 65 6e 20 61 20 61 |it x bet|ween a a|
|00004b50| 6e 64 20 62 0d 6c 69 6d | 69 74 28 61 2c 20 62 2c |nd b.lim|it(a, b,|
|00004b60| 20 78 29 20 3d 20 28 78 | 20 3c 20 61 20 3f 20 61 | x) = (x| < a ? a|
|00004b70| 20 3a 20 28 78 20 3e 20 | 62 20 3f 20 62 20 3a 20 | : (x > |b ? b : |
|00004b80| 78 29 29 3b 0d 3b 0d 3b | 20 43 6f 6c 75 6d 6e 20 |x));.;.;| Column |
|00004b90| 53 75 6d 0d 73 75 6d 28 | 78 29 20 3d 20 6d 30 20 |Sum.sum(|x) = m0 |
|00004ba0| 3d 20 30 5c 3b 6d 30 20 | 3d 20 6d 30 20 2b 20 78 |= 0\;m0 |= m0 + x|
|00004bb0| 5c 3b 6d 30 3b 0d 3b 0d | 3b 20 52 75 6e 6e 69 6e |\;m0;.;.|; Runnin|
|00004bc0| 67 20 53 75 6d 0d 72 75 | 6e 73 75 6d 28 78 2c 20 |g Sum.ru|nsum(x, |
|00004bd0| 73 75 6d 29 20 3d 20 6d | 30 20 3d 20 30 5c 3b 73 |sum) = m|0 = 0\;s|
|00004be0| 75 6d 20 3d 20 28 6d 30 | 20 3d 20 6d 30 20 2b 20 |um = (m0| = m0 + |
|00004bf0| 78 29 3b 0d 3b 0d 3b 20 | 46 69 6c 74 65 72 20 28 |x);.;.; |Filter (|
|00004c00| 4d 61 73 6b 29 20 64 61 | 74 61 20 6f 75 74 73 69 |Mask) da|ta outsi|
|00004c10| 64 65 20 6f 66 20 6d 69 | 6e 20 61 6e 64 20 6d 61 |de of mi|n and ma|
|00004c20| 78 0d 66 69 6c 74 65 72 | 28 6d 69 6e 2c 20 6d 61 |x.filter|(min, ma|
|00004c30| 78 2c 20 78 29 20 3d 20 | 75 6e 6d 61 73 6b 28 31 |x, x) = |unmask(1|
|00004c40| 2c 20 78 29 5c 3b 6d 61 | 73 6b 28 78 20 3c 20 6d |, x)\;ma|sk(x < m|
|00004c50| 69 6e 20 7c 7c 20 78 20 | 3e 20 6d 61 78 2c 20 78 |in || x |> max, x|
|00004c60| 29 3b 0d 3b 0d 3b 20 51 | 75 61 64 72 61 74 69 63 |);.;.; Q|uadratic|
|00004c70| 20 45 71 75 61 74 69 6f | 6e 20 2b 0d 71 75 61 64 | Equatio|n +.quad|
|00004c80| 72 6f 6f 74 31 28 61 2c | 20 62 2c 20 63 29 20 3d |root1(a,| b, c) =|
|00004c90| 20 28 28 2d 62 20 2b 20 | 73 71 72 74 28 62 5e 32 | ((-b + |sqrt(b^2|
|00004ca0| 20 2d 20 34 2a 61 2a 63 | 29 29 20 2f 20 28 32 20 | - 4*a*c|)) / (2 |
|00004cb0| 2a 20 61 29 29 3b 0d 3b | 0d 3b 20 51 75 61 64 72 |* a));.;|.; Quadr|
|00004cc0| 61 74 69 63 20 45 71 75 | 61 74 69 6f 6e 20 2d 0d |atic Equ|ation -.|
|00004cd0| 71 75 61 64 72 6f 6f 74 | 32 28 61 2c 20 62 2c 20 |quadroot|2(a, b, |
|00004ce0| 63 29 20 3d 20 28 28 2d | 62 20 2d 20 73 71 72 74 |c) = ((-|b - sqrt|
|00004cf0| 28 62 5e 32 20 2d 20 34 | 2a 61 2a 63 29 29 20 2f |(b^2 - 4|*a*c)) /|
|00004d00| 20 28 32 20 2a 20 61 29 | 29 3b 0d 3b 0d 3b 20 4e | (2 * a)|);.;.; N|
|00004d10| 61 6d 65 20 62 61 73 65 | 20 63 6f 6c 75 6d 6e 20 |ame base| column |
|00004d20| 22 73 74 72 22 0d 63 6e | 61 6d 65 28 73 74 72 29 |"str".cn|ame(str)|
|00004d30| 20 3d 20 6e 61 6d 65 28 | 73 74 72 2c 20 63 30 29 | = name(|str, c0)|
|00004d40| 3b 0d 3b 0d 3b 5f 5f 43 | 75 72 76 65 20 46 69 74 |;.;.;__C|urve Fit|
|00004d50| 20 44 65 66 69 6e 69 74 | 69 6f 6e 73 0d 3b 20 4c | Definit|ions.; L|
|00004d60| 69 6e 65 61 72 20 63 75 | 72 76 65 20 66 69 74 20 |inear cu|rve fit |
|00004d70| 74 68 72 6f 75 67 68 20 | 74 68 65 20 6f 72 69 67 |through |the orig|
|00004d80| 69 6e 0d 6c 69 6e 65 30 | 66 69 74 28 61 30 29 20 |in.line0|fit(a0) |
|00004d90| 3d 20 61 2a 78 5c 3b 0d | 61 3d 61 30 3b 0d 3b 0d |= a*x\;.|a=a0;.;.|
|00004da0| 3b 20 4c 69 6e 65 61 72 | 20 63 75 72 76 65 20 66 |; Linear| curve f|
|00004db0| 69 74 0d 6c 69 6e 65 66 | 69 74 28 61 30 2c 20 62 |it.linef|it(a0, b|
|00004dc0| 30 29 20 3d 20 61 20 2b | 20 62 2a 78 5c 3b 0d 61 |0) = a +| b*x\;.a|
|00004dd0| 3d 61 30 5c 3b 62 3d 62 | 30 3b 0d 3b 0d 3b 20 45 |=a0\;b=b|0;.;.; E|
|00004de0| 78 70 6f 6e 65 6e 74 69 | 61 6c 20 62 61 73 65 20 |xponenti|al base |
|00004df0| 65 20 63 75 72 76 65 20 | 66 69 74 0d 65 78 70 66 |e curve |fit.expf|
|00004e00| 69 74 28 61 30 2c 20 62 | 30 29 20 3d 20 61 20 2a |it(a0, b|0) = a *|
|00004e10| 20 65 78 70 28 62 2a 78 | 29 5c 3b 0d 61 3d 61 30 | exp(b*x|)\;.a=a0|
|00004e20| 5c 3b 62 3d 62 30 3b 0d | 3b 0d 3b 20 45 78 70 6f |\;b=b0;.|;.; Expo|
|00004e30| 6e 65 6e 74 69 61 6c 20 | 62 61 73 65 20 31 30 20 |nential |base 10 |
|00004e40| 63 75 72 76 65 20 66 69 | 74 0d 65 78 70 31 30 66 |curve fi|t.exp10f|
|00004e50| 69 74 28 61 30 2c 20 62 | 30 29 20 3d 20 61 20 2a |it(a0, b|0) = a *|
|00004e60| 20 31 30 5e 28 62 2a 78 | 29 5c 3b 0d 61 3d 61 30 | 10^(b*x|)\;.a=a0|
|00004e70| 5c 3b 62 3d 62 30 3b 0d | 3b 0d 3b 20 45 78 70 6f |\;b=b0;.|;.; Expo|
|00004e80| 6e 65 6e 74 69 61 6c 20 | 62 61 73 65 20 6e 20 63 |nential |base n c|
|00004e90| 75 72 76 65 20 66 69 74 | 0d 65 78 70 6e 66 69 74 |urve fit|.expnfit|
|00004ea0| 28 6e 2c 20 61 30 2c 20 | 62 30 29 20 3d 20 61 20 |(n, a0, |b0) = a |
|00004eb0| 2a 20 6e 5e 28 62 2a 78 | 29 5c 3b 0d 61 3d 61 30 |* n^(b*x|)\;.a=a0|
|00004ec0| 5c 3b 62 3d 62 30 3b 0d | 3b 0d 3b 20 45 78 70 6f |\;b=b0;.|;.; Expo|
|00004ed0| 6e 65 6e 74 69 61 6c 2d | 43 6f 73 69 6e 65 20 63 |nential-|Cosine c|
|00004ee0| 75 72 76 65 20 66 69 74 | 0d 65 78 70 63 6f 73 66 |urve fit|.expcosf|
|00004ef0| 69 74 28 61 30 2c 20 62 | 30 2c 20 63 30 2c 20 64 |it(a0, b|0, c0, d|
|00004f00| 30 29 20 3d 20 61 20 2a | 20 65 78 70 28 2d 62 2a |0) = a *| exp(-b*|
|00004f10| 78 29 20 2a 20 63 6f 73 | 28 63 2a 78 20 2b 20 64 |x) * cos|(c*x + d|
|00004f20| 29 5c 3b 0d 61 3d 61 30 | 5c 3b 62 3d 62 30 5c 3b |)\;.a=a0|\;b=b0\;|
|00004f30| 63 3d 63 30 5c 3b 64 3d | 64 30 3b 0d 3b 0d 3b 20 |c=c0\;d=|d0;.;.; |
|00004f40| 45 78 70 6f 6e 65 6e 74 | 69 61 6c 2d 45 78 70 6f |Exponent|ial-Expo|
|00004f50| 6e 65 6e 74 69 61 6c 20 | 63 75 72 76 65 20 66 69 |nential |curve fi|
|00004f60| 74 0d 65 78 70 65 78 70 | 66 69 74 28 61 30 2c 20 |t.expexp|fit(a0, |
|00004f70| 62 30 2c 20 63 30 2c 20 | 64 30 29 20 3d 20 61 20 |b0, c0, |d0) = a |
|00004f80| 2a 20 65 78 70 28 2d 62 | 2a 78 29 20 2b 20 63 20 |* exp(-b|*x) + c |
|00004f90| 2a 20 65 78 70 28 2d 64 | 2a 78 29 5c 3b 0d 61 3d |* exp(-d|*x)\;.a=|
|00004fa0| 61 30 5c 3b 62 3d 62 30 | 5c 3b 63 3d 63 30 5c 3b |a0\;b=b0|\;c=c0\;|
|00004fb0| 64 3d 64 30 3b 0d 3b 0d | 3b 20 47 65 6e 65 72 61 |d=d0;.;.|; Genera|
|00004fc0| 6c 20 45 78 70 6f 6e 65 | 6e 74 69 61 6c 20 63 75 |l Expone|ntial cu|
|00004fd0| 72 76 65 20 66 69 74 0d | 67 65 6e 65 78 70 66 69 |rve fit.|genexpfi|
|00004fe0| 74 28 61 30 2c 20 62 30 | 2c 20 63 30 29 20 3d 20 |t(a0, b0|, c0) = |
|00004ff0| 61 20 2b 20 62 20 2a 20 | 28 31 20 2d 20 65 78 70 |a + b * |(1 - exp|
|00005000| 28 2d 63 2a 78 29 29 5c | 3b 0d 61 3d 61 30 5c 3b |(-c*x))\|;.a=a0\;|
|00005010| 62 3d 62 30 5c 3b 63 3d | 63 30 3b 0d 3b 0d 3b 20 |b=b0\;c=|c0;.;.; |
|00005020| 43 6f 73 69 6e 65 20 63 | 75 72 76 65 20 66 69 74 |Cosine c|urve fit|
|00005030| 0d 63 6f 73 66 69 74 28 | 61 30 2c 20 62 30 2c 20 |.cosfit(|a0, b0, |
|00005040| 63 30 2c 20 64 30 29 20 | 3d 20 61 20 2b 20 62 20 |c0, d0) |= a + b |
|00005050| 2a 20 63 6f 73 28 63 2a | 78 20 2b 20 64 29 5c 3b |* cos(c*|x + d)\;|
|00005060| 0d 61 3d 61 30 5c 3b 62 | 3d 62 30 5c 3b 63 3d 63 |.a=a0\;b|=b0\;c=c|
|00005070| 30 5c 3b 64 3d 64 30 3b | 0d 3b 0d 3b 20 47 61 75 |0\;d=d0;|.;.; Gau|
|00005080| 73 73 69 61 6e 20 63 75 | 72 76 65 20 66 69 74 0d |ssian cu|rve fit.|
|00005090| 67 61 75 73 73 66 69 74 | 28 61 30 2c 20 62 30 2c |gaussfit|(a0, b0,|
|000050a0| 20 63 30 2c 20 64 30 29 | 20 3d 20 61 20 2b 20 62 | c0, d0)| = a + b|
|000050b0| 20 2a 20 65 78 70 28 2d | 28 78 20 2d 20 63 29 5e | * exp(-|(x - c)^|
|000050c0| 32 20 2f 20 64 5e 32 29 | 5c 3b 0d 61 3d 61 30 5c |2 / d^2)|\;.a=a0\|
|000050d0| 3b 62 3d 62 30 5c 3b 63 | 3d 63 30 5c 3b 64 3d 64 |;b=b0\;c|=c0\;d=d|
|000050e0| 30 3b 0d 3b 0d 3b 20 50 | 6f 77 65 72 20 63 75 72 |0;.;.; P|ower cur|
|000050f0| 76 65 20 66 69 74 0d 70 | 6f 77 65 72 66 69 74 28 |ve fit.p|owerfit(|
|00005100| 61 30 2c 20 62 30 29 20 | 3d 20 61 20 2a 20 78 5e |a0, b0) |= a * x^|
|00005110| 62 5c 3b 0d 61 3d 61 30 | 5c 3b 62 3d 62 30 3b 0d |b\;.a=a0|\;b=b0;.|
|00005120| 3b 0d 3b 20 4c 6f 67 20 | 62 61 73 65 20 31 30 20 |;.; Log |base 10 |
|00005130| 63 75 72 76 65 20 66 69 | 74 0d 6c 6f 67 66 69 74 |curve fi|t.logfit|
|00005140| 28 61 30 2c 20 62 30 29 | 20 3d 20 61 20 2b 20 62 |(a0, b0)| = a + b|
|00005150| 20 2a 20 6c 6f 67 28 78 | 29 5c 3b 0d 61 3d 61 30 | * log(x|)\;.a=a0|
|00005160| 5c 3b 62 3d 62 30 3b 0d | 3b 0d 3b 20 4c 6f 67 20 |\;b=b0;.|;.; Log |
|00005170| 62 61 73 65 20 65 20 63 | 75 72 76 65 20 66 69 74 |base e c|urve fit|
|00005180| 0d 6c 6e 66 69 74 28 61 | 30 2c 20 62 30 29 20 3d |.lnfit(a|0, b0) =|
|00005190| 20 61 20 2b 20 62 20 2a | 20 6c 6e 28 78 29 5c 3b | a + b *| ln(x)\;|
|000051a0| 0d 61 3d 61 30 5c 3b 62 | 3d 62 30 3b 0d 3b 0d 3b |.a=a0\;b|=b0;.;.;|
|000051b0| 20 4c 6f 67 20 62 61 73 | 65 20 6e 20 63 75 72 76 | Log bas|e n curv|
|000051c0| 65 20 66 69 74 0d 6c 6f | 67 6e 66 69 74 28 6e 2c |e fit.lo|gnfit(n,|
|000051d0| 20 61 30 2c 20 62 30 29 | 20 3d 20 61 20 2b 20 62 | a0, b0)| = a + b|
|000051e0| 20 2a 20 6c 6f 67 6e 28 | 78 2c 20 6e 29 5c 3b 0d | * logn(|x, n)\;.|
|000051f0| 61 3d 61 30 5c 3b 62 3d | 62 30 3b 0d 3b 01 00 01 |a=a0\;b=|b0;.;...|
|00005200| 4e 01 00 02 4f 01 00 04 | 57 01 00 05 53 01 00 0c |N...O...|W...S...|
|00005210| 4c 01 00 0d 50 01 00 0f | 51 01 01 01 5a 01 01 03 |L...P...|Q...Z...|
|00005220| 58 01 01 04 43 01 01 05 | 56 01 01 06 42 01 01 09 |X...C...|V...B...|
|00005230| 41 01 01 0c 59 01 01 13 | 45 01 02 01 44 01 03 01 |A...Y...|E...D...|
|00005240| 54 01 03 02 4d 01 04 05 | 48 01 04 07 4a 01 04 0b |T...M...|H...J...|
|00005250| 47 01 04 0d 4b 01 04 0f | 49 01 05 01 2f 01 05 02 |G...K...|I.../...|
|00005260| 5c 01 05 04 3d 01 05 06 | 2d 01 05 0a 5b 01 05 0b |\...=...|-...[...|
|00005270| 5d 01 07 09 46 01 07 11 | 52 00 00 00 20 00 00 00 |]...F...|R... ...|
|00005280| 20 00 00 00 20 00 00 00 | 20 00 00 00 20 00 00 00 | ... ...| ... ...|
|00005290| 20 00 00 00 20 00 00 00 | 20 00 00 00 20 00 00 00 | ... ...| ... ...|
|000052a0| 20 00 00 00 20 | | ... | |
+--------+-------------------------+-------------------------+--------+--------+