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Unknown | 1994-04-16 | 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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|00001360| 46 69 6c 74 65 72 3a 00 | 6c 74 65 72 3a 00 20 00 |Filter:.|lter:. .|
|00001370| 6f 6e 65 73 00 00 39 33 | 00 20 00 00 20 00 ac 00 |ones..93|. .. ...|
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|00001440| 72 73 69 6f 6e 20 31 2e | 30 20 2d 20 35 2f 31 31 |rsion 1.|0 - 5/11|
|00001450| 2f 38 39 00 31 31 2f 38 | 39 00 20 00 ac 00 fe 40 |/89.11/8|9. ....@|
|00001460| e0 00 00 62 79 20 4c 6f | 6e 6e 69 65 20 52 2e 20 |...by Lo|nnie R. |
|00001470| 41 62 65 6c 62 65 63 6b | 00 6c 62 65 63 6b 00 20 |Abelbeck|.lbeck. |
|00001480| 00 ac 00 fe 41 00 00 00 | 4d 6f 64 69 66 69 65 64 |....A...|Modified|
|00001490| 20 2d 20 34 2f 31 34 2f | 39 33 00 31 34 2f 39 33 | - 4/14/|93.14/93|
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|000014b0| 57 2e 20 54 2e 20 4a 6f | 6e 65 73 00 4a 6f 6e 65 |W. T. Jo|nes.Jone|
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|000016c0| 00 00 4e 41 20 00 00 25 | 42 b8 00 00 00 42 b8 00 |..NA ..%|B....B..|
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|000016f0| 7c cf 97 2a 02 3f 80 00 | 54 35 3f 80 00 54 20 3f ||..*.?..|T5?..T ?|
|00001700| 80 00 00 00 3f 80 00 00 | 21 41 20 00 00 20 41 a0 |....?...|!A .. A.|
|00001710| 00 00 00 41 a0 00 00 21 | 41 20 00 00 35 41 20 00 |...A...!|A ..5A .|
|00001720| 00 21 40 80 00 00 6e 40 | 8f 40 00 6f 00 00 00 00 |.!@...n@|.@.o....|
|00001730| 05 44 7a 00 00 02 44 7a | 00 00 20 41 98 00 00 00 |.Dz...Dz|.. A....|
|00001740| 41 98 00 00 6e 00 00 00 | 00 6f 00 00 00 00 21 3f |A...n...|.o....!?|
|00001750| 80 00 00 28 3f 80 00 00 | 25 42 a2 00 00 00 42 a2 |...(?...|%B....B.|
|00001760| 00 00 6e 7f e1 cc f3 6f | 85 eb c8 a5 20 41 b8 00 |..n....o|.... A..|
|00001770| 00 00 41 b8 00 00 24 42 | c4 00 00 00 42 c4 00 00 |..A...$B|....B...|
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|00001790| 00 00 00 00 05 40 00 00 | 00 35 40 00 00 00 03 40 |.....@..|.5@....@|
|000017a0| 00 00 00 20 41 a8 00 00 | 21 41 20 00 00 35 41 20 |... A...|!A ..5A |
|000017b0| 00 00 27 41 20 00 00 25 | 42 be 00 00 21 41 a8 00 |..'A ..%|B...!A..|
|000017c0| 00 21 40 00 00 00 6e 3f | f0 00 00 6f 00 00 00 00 |.!@...n?|...o....|
|000017d0| 03 3f 80 00 00 02 3f 80 | 00 00 21 41 30 00 00 43 |.?....?.|..!A0..C|
|000017e0| 41 30 00 00 25 42 be 00 | 00 21 40 00 00 00 20 41 |A0..%B..|.!@... A|
|000017f0| 10 00 00 6e 00 00 00 00 | 6f 00 00 00 00 20 00 00 |...n....|o.... ..|
|00001800| 00 00 20 41 b0 00 00 00 | 41 b0 00 00 24 42 88 00 |.. A....|A...$B..|
|00001810| 00 2b 41 a8 00 00 41 3f | 80 00 00 25 42 bc 00 00 |.+A...A?|...%B...|
|00001820| 41 40 00 00 00 25 42 bc | 00 00 4e 00 00 00 00 6e |A@...%B.|..N....n|
|00001830| 3f f0 00 00 6f 00 00 00 | 00 4e 41 b0 00 00 24 42 |?...o...|.NA...$B|
|00001840| bc 00 00 6e 3f f0 00 00 | 6f 00 00 00 00 4e 41 a8 |...n?...|o....NA.|
|00001850| 00 00 6e 00 00 00 00 6f | 00 00 00 00 29 41 10 00 |..n....o|....)A..|
|00001860| 00 25 42 88 00 00 00 42 | 88 00 00 6e 00 00 00 00 |.%B....B|...n....|
|00001870| 6f 00 00 00 00 21 41 b0 | 00 00 34 41 b0 00 00 25 |o....!A.|..4A...%|
|00001880| 42 c6 00 00 00 42 c6 00 | 00 21 40 00 00 00 21 41 |B....B..|.!@...!A|
|00001890| b0 00 00 43 41 b0 00 00 | 25 42 c2 00 00 00 42 c2 |...CA...|%B....B.|
|000018a0| 00 00 21 00 00 00 00 21 | 41 b0 00 00 05 41 b0 00 |..!....!|A....A..|
|000018b0| 00 2a 41 98 00 00 20 41 | b8 00 00 00 41 b8 00 00 |.*A... A|....A...|
|000018c0| 25 42 c0 00 00 00 42 c0 | 00 00 24 42 c6 00 00 45 |%B....B.|..$B...E|
|000018d0| 41 98 00 00 00 41 98 00 | 00 24 42 c0 00 00 6e 3f |A....A..|.$B...n?|
|000018e0| f0 00 00 6f 00 00 00 00 | 4e 41 a0 00 00 4e 41 98 |...o....|NA...NA.|
|000018f0| 00 00 00 41 98 00 00 6e | 00 00 00 00 6f 00 00 00 |...A...n|....o...|
|00001900| 00 29 3f 80 00 00 25 42 | c4 00 00 00 42 c4 00 00 |.)?...%B|....B...|
|00001910| 30 42 c4 00 00 00 42 c4 | 00 00 24 42 a2 00 00 30 |0B....B.|..$B...0|
|00001920| 42 a2 00 00 00 42 a2 00 | 00 24 42 be 00 00 45 41 |B....B..|.$B...EA|
|00001930| 98 00 00 25 42 c0 00 00 | 00 42 c0 00 00 24 42 c2 |...%B...|.B...$B.|
|00001940| 00 00 21 41 b8 00 00 21 | 00 00 00 00 21 41 b0 00 |..!A...!|....!A..|
|00001950| 00 05 41 b0 00 00 34 41 | b0 00 00 25 42 c6 00 00 |..A...4A|...%B...|
|00001960| 2a 41 98 00 00 20 41 b8 | 00 00 25 42 c0 00 00 00 |*A... A.|..%B....|
|00001970| 42 c0 00 00 3b 40 80 00 | 00 3b 40 a0 00 00 3b 40 |B...;@..|.;@...;@|
|00001980| c0 00 00 3b 40 e0 00 00 | ff 4c 20 39 35 fe 00 00 |...;@...|.L 95...|
|00001990| 00 00 53 6d 6f 6f 74 68 | 3a 00 6f 6f 74 68 3a 00 |..Smooth|:.ooth:.|
|000019a0| 20 00 6f 6e 65 73 00 00 | 39 33 00 20 00 00 20 00 | .ones..|93. .. .|
|000019b0| ac 00 fe 3f 80 00 00 93 | fc 97 cd 97 f1 00 fc 97 |...?....|........|
|000019c0| cd 97 f1 00 20 00 00 6f | 6e 65 73 00 00 39 33 00 |.... ..o|nes..93.|
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|000041d0| 01 4b 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |.K......|.....p..|
|000041e0| 20 0e 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a | .......|. ...p..|
|000041f0| 00 00 00 00 01 40 01 40 | 20 0e d7 e4 00 00 00 00 |.....@.@| .......|
|00004200| 01 53 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |.S......|. ...p..|
|00004210| 00 00 00 00 01 40 01 40 | 01 57 ff ff 20 0e d9 92 |.....@.@|.W.. ...|
|00004220| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|00004230| 01 93 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|00004240| 20 0e 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a | .......|. ...p..|
|00004250| 00 00 00 00 01 40 01 40 | 20 0e db 88 00 00 00 00 |.....@.@| .......|
|00004260| 01 9b 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004270| 00 00 00 00 01 40 01 40 | 01 9f ff ff 20 0e dd 1a |.....@.@|.... ...|
|00004280| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|00004290| 05 13 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|000042a0| 20 0f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a | .......|. ...p..|
|000042b0| 00 00 00 00 01 40 01 40 | 20 0e de f0 00 00 00 00 |.....@.@| .......|
|000042c0| 01 00 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000042d0| 00 00 00 00 01 40 01 40 | 01 02 00 57 20 0e df ce |.....@.@|...W ...|
|000042e0| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|000042f0| 01 04 00 00 00 00 00 00 | 00 10 01 11 82 70 00 6c |........|.....p.l|
|00004300| 20 0e 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a | .......|. ...p..|
|00004310| 00 00 00 00 01 40 01 40 | 20 0e e0 0a 00 00 00 00 |.....@.@| .......|
|00004320| 01 08 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004330| 00 00 00 00 01 40 01 40 | 01 0a 00 91 20 0e e0 2e |.....@.@|.... ...|
|00004340| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|00004350| 01 0c 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|00004360| 20 0e 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a | .......|. ...p..|
|00004370| 00 00 00 00 01 40 01 40 | 20 0e e0 6a 00 00 00 00 |.....@.@| ..j....|
|00004380| 01 2f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |./......|. ...p..|
|00004390| 00 00 00 00 01 40 01 40 | 00 84 ff ff 00 0e e0 8e |.....@.@|........|
|000043a0| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|000043b0| 00 86 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|000043c0| 00 0e 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000043d0| 00 00 00 00 01 40 01 40 | 00 0e e5 a2 00 00 00 00 |.....@.@|........|
|000043e0| 00 8a 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000043f0| 00 00 00 00 01 40 01 40 | 00 90 ff ff 00 0e e8 ae |.....@.@|........|
|00004400| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|00004410| 00 92 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|00004420| 00 0e 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004430| 00 00 00 00 01 40 01 40 | 00 0e ed c2 00 00 00 00 |.....@.@|........|
|00004440| 00 85 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004450| 00 00 00 00 01 40 01 40 | 00 87 ff ff 00 0e ee 8e |.....@.@|........|
|00004460| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|00004470| 00 89 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|00004480| 00 0e 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004490| 00 00 00 00 01 40 01 40 | 00 0e ef e2 00 00 00 00 |.....@.@|........|
|000044a0| 00 91 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000044b0| 00 00 00 00 01 40 01 40 | 00 93 ff ff 00 0e f0 ae |.....@.@|........|
|000044c0| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|000044d0| 00 84 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|000044e0| 00 0e 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000044f0| 00 00 00 00 01 40 01 40 | 00 0e f7 42 00 00 00 00 |.....@.@|...B....|
|00004500| 00 88 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004510| 00 00 00 00 01 40 01 40 | 00 8a ff ff 00 0e fd 4e |.....@.@|.......N|
|00004520| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|00004530| 00 90 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|00004540| 00 0f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004550| 00 00 00 00 01 40 01 40 | 00 0f 07 62 00 00 00 00 |.....@.@|...b....|
|00004560| 00 94 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004570| 00 00 00 00 01 40 01 40 | 00 85 ff ff 00 0f 0b ee |.....@.@|........|
|00004580| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|00004590| 00 87 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|000045a0| 00 0f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000045b0| 00 00 00 00 01 40 01 40 | 00 0f 0e 82 00 00 00 00 |.....@.@|........|
|000045c0| 00 8f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000045d0| 00 00 00 00 01 40 01 40 | 00 91 ff ff 00 0f 10 0e |.....@.@|........|
|000045e0| 00 00 00 00 00 00 00 00 | 00 10 01 11 82 70 00 00 |........|.....p..|
|000045f0| 00 93 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|00004600| 00 0f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004610| 00 00 00 00 01 40 01 40 | 04 0f 15 bc 01 11 83 50 |.....@.@|.......P|
|00004620| 01 02 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004630| 00 00 00 00 01 40 01 40 | 01 04 ff ff 04 0f 17 48 |.....@.@|.......H|
|00004640| 01 11 00 00 00 00 00 00 | 00 10 01 11 82 70 00 40 |........|.....p.@|
|00004650| 01 06 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|00004660| 04 0f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004670| 00 00 00 00 01 40 01 40 | 04 0f 19 dc 01 11 83 30 |.....@.@|.......0|
|00004680| 01 0a 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004690| 00 00 00 00 01 40 01 40 | 01 0c ff ff 04 0f 1b 68 |.....@.@|.......h|
|000046a0| 01 11 00 00 00 00 00 00 | 00 10 01 11 82 70 83 24 |........|.....p.$|
|000046b0| 01 0e 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|000046c0| 04 0f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000046d0| 00 00 00 00 01 40 01 40 | 04 0f 1d fc 01 11 83 14 |.....@.@|........|
|000046e0| 01 13 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|000046f0| 00 00 00 00 01 40 01 40 | 01 15 ff ff 04 0f 1f 88 |.....@.@|........|
|00004700| 01 11 00 00 00 00 00 00 | 00 10 01 11 82 70 83 04 |........|.....p..|
|00004710| 01 17 00 00 00 00 00 00 | 00 10 01 11 82 70 ff ff |........|.....p..|
|00004720| 04 0f 00 00 00 00 00 00 | 00 20 01 11 82 70 00 0a |........|. ...p..|
|00004730| 00 00 00 00 01 40 01 40 | 04 0f 22 1c 01 11 82 f4 |.....@.@|..".....|
|00004740| 01 1b 00 00 00 00 00 00 | 00 20 01 11 82 70 00 00 |........|. ...p..|
|00004750| 0a a1 3b 20 43 6f 70 79 | 72 69 67 68 74 20 31 39 |..; Copy|right 19|
|00004760| 38 39 2d 31 39 39 33 20 | 62 79 20 41 62 65 6c 62 |89-1993 |by Abelb|
|00004770| 65 63 6b 20 53 6f 66 74 | 77 61 72 65 0d 3b 0d 3b |eck Soft|ware.;.;|
|00004780| 20 4d 61 63 72 6f 20 4c | 69 62 72 61 72 79 0d 3b | Macro L|ibrary.;|
|00004790| 20 56 65 72 73 69 6f 6e | 20 31 2e 30 0d 3b 20 4d | Version| 1.0.; M|
|000047a0| 61 72 63 68 20 33 30 2c | 20 31 39 39 30 0d 3b 0d |arch 30,| 1990.;.|
|000047b0| 3b 20 44 65 66 69 6e 69 | 74 69 6f 6e 73 20 66 6f |; Defini|tions fo|
|000047c0| 72 20 74 68 65 20 22 46 | 6f 72 6d 75 6c 61 22 20 |r the "F|ormula" |
|000047d0| 61 6e 64 20 22 47 65 6e | 65 72 61 6c 20 43 75 72 |and "Gen|eral Cur|
|000047e0| 76 65 20 46 69 74 22 0d | 3b 0d 3b 5f 5f 56 61 72 |ve Fit".|;.;__Var|
|000047f0| 69 61 62 6c 65 20 44 65 | 66 69 6e 69 74 69 6f 6e |iable De|finition|
|00004800| 73 0d 78 20 3d 20 6d 30 | 3b 0d 61 20 3d 20 6d 31 |s.x = m0|;.a = m1|
|00004810| 3b 0d 62 20 3d 20 6d 32 | 3b 0d 63 20 3d 20 6d 33 |;.b = m2|;.c = m3|
|00004820| 3b 0d 64 20 3d 20 6d 34 | 3b 0d 3b 0d 3b 5f 5f 43 |;.d = m4|;.;.;__C|
|00004830| 6f 6e 73 74 61 6e 74 20 | 44 65 66 69 6e 69 74 69 |onstant |Definiti|
|00004840| 6f 6e 73 0d 65 20 3d 20 | 65 78 70 28 31 29 3b 0d |ons.e = |exp(1);.|
|00004850| 3b 0d 3b 5f 5f 41 6c 69 | 61 73 65 73 0d 4f 52 20 |;.;__Ali|ases.OR |
|00004860| 3d 20 7c 7c 3b 0d 41 4e | 44 20 3d 20 26 26 3b 0d |= ||;.AN|D = &&;.|
|00004870| 4d 4f 44 20 3d 20 25 3b | 0d 69 66 28 62 6f 6f 6c |MOD = %;|.if(bool|
|00004880| 29 20 3d 20 62 6f 6f 6c | 20 3f 3b 0d 65 6c 73 65 |) = bool| ?;.else|
|00004890| 20 3d 20 3a 3b 0d 3b 0d | 3b 5f 5f 4d 61 74 68 65 | = :;.;.|;__Mathe|
|000048a0| 6d 61 74 69 63 61 6c 20 | 46 75 6e 63 74 69 6f 6e |matical |Function|
|000048b0| 20 44 65 66 69 6e 69 74 | 69 6f 6e 73 0d 3b 20 48 | Definit|ions.; H|
|000048c0| 79 70 65 72 62 6f 6c 69 | 63 20 73 69 6e 65 0d 73 |yperboli|c sine.s|
|000048d0| 69 6e 68 28 78 29 20 3d | 20 28 28 65 78 70 28 78 |inh(x) =| ((exp(x|
|000048e0| 29 20 2d 20 65 78 70 28 | 2d 78 29 29 20 2f 20 32 |) - exp(|-x)) / 2|
|000048f0| 29 3b 0d 3b 0d 3b 20 48 | 79 70 65 72 62 6f 6c 69 |);.;.; H|yperboli|
|00004900| 63 20 63 6f 73 69 6e 65 | 0d 63 6f 73 68 28 78 29 |c cosine|.cosh(x)|
|00004910| 20 3d 20 28 28 65 78 70 | 28 78 29 20 2b 20 65 78 | = ((exp|(x) + ex|
|00004920| 70 28 2d 78 29 29 20 2f | 20 32 29 3b 0d 3b 0d 3b |p(-x)) /| 2);.;.;|
|00004930| 20 48 79 70 65 72 62 6f | 6c 69 63 20 74 61 6e 67 | Hyperbo|lic tang|
|00004940| 65 6e 74 0d 74 61 6e 68 | 28 78 29 20 3d 20 28 28 |ent.tanh|(x) = ((|
|00004950| 65 78 70 28 78 29 20 2d | 20 65 78 70 28 2d 78 29 |exp(x) -| exp(-x)|
|00004960| 29 20 2f 20 28 65 78 70 | 28 78 29 20 2b 20 65 78 |) / (exp|(x) + ex|
|00004970| 70 28 2d 78 29 29 29 3b | 0d 3b 0d 3b 20 4c 6f 67 |p(-x)));|.;.; Log|
|00004980| 20 62 61 73 65 20 32 0d | 6c 6f 67 32 28 78 29 20 | base 2.|log2(x) |
|00004990| 3d 20 28 6c 6f 67 28 78 | 29 20 2f 20 6c 6f 67 28 |= (log(x|) / log(|
|000049a0| 32 29 29 3b 0d 3b 0d 3b | 20 4c 6f 67 20 62 61 73 |2));.;.;| Log bas|
|000049b0| 65 20 6e 0d 6c 6f 67 6e | 28 78 2c 20 6e 29 20 3d |e n.logn|(x, n) =|
|000049c0| 20 28 6c 6f 67 28 78 29 | 20 2f 20 6c 6f 67 28 6e | (log(x)| / log(n|
|000049d0| 29 29 3b 0d 3b 0d 3b 5f | 5f 4d 69 73 63 2e 20 44 |));.;.;_|_Misc. D|
|000049e0| 65 66 69 6e 69 74 69 6f | 6e 73 0d 3b 20 52 61 6e |efinitio|ns.; Ran|
|000049f0| 64 6f 6d 20 23 20 77 69 | 74 68 20 75 70 70 65 72 |dom # wi|th upper|
|00004a00| 20 61 6e 64 20 6c 6f 77 | 65 72 20 62 6f 75 6e 64 | and low|er bound|
|00004a10| 73 0d 6e 75 6d 62 65 72 | 28 6c 6f 77 65 72 2c 20 |s.number|(lower, |
|00004a20| 75 70 70 65 72 29 20 3d | 20 28 28 72 61 6e 28 29 |upper) =| ((ran()|
|00004a30| 20 2a 20 28 75 70 70 65 | 72 20 2d 20 6c 6f 77 65 | * (uppe|r - lowe|
|00004a40| 72 29 29 20 2b 20 6c 6f | 77 65 72 29 3b 0d 3b 0d |r)) + lo|wer);.;.|
|00004a50| 3b 20 41 72 69 74 68 6d | 65 74 69 63 20 73 65 72 |; Arithm|etic ser|
|00004a60| 69 65 73 0d 73 65 72 69 | 65 73 28 61 2c 20 62 29 |ies.seri|es(a, b)|
|00004a70| 20 3d 20 28 63 30 20 3d | 20 61 20 2b 20 62 20 2a | = (c0 =| a + b *|
|00004a80| 20 69 6e 64 65 78 28 29 | 29 3b 0d 3b 0d 3b 20 53 | index()|);.;.; S|
|00004a90| 69 6e 63 0d 73 69 6e 63 | 28 78 29 20 3d 20 28 28 |inc.sinc|(x) = ((|
|00004aa0| 78 29 20 3d 3d 20 30 2e | 30 29 20 3f 20 31 20 3a |x) == 0.|0) ? 1 :|
|00004ab0| 20 28 73 69 6e 28 78 29 | 2f 28 78 29 29 3b 0d 3b | (sin(x)|/(x));.;|
|00004ac0| 0d 3b 20 4d 69 6e 69 6d | 75 6d 20 6f 66 20 74 77 |.; Minim|um of tw|
|00004ad0| 6f 20 6e 75 6d 62 65 72 | 73 0d 6d 69 6e 28 61 2c |o number|s.min(a,|
|00004ae0| 20 62 29 20 3d 20 28 61 | 20 3c 20 62 20 3f 20 61 | b) = (a| < b ? a|
|00004af0| 20 3a 20 62 29 3b 0d 3b | 0d 3b 20 4d 61 78 69 6d | : b);.;|.; Maxim|
|00004b00| 75 6d 20 6f 66 20 74 77 | 6f 20 6e 75 6d 62 65 72 |um of tw|o number|
|00004b10| 73 0d 6d 61 78 28 61 2c | 20 62 29 20 3d 20 28 61 |s.max(a,| b) = (a|
|00004b20| 20 3e 20 62 20 3f 20 61 | 20 3a 20 62 29 3b 0d 3b | > b ? a| : b);.;|
|00004b30| 0d 3b 20 4c 69 6d 69 74 | 20 78 20 62 65 74 77 65 |.; Limit| x betwe|
|00004b40| 65 6e 20 61 20 61 6e 64 | 20 62 0d 6c 69 6d 69 74 |en a and| b.limit|
|00004b50| 28 61 2c 20 62 2c 20 78 | 29 20 3d 20 28 78 20 3c |(a, b, x|) = (x <|
|00004b60| 20 61 20 3f 20 61 20 3a | 20 28 78 20 3e 20 62 20 | a ? a :| (x > b |
|00004b70| 3f 20 62 20 3a 20 78 29 | 29 3b 0d 3b 0d 3b 20 43 |? b : x)|);.;.; C|
|00004b80| 6f 6c 75 6d 6e 20 53 75 | 6d 0d 73 75 6d 28 78 29 |olumn Su|m.sum(x)|
|00004b90| 20 3d 20 6d 30 20 3d 20 | 30 5c 3b 6d 30 20 3d 20 | = m0 = |0\;m0 = |
|00004ba0| 6d 30 20 2b 20 78 5c 3b | 6d 30 3b 0d 3b 0d 3b 20 |m0 + x\;|m0;.;.; |
|00004bb0| 52 75 6e 6e 69 6e 67 20 | 53 75 6d 0d 72 75 6e 73 |Running |Sum.runs|
|00004bc0| 75 6d 28 78 2c 20 73 75 | 6d 29 20 3d 20 6d 30 20 |um(x, su|m) = m0 |
|00004bd0| 3d 20 30 5c 3b 73 75 6d | 20 3d 20 28 6d 30 20 3d |= 0\;sum| = (m0 =|
|00004be0| 20 6d 30 20 2b 20 78 29 | 3b 0d 3b 0d 3b 20 46 69 | m0 + x)|;.;.; Fi|
|00004bf0| 6c 74 65 72 20 28 4d 61 | 73 6b 29 20 64 61 74 61 |lter (Ma|sk) data|
|00004c00| 20 6f 75 74 73 69 64 65 | 20 6f 66 20 6d 69 6e 20 | outside| of min |
|00004c10| 61 6e 64 20 6d 61 78 0d | 66 69 6c 74 65 72 28 6d |and max.|filter(m|
|00004c20| 69 6e 2c 20 6d 61 78 2c | 20 78 29 20 3d 20 75 6e |in, max,| x) = un|
|00004c30| 6d 61 73 6b 28 31 2c 20 | 78 29 5c 3b 6d 61 73 6b |mask(1, |x)\;mask|
|00004c40| 28 78 20 3c 20 6d 69 6e | 20 7c 7c 20 78 20 3e 20 |(x < min| || x > |
|00004c50| 6d 61 78 2c 20 78 29 3b | 0d 3b 0d 3b 20 51 75 61 |max, x);|.;.; Qua|
|00004c60| 64 72 61 74 69 63 20 45 | 71 75 61 74 69 6f 6e 20 |dratic E|quation |
|00004c70| 2b 0d 71 75 61 64 72 6f | 6f 74 31 28 61 2c 20 62 |+.quadro|ot1(a, b|
|00004c80| 2c 20 63 29 20 3d 20 28 | 28 2d 62 20 2b 20 73 71 |, c) = (|(-b + sq|
|00004c90| 72 74 28 62 5e 32 20 2d | 20 34 2a 61 2a 63 29 29 |rt(b^2 -| 4*a*c))|
|00004ca0| 20 2f 20 28 32 20 2a 20 | 61 29 29 3b 0d 3b 0d 3b | / (2 * |a));.;.;|
|00004cb0| 20 51 75 61 64 72 61 74 | 69 63 20 45 71 75 61 74 | Quadrat|ic Equat|
|00004cc0| 69 6f 6e 20 2d 0d 71 75 | 61 64 72 6f 6f 74 32 28 |ion -.qu|adroot2(|
|00004cd0| 61 2c 20 62 2c 20 63 29 | 20 3d 20 28 28 2d 62 20 |a, b, c)| = ((-b |
|00004ce0| 2d 20 73 71 72 74 28 62 | 5e 32 20 2d 20 34 2a 61 |- sqrt(b|^2 - 4*a|
|00004cf0| 2a 63 29 29 20 2f 20 28 | 32 20 2a 20 61 29 29 3b |*c)) / (|2 * a));|
|00004d00| 0d 3b 0d 3b 20 4e 61 6d | 65 20 62 61 73 65 20 63 |.;.; Nam|e base c|
|00004d10| 6f 6c 75 6d 6e 20 22 73 | 74 72 22 0d 63 6e 61 6d |olumn "s|tr".cnam|
|00004d20| 65 28 73 74 72 29 20 3d | 20 6e 61 6d 65 28 73 74 |e(str) =| name(st|
|00004d30| 72 2c 20 63 30 29 3b 0d | 3b 0d 3b 5f 5f 43 75 72 |r, c0);.|;.;__Cur|
|00004d40| 76 65 20 46 69 74 20 44 | 65 66 69 6e 69 74 69 6f |ve Fit D|efinitio|
|00004d50| 6e 73 0d 3b 20 4c 69 6e | 65 61 72 20 63 75 72 76 |ns.; Lin|ear curv|
|00004d60| 65 20 66 69 74 20 74 68 | 72 6f 75 67 68 20 74 68 |e fit th|rough th|
|00004d70| 65 20 6f 72 69 67 69 6e | 0d 6c 69 6e 65 30 66 69 |e origin|.line0fi|
|00004d80| 74 28 61 30 29 20 3d 20 | 61 2a 78 5c 3b 0d 61 3d |t(a0) = |a*x\;.a=|
|00004d90| 61 30 3b 0d 3b 0d 3b 20 | 4c 69 6e 65 61 72 20 63 |a0;.;.; |Linear c|
|00004da0| 75 72 76 65 20 66 69 74 | 0d 6c 69 6e 65 66 69 74 |urve fit|.linefit|
|00004db0| 28 61 30 2c 20 62 30 29 | 20 3d 20 61 20 2b 20 62 |(a0, b0)| = a + b|
|00004dc0| 2a 78 5c 3b 0d 61 3d 61 | 30 5c 3b 62 3d 62 30 3b |*x\;.a=a|0\;b=b0;|
|00004dd0| 0d 3b 0d 3b 20 45 78 70 | 6f 6e 65 6e 74 69 61 6c |.;.; Exp|onential|
|00004de0| 20 62 61 73 65 20 65 20 | 63 75 72 76 65 20 66 69 | base e |curve fi|
|00004df0| 74 0d 65 78 70 66 69 74 | 28 61 30 2c 20 62 30 29 |t.expfit|(a0, b0)|
|00004e00| 20 3d 20 61 20 2a 20 65 | 78 70 28 62 2a 78 29 5c | = a * e|xp(b*x)\|
|00004e10| 3b 0d 61 3d 61 30 5c 3b | 62 3d 62 30 3b 0d 3b 0d |;.a=a0\;|b=b0;.;.|
|00004e20| 3b 20 45 78 70 6f 6e 65 | 6e 74 69 61 6c 20 62 61 |; Expone|ntial ba|
|00004e30| 73 65 20 31 30 20 63 75 | 72 76 65 20 66 69 74 0d |se 10 cu|rve fit.|
|00004e40| 65 78 70 31 30 66 69 74 | 28 61 30 2c 20 62 30 29 |exp10fit|(a0, b0)|
|00004e50| 20 3d 20 61 20 2a 20 31 | 30 5e 28 62 2a 78 29 5c | = a * 1|0^(b*x)\|
|00004e60| 3b 0d 61 3d 61 30 5c 3b | 62 3d 62 30 3b 0d 3b 0d |;.a=a0\;|b=b0;.;.|
|00004e70| 3b 20 45 78 70 6f 6e 65 | 6e 74 69 61 6c 20 62 61 |; Expone|ntial ba|
|00004e80| 73 65 20 6e 20 63 75 72 | 76 65 20 66 69 74 0d 65 |se n cur|ve fit.e|
|00004e90| 78 70 6e 66 69 74 28 6e | 2c 20 61 30 2c 20 62 30 |xpnfit(n|, a0, b0|
|00004ea0| 29 20 3d 20 61 20 2a 20 | 6e 5e 28 62 2a 78 29 5c |) = a * |n^(b*x)\|
|00004eb0| 3b 0d 61 3d 61 30 5c 3b | 62 3d 62 30 3b 0d 3b 0d |;.a=a0\;|b=b0;.;.|
|00004ec0| 3b 20 45 78 70 6f 6e 65 | 6e 74 69 61 6c 2d 43 6f |; Expone|ntial-Co|
|00004ed0| 73 69 6e 65 20 63 75 72 | 76 65 20 66 69 74 0d 65 |sine cur|ve fit.e|
|00004ee0| 78 70 63 6f 73 66 69 74 | 28 61 30 2c 20 62 30 2c |xpcosfit|(a0, b0,|
|00004ef0| 20 63 30 2c 20 64 30 29 | 20 3d 20 61 20 2a 20 65 | c0, d0)| = a * e|
|00004f00| 78 70 28 2d 62 2a 78 29 | 20 2a 20 63 6f 73 28 63 |xp(-b*x)| * cos(c|
|00004f10| 2a 78 20 2b 20 64 29 5c | 3b 0d 61 3d 61 30 5c 3b |*x + d)\|;.a=a0\;|
|00004f20| 62 3d 62 30 5c 3b 63 3d | 63 30 5c 3b 64 3d 64 30 |b=b0\;c=|c0\;d=d0|
|00004f30| 3b 0d 3b 0d 3b 20 45 78 | 70 6f 6e 65 6e 74 69 61 |;.;.; Ex|ponentia|
|00004f40| 6c 2d 45 78 70 6f 6e 65 | 6e 74 69 61 6c 20 63 75 |l-Expone|ntial cu|
|00004f50| 72 76 65 20 66 69 74 0d | 65 78 70 65 78 70 66 69 |rve fit.|expexpfi|
|00004f60| 74 28 61 30 2c 20 62 30 | 2c 20 63 30 2c 20 64 30 |t(a0, b0|, c0, d0|
|00004f70| 29 20 3d 20 61 20 2a 20 | 65 78 70 28 2d 62 2a 78 |) = a * |exp(-b*x|
|00004f80| 29 20 2b 20 63 20 2a 20 | 65 78 70 28 2d 64 2a 78 |) + c * |exp(-d*x|
|00004f90| 29 5c 3b 0d 61 3d 61 30 | 5c 3b 62 3d 62 30 5c 3b |)\;.a=a0|\;b=b0\;|
|00004fa0| 63 3d 63 30 5c 3b 64 3d | 64 30 3b 0d 3b 0d 3b 20 |c=c0\;d=|d0;.;.; |
|00004fb0| 47 65 6e 65 72 61 6c 20 | 45 78 70 6f 6e 65 6e 74 |General |Exponent|
|00004fc0| 69 61 6c 20 63 75 72 76 | 65 20 66 69 74 0d 67 65 |ial curv|e fit.ge|
|00004fd0| 6e 65 78 70 66 69 74 28 | 61 30 2c 20 62 30 2c 20 |nexpfit(|a0, b0, |
|00004fe0| 63 30 29 20 3d 20 61 20 | 2b 20 62 20 2a 20 28 31 |c0) = a |+ b * (1|
|00004ff0| 20 2d 20 65 78 70 28 2d | 63 2a 78 29 29 5c 3b 0d | - exp(-|c*x))\;.|
|00005000| 61 3d 61 30 5c 3b 62 3d | 62 30 5c 3b 63 3d 63 30 |a=a0\;b=|b0\;c=c0|
|00005010| 3b 0d 3b 0d 3b 20 43 6f | 73 69 6e 65 20 63 75 72 |;.;.; Co|sine cur|
|00005020| 76 65 20 66 69 74 0d 63 | 6f 73 66 69 74 28 61 30 |ve fit.c|osfit(a0|
|00005030| 2c 20 62 30 2c 20 63 30 | 2c 20 64 30 29 20 3d 20 |, b0, c0|, d0) = |
|00005040| 61 20 2b 20 62 20 2a 20 | 63 6f 73 28 63 2a 78 20 |a + b * |cos(c*x |
|00005050| 2b 20 64 29 5c 3b 0d 61 | 3d 61 30 5c 3b 62 3d 62 |+ d)\;.a|=a0\;b=b|
|00005060| 30 5c 3b 63 3d 63 30 5c | 3b 64 3d 64 30 3b 0d 3b |0\;c=c0\|;d=d0;.;|
|00005070| 0d 3b 20 47 61 75 73 73 | 69 61 6e 20 63 75 72 76 |.; Gauss|ian curv|
|00005080| 65 20 66 69 74 0d 67 61 | 75 73 73 66 69 74 28 61 |e fit.ga|ussfit(a|
|00005090| 30 2c 20 62 30 2c 20 63 | 30 2c 20 64 30 29 20 3d |0, b0, c|0, d0) =|
|000050a0| 20 61 20 2b 20 62 20 2a | 20 65 78 70 28 2d 28 78 | a + b *| exp(-(x|
|000050b0| 20 2d 20 63 29 5e 32 20 | 2f 20 64 5e 32 29 5c 3b | - c)^2 |/ d^2)\;|
|000050c0| 0d 61 3d 61 30 5c 3b 62 | 3d 62 30 5c 3b 63 3d 63 |.a=a0\;b|=b0\;c=c|
|000050d0| 30 5c 3b 64 3d 64 30 3b | 0d 3b 0d 3b 20 50 6f 77 |0\;d=d0;|.;.; Pow|
|000050e0| 65 72 20 63 75 72 76 65 | 20 66 69 74 0d 70 6f 77 |er curve| fit.pow|
|000050f0| 65 72 66 69 74 28 61 30 | 2c 20 62 30 29 20 3d 20 |erfit(a0|, b0) = |
|00005100| 61 20 2a 20 78 5e 62 5c | 3b 0d 61 3d 61 30 5c 3b |a * x^b\|;.a=a0\;|
|00005110| 62 3d 62 30 3b 0d 3b 0d | 3b 20 4c 6f 67 20 62 61 |b=b0;.;.|; Log ba|
|00005120| 73 65 20 31 30 20 63 75 | 72 76 65 20 66 69 74 0d |se 10 cu|rve fit.|
|00005130| 6c 6f 67 66 69 74 28 61 | 30 2c 20 62 30 29 20 3d |logfit(a|0, b0) =|
|00005140| 20 61 20 2b 20 62 20 2a | 20 6c 6f 67 28 78 29 5c | a + b *| log(x)\|
|00005150| 3b 0d 61 3d 61 30 5c 3b | 62 3d 62 30 3b 0d 3b 0d |;.a=a0\;|b=b0;.;.|
|00005160| 3b 20 4c 6f 67 20 62 61 | 73 65 20 65 20 63 75 72 |; Log ba|se e cur|
|00005170| 76 65 20 66 69 74 0d 6c | 6e 66 69 74 28 61 30 2c |ve fit.l|nfit(a0,|
|00005180| 20 62 30 29 20 3d 20 61 | 20 2b 20 62 20 2a 20 6c | b0) = a| + b * l|
|00005190| 6e 28 78 29 5c 3b 0d 61 | 3d 61 30 5c 3b 62 3d 62 |n(x)\;.a|=a0\;b=b|
|000051a0| 30 3b 0d 3b 0d 3b 20 4c | 6f 67 20 62 61 73 65 20 |0;.;.; L|og base |
|000051b0| 6e 20 63 75 72 76 65 20 | 66 69 74 0d 6c 6f 67 6e |n curve |fit.logn|
|000051c0| 66 69 74 28 6e 2c 20 61 | 30 2c 20 62 30 29 20 3d |fit(n, a|0, b0) =|
|000051d0| 20 61 20 2b 20 62 20 2a | 20 6c 6f 67 6e 28 78 2c | a + b *| logn(x,|
|000051e0| 20 6e 29 5c 3b 0d 61 3d | 61 30 5c 3b 62 3d 62 30 | n)\;.a=|a0\;b=b0|
|000051f0| 3b 0d 3b 01 00 01 4e 01 | 00 02 4f 01 00 04 57 01 |;.;...N.|..O...W.|
|00005200| 00 05 53 01 00 0c 4c 01 | 00 0d 50 01 00 0f 51 01 |..S...L.|..P...Q.|
|00005210| 01 01 5a 01 01 03 58 01 | 01 04 43 01 01 05 56 01 |..Z...X.|..C...V.|
|00005220| 01 06 42 01 01 09 41 01 | 01 0c 59 01 01 13 45 01 |..B...A.|..Y...E.|
|00005230| 02 01 44 01 03 01 54 01 | 03 02 4d 01 04 05 48 01 |..D...T.|..M...H.|
|00005240| 04 07 4a 01 04 0b 47 01 | 04 0d 4b 01 04 0f 49 01 |..J...G.|..K...I.|
|00005250| 05 01 2f 01 05 02 5c 01 | 05 04 3d 01 05 06 2d 01 |../...\.|..=...-.|
|00005260| 05 0a 5b 01 05 0b 5d 01 | 07 09 46 01 07 11 52 00 |..[...].|..F...R.|
|00005270| 00 00 20 00 00 00 20 00 | 00 00 20 00 00 00 20 00 |.. ... .|.. ... .|
|00005280| 00 00 20 00 00 00 20 00 | 00 00 20 00 00 00 20 00 |.. ... .|.. ... .|
|00005290| 00 00 20 00 00 00 20 00 | 00 00 20 |.. ... .|.. |
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