home *** CD-ROM | disk | FTP | other *** search
| MacBinary | 1997-09-14 | 21.3 KB | [CFun/MPad] |
open in: 
MacOS 8.1
|
Win98
|
DOS
browse contents |
view JSON data
|
view as text
This file was processed as: MacBinary
(archive/macBinary).
| Confidence | Program | Detection | Match Type | Support
|
|---|
| 10%
| dexvert
| MacBinary (archive/macBinary)
| fallback
| Supported |
| 1%
| dexvert
| MacOS PPC PEF Executable (executable/macPPCPEFExe)
| magic
| Unsupported |
| 100%
| file
| MacBinary II, Sun Sep 14 18:48:20 1997, modified Sun Sep 14 18:48:20 1997, creator 'MPad', type 'CFun', 7096 bytes "SVD"
| default (weak)
| |
| 99%
| file
| header for PowerPC PEF executable, at 0x1c38 14357 bytes resource
| default
| |
| 98%
| file
| header for PowerPC PEF executable
| default
| |
| 97%
| file
| data
| default
| |
| 98%
| TrID
| MacBinary 2
| default (weak)
| |
| 1%
| TrID
| Sybase iAnywhere database files
| default (weak)
| |
| 100%
| siegfried
| fmt/1762 MacBinary (II)
| default
| |
| 100%
| lsar
| MacBinary
| default
| |
| 100%
| ffprobeID
| MP2/3 (MPEG audio layer 2/3) (mp3)
| default (weak)
|
|
| id metadata |
|---|
| key | value |
|---|
| macFileType | [CFun] |
| macFileCreator | [MPad] |
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| 00 03 53 56 44 00 00 00 | 00 00 00 00 00 00 00 00 |..SVD...|........|
|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 43 46 75 6e 4d 50 61 | 64 00 00 00 00 00 00 00 |.CFunMPa|d.......|
|00000050| 00 00 00 00 00 1b b8 00 | 00 38 15 b0 42 1a 34 b0 |........|.8..B.4.|
|00000060| 42 1a 34 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |B.4.....|........|
|00000070| 00 00 00 00 00 00 00 00 | 00 00 81 81 79 13 00 00 |........|....y...|
|00000080| 4a 6f 79 21 70 65 66 66 | 70 77 70 63 00 00 00 01 |Joy!peff|pwpc....|
|00000090| b0 41 e1 f4 00 00 00 00 | 00 00 00 00 00 00 00 00 |.A......|........|
|000000a0| 00 03 00 02 00 00 00 00 | ff ff ff ff 00 00 00 00 |........|........|
|000000b0| 00 00 18 b4 00 00 18 b4 | 00 00 18 b4 00 00 01 e0 |........|........|
|000000c0| 00 04 04 00 ff ff ff ff | 00 00 00 00 00 00 01 73 |........|.......s|
|000000d0| 00 00 01 6f 00 00 01 18 | 00 00 1a a0 02 01 04 00 |...o....|........|
|000000e0| ff ff ff ff 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000f0| 00 00 01 58 00 00 00 80 | 04 04 04 00 38 2a 2e 00 |...X....|....8*..|
|00000100| ff ff ff ff 00 00 00 00 | 00 00 00 01 00 00 00 bc |........|........|
|00000110| ff ff ff ff 00 00 00 00 | 00 00 00 03 00 00 00 0c |........|........|
|00000120| 00 00 00 01 00 00 00 bc | 00 00 00 c4 00 00 01 50 |........|.......P|
|00000130| 00 00 00 01 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000140| 00 00 00 00 00 00 00 02 | 00 00 00 00 00 00 00 00 |........|........|
|00000150| 00 00 00 0d 00 00 00 00 | 00 00 00 00 00 00 00 08 |........|........|
|00000160| 00 00 00 02 00 00 00 00 | 00 00 00 15 00 00 00 00 |........|........|
|00000170| 00 00 00 00 00 00 00 02 | 00 00 00 0a 00 00 00 00 |........|........|
|00000180| 02 00 00 1d 02 00 00 28 | 02 00 00 2f 02 00 00 3d |.......(|.../...=|
|00000190| 02 00 00 45 02 00 00 52 | 02 00 00 5b 02 00 00 63 |...E...R|...[...c|
|000001a0| 02 00 00 70 02 00 00 7a | 02 00 00 81 02 00 00 86 |...p...z|........|
|000001b0| 00 01 00 b8 00 00 00 04 | 00 00 00 00 4a 0b 42 0b |........|....J.B.|
|000001c0| 80 43 46 03 49 6e 74 65 | 72 66 61 63 65 4c 69 62 |.CF.Inte|rfaceLib|
|000001d0| 00 4d 61 74 68 50 61 64 | 00 4d 61 74 68 4c 69 62 |.MathPad|.MathLib|
|000001e0| 00 44 69 73 70 6f 73 65 | 50 74 72 00 4e 65 77 50 |.Dispose|Ptr.NewP|
|000001f0| 74 72 00 47 65 74 45 78 | 70 72 4d 61 74 72 69 78 |tr.GetEx|prMatrix|
|00000200| 00 41 64 64 43 46 75 6e | 00 53 65 74 56 61 72 4d |.AddCFun|.SetVarM|
|00000210| 61 74 72 69 78 00 46 72 | 65 65 45 78 70 72 00 53 |atrix.Fr|eeExpr.S|
|00000220| 74 6f 70 70 65 64 00 4d | 61 6b 65 50 61 72 6d 45 |topped.M|akeParmE|
|00000230| 78 70 72 00 53 70 69 6e | 57 61 74 63 68 00 45 72 |xpr.Spin|Watch.Er|
|00000240| 72 4d 73 67 00 66 61 62 | 73 00 73 71 72 74 00 00 |rMsg.fab|s.sqrt..|
|00000250| 00 00 00 00 00 00 00 00 | ba 04 d4 28 1f 48 c6 20 |........|...(.H. |
|00000260| 7c 08 02 a6 90 01 00 08 | 94 21 ff c0 38 62 00 c4 ||.......|.!..8b..|
|00000270| 38 80 00 00 48 00 17 c9 | 80 41 00 14 80 01 00 48 |8...H...|.A.....H|
|00000280| 38 21 00 40 7c 08 03 a6 | 4e 80 00 20 7c 08 02 a6 |8!.@|...|N.. |...|
|00000290| 93 e1 ff fc 93 c1 ff f8 | 90 01 00 08 94 21 ff b0 |........|.....!..|
|000002a0| 38 60 00 00 38 81 00 44 | 48 00 17 4d 80 41 00 14 |8`..8..D|H..M.A..|
|000002b0| 80 61 00 44 38 81 00 40 | 38 a1 00 3c 38 c1 00 38 |.a.D8..@|8..<8..8|
|000002c0| 48 00 17 4d 80 41 00 14 | 7c 7e 1b 78 80 61 00 44 |H..M.A..||~.x.a.D|
|000002d0| 48 00 17 55 80 41 00 14 | 7f c0 07 35 41 82 00 24 |H..U.A..|...5A..$|
|000002e0| 80 61 00 3c 2c 03 00 00 | 41 82 00 18 80 01 00 38 |.a.<,...|A......8|
|000002f0| 2c 00 00 00 41 82 00 0c | 7c 00 18 00 40 81 00 30 |,...A...||...@..0|
|00000300| 38 62 00 d7 38 80 00 00 | 48 00 17 35 80 41 00 14 |8b..8...|H..5.A..|
|00000310| 80 61 00 40 28 03 00 00 | 41 82 00 0c 48 00 17 39 |.a.@(...|A...H..9|
|00000320| 80 41 00 14 38 60 00 00 | 48 00 00 f8 7c 00 01 d6 |.A..8`..|H...|...|
|00000330| 54 03 18 38 48 00 17 39 | 80 41 00 14 7c 7f 1b 78 |T..8H..9|.A..|..x|
|00000340| 80 01 00 38 54 03 18 38 | 48 00 17 25 80 41 00 14 |...8T..8|H..%.A..|
|00000350| 7c 7e 1b 78 28 1f 00 00 | 41 82 00 0c 28 1e 00 00 ||~.x(...|A...(...|
|00000360| 40 82 00 58 4b ff fe fd | 80 61 00 40 28 03 00 00 |@..XK...|.a.@(...|
|00000370| 41 82 00 0c 48 00 16 e1 | 80 41 00 14 28 1f 00 00 |A...H...|.A..(...|
|00000380| 41 82 00 10 7f e3 fb 78 | 48 00 16 cd 80 41 00 14 |A......x|H....A..|
|00000390| 28 1e 00 00 41 82 00 10 | 7f c3 f3 78 48 00 16 b9 |(...A...|...xH...|
|000003a0| 80 41 00 14 80 61 00 44 | 48 00 16 7d 80 41 00 14 |.A...a.D|H..}.A..|
|000003b0| 38 60 00 00 48 00 00 6c | 80 61 00 40 7f c4 f3 78 |8`..H..l|.a.@...x|
|000003c0| 7f e5 fb 78 80 c1 00 3c | 80 e1 00 38 48 00 08 1d |...x...<|...8H...|
|000003d0| 60 00 00 00 38 62 00 60 | 80 81 00 40 80 a1 00 3c |`...8b.`|...@...<|
|000003e0| 80 c1 00 38 48 00 17 01 | 80 41 00 14 38 62 00 63 |...8H...|.A..8b.c|
|000003f0| 7f e4 fb 78 80 a1 00 38 | 7c a6 2b 78 48 00 16 e9 |...x...8||.+xH...|
|00000400| 80 41 00 14 38 62 00 66 | 7f c4 f3 78 80 a1 00 38 |.A..8b.f|...x...8|
|00000410| 38 c0 00 00 48 00 16 d1 | 80 41 00 14 38 60 00 00 |8...H...|.A..8`..|
|00000420| 80 01 00 58 38 21 00 50 | 7c 08 03 a6 83 e1 ff fc |...X8!.P||.......|
|00000430| 83 c1 ff f8 4e 80 00 20 | 39 20 00 00 c8 22 00 90 |....N.. |9 ..."..|
|00000440| 48 00 00 60 39 40 00 00 | 7d 48 53 78 7c c9 03 a6 |H..`9@..|}HSx|...|
|00000450| 2c 06 00 00 40 81 00 48 | 7c 44 44 ae fc 02 08 00 |,...@..H||DD.....|
|00000460| 41 82 00 20 7c 06 49 d6 | 7c 0a 02 14 54 00 18 38 |A.. |.I.||...T..8|
|00000470| 7c 05 04 ae fc 00 10 24 | 7c 05 05 ae 48 00 00 14 ||......$||...H...|
|00000480| 7c 06 49 d6 7c 0a 02 14 | 54 00 18 38 7c 25 05 ae ||.I.|...|T..8|%..|
|00000490| 39 4a 00 01 39 08 00 08 | 42 00 ff c0 39 29 00 01 |9J..9...|B...9)..|
|000004a0| 7c 09 30 00 41 80 ff a0 | 39 20 00 00 48 00 00 6c ||.0.A...|9 ..H..l|
|000004b0| 39 40 00 00 48 00 00 58 | c8 42 00 90 38 80 00 00 |9@..H..X|.B..8...|
|000004c0| 7c c9 03 a6 2c 06 00 00 | 40 81 00 30 7c 06 49 d6 ||...,...|@..0|.I.|
|000004d0| 7c 04 02 14 54 00 18 38 | 7c 25 04 ae 7c 06 51 d6 ||...T..8||%..|.Q.|
|000004e0| 7c 04 02 14 54 00 18 38 | 7c 03 04 ae fc 41 10 3a ||...T..8||....A.:|
|000004f0| 38 84 00 01 42 00 ff d8 | 7c 06 49 d6 7c 0a 02 14 |8...B...||.I.|...|
|00000500| 54 00 18 38 7c 47 05 ae | 39 4a 00 01 7c 0a 30 00 |T..8|G..|9J..|.0.|
|00000510| 41 80 ff a8 39 29 00 01 | 7c 09 30 00 41 80 ff 94 |A...9)..||.0.A...|
|00000520| 4e 80 00 20 7c 08 02 a6 | bf 61 ff ec 90 01 00 08 |N.. |...|.a......|
|00000530| 94 21 ff 90 7c 7e 1b 78 | 38 60 00 00 38 81 00 44 |.!..|~.x|8`..8..D|
|00000540| 48 00 14 b5 80 41 00 14 | 80 61 00 44 38 81 00 40 |H....A..|.a.D8..@|
|00000550| 38 a1 00 3c 38 c1 00 38 | 48 00 14 b5 80 41 00 14 |8..<8..8|H....A..|
|00000560| 7c 7b 1b 78 80 61 00 44 | 48 00 14 bd 80 41 00 14 ||{.x.a.D|H....A..|
|00000570| 7f 60 07 35 41 82 00 24 | 80 61 00 3c 2c 03 00 00 |.`.5A..$|.a.<,...|
|00000580| 41 82 00 18 80 01 00 38 | 2c 00 00 00 41 82 00 0c |A......8|,...A...|
|00000590| 7c 00 18 00 41 82 00 30 | 38 62 00 eb 38 80 00 00 ||...A..0|8b..8...|
|000005a0| 48 00 14 9d 80 41 00 14 | 80 61 00 40 28 03 00 00 |H....A..|.a.@(...|
|000005b0| 41 82 00 0c 48 00 14 a1 | 80 41 00 14 38 60 00 00 |A...H...|.A..8`..|
|000005c0| 48 00 01 e8 7c 00 01 d6 | 54 03 18 38 48 00 14 a1 |H...|...|T..8H...|
|000005d0| 80 41 00 14 7c 7d 1b 78 | 80 01 00 38 54 03 18 38 |.A..|}.x|...8T..8|
|000005e0| 48 00 14 8d 80 41 00 14 | 7c 7c 1b 78 80 01 00 38 |H....A..|||.x...8|
|000005f0| 7c 00 01 d6 54 03 18 38 | 48 00 14 75 80 41 00 14 ||...T..8|H..u.A..|
|00000600| 7c 7b 1b 78 28 1d 00 00 | 41 82 00 14 28 1c 00 00 ||{.x(...|A...(...|
|00000610| 41 82 00 0c 28 1b 00 00 | 40 82 00 60 4b ff fc 45 |A...(...|@..`K..E|
|00000620| 80 61 00 40 28 03 00 00 | 41 82 00 0c 48 00 14 29 |.a.@(...|A...H..)|
|00000630| 80 41 00 14 28 1d 00 00 | 41 82 00 10 7f a3 eb 78 |.A..(...|A......x|
|00000640| 48 00 14 15 80 41 00 14 | 28 1c 00 00 41 82 00 10 |H....A..|(...A...|
|00000650| 7f 83 e3 78 48 00 14 01 | 80 41 00 14 28 1b 00 00 |...xH...|.A..(...|
|00000660| 41 82 00 10 7f 63 db 78 | 48 00 13 ed 80 41 00 14 |A....c.x|H....A..|
|00000670| 38 60 00 00 48 00 01 34 | 80 61 00 40 7f 84 e3 78 |8`..H..4|.a.@...x|
|00000680| 7f a5 eb 78 80 c1 00 3c | 80 e1 00 38 48 00 05 5d |...x...<|...8H..]|
|00000690| 60 00 00 00 48 00 14 09 | 80 41 00 14 7c 60 07 35 |`...H...|.A..|`.5|
|000006a0| 40 82 00 90 c8 22 00 90 | 38 80 00 00 7c 83 23 78 |@...."..|8...|.#x|
|000006b0| 80 01 00 38 48 00 00 1c | 7c 1c 1c ae fc 00 08 40 |...8H...||......@|
|000006c0| 40 81 00 08 fc 20 00 90 | 38 84 00 01 38 63 00 08 |@.... ..|8...8c..|
|000006d0| 7c 04 00 00 41 80 ff e4 | c8 02 00 88 fc 40 00 72 ||...A...|.....@.r|
|000006e0| 3b e0 00 00 7f e4 fb 78 | 7f e3 fb 78 c8 02 00 90 |;......x|...x....|
|000006f0| 48 00 00 20 7c 3c 1c ae | fc 01 10 40 40 80 00 0c |H.. |<..|...@@...|
|00000700| 7c 1c 1d ae 3b ff 00 01 | 38 84 00 01 38 63 00 08 ||...;...|8...8c..|
|00000710| 80 c1 00 38 7c 04 30 00 | 41 80 ff dc 80 61 00 40 |...8|.0.|A....a.@|
|00000720| 7f 84 e3 78 7f a5 eb 78 | 7f 67 db 78 4b ff fd 0d |...x...x|.g.xK...|
|00000730| 80 61 00 40 48 00 13 21 | 80 41 00 14 7f a3 eb 78 |.a.@H..!|.A.....x|
|00000740| 48 00 13 15 80 41 00 14 | 7f 83 e3 78 48 00 13 09 |H....A..|...xH...|
|00000750| 80 41 00 14 38 62 01 02 | 7f 64 db 78 80 a1 00 3c |.A..8b..|.d.x...<|
|00000760| 80 c1 00 38 48 00 13 81 | 80 41 00 14 c8 22 00 80 |...8H...|.A..."..|
|00000770| 6f e0 80 00 90 01 00 4c | 3c 00 43 30 90 01 00 48 |o......L|<.C0...H|
|00000780| c8 01 00 48 fc 00 08 28 | d8 1e 00 00 3b c0 00 00 |...H...(|....;...|
|00000790| 48 00 13 0d 80 41 00 14 | 7c 60 07 35 40 82 00 08 |H....A..||`.5@...|
|000007a0| 3b c0 00 01 7f c3 f3 78 | 80 01 00 78 38 21 00 70 |;......x|...x8!.p|
|000007b0| 7c 08 03 a6 bb 61 ff ec | 4e 80 00 20 93 e1 ff fc ||....a..|N.. ....|
|000007c0| 39 80 00 00 7d 8a 63 78 | 48 00 00 60 c8 42 00 90 |9...}.cx|H..`.B..|
|000007d0| 7c 04 54 ae fc 00 10 00 | 41 82 00 44 3b e0 00 00 ||.T.....|A..D;...|
|000007e0| 7f eb fb 78 7c c9 03 a6 | 2c 06 00 00 40 81 00 28 |...x|...|,...@..(|
|000007f0| 7c 28 5c ae 7c 07 f9 d6 | 7c 0c 02 14 54 00 18 38 ||(\.|...||...T..8|
|00000800| 7c 03 04 ae fc 41 10 3a | 3b ff 00 01 39 6b 00 08 ||....A.:|;...9k..|
|00000810| 42 00 ff e0 7c 04 54 ae | fc 42 00 24 7c 44 55 ae |B...|.T.|.B.$|DU.|
|00000820| 39 8c 00 01 39 4a 00 08 | 7c 0c 38 00 41 80 ff a0 |9...9J..||.8.A...|
|00000830| 39 80 00 00 7d 83 63 78 | 48 00 00 4c c8 42 00 90 |9...}.cx|H..L.B..|
|00000840| 39 00 00 00 7d 06 43 78 | 7c e9 03 a6 2c 07 00 00 |9...}.Cx||...,...|
|00000850| 40 81 00 28 7c 24 34 ae | 7c 07 61 d6 7c 08 02 14 |@..(|$4.||.a.|...|
|00000860| 54 00 18 38 7c 05 04 ae | fc 41 10 3a 39 08 00 01 |T..8|...|.A.:9...|
|00000870| 38 c6 00 08 42 00 ff e0 | 7c 49 1d ae 39 8c 00 01 |8...B...||I..9...|
|00000880| 38 63 00 08 7c 0c 38 00 | 41 80 ff b4 83 e1 ff fc |8c..|.8.|A.......|
|00000890| 4e 80 00 20 7c 08 02 a6 | bf 61 ff ec 90 01 00 08 |N.. |...|.a......|
|000008a0| 94 21 ff 80 7c 7e 1b 78 | 38 60 00 01 38 81 00 54 |.!..|~.x|8`..8..T|
|000008b0| 48 00 11 45 80 41 00 14 | 80 61 00 54 38 81 00 4c |H..E.A..|.a.T8..L|
|000008c0| 38 a1 00 3c 38 c1 00 38 | 48 00 11 45 80 41 00 14 |8..<8..8|H..E.A..|
|000008d0| 7c 7b 1b 78 80 61 00 54 | 48 00 11 4d 80 41 00 14 ||{.x.a.T|H..M.A..|
|000008e0| 7f 60 07 35 41 82 00 24 | 80 61 00 3c 2c 03 00 00 |.`.5A..$|.a.<,...|
|000008f0| 41 82 00 18 80 01 00 38 | 2c 00 00 00 41 82 00 0c |A......8|,...A...|
|00000900| 7c 03 00 00 40 80 00 30 | 38 62 01 07 38 80 00 00 ||...@..0|8b..8...|
|00000910| 48 00 11 2d 80 41 00 14 | 80 61 00 4c 28 03 00 00 |H..-.A..|.a.L(...|
|00000920| 41 82 00 0c 48 00 11 31 | 80 41 00 14 38 60 00 00 |A...H..1|.A..8`..|
|00000930| 48 00 02 a4 38 60 00 00 | 38 81 00 50 48 00 10 b9 |H...8`..|8..PH...|
|00000940| 80 41 00 14 80 61 00 50 | 38 81 00 48 38 a1 00 44 |.A...a.P|8..H8..D|
|00000950| 38 c1 00 40 48 00 10 b9 | 80 41 00 14 7c 7b 1b 78 |8..@H...|.A..|{.x|
|00000960| 80 61 00 50 48 00 10 c1 | 80 41 00 14 7f 60 07 35 |.a.PH...|.A...`.5|
|00000970| 41 82 00 20 80 61 00 44 | 80 01 00 3c 7c 03 00 00 |A.. .a.D|...<|...|
|00000980| 40 82 00 10 80 01 00 40 | 2c 00 00 00 41 82 00 3c |@......@|,...A..<|
|00000990| 38 62 01 1f 38 80 00 00 | 48 00 10 a5 80 41 00 14 |8b..8...|H....A..|
|000009a0| 80 61 00 4c 48 00 10 b1 | 80 41 00 14 80 61 00 48 |.a.LH...|.A...a.H|
|000009b0| 28 03 00 00 41 82 00 0c | 48 00 10 9d 80 41 00 14 |(...A...|H....A..|
|000009c0| 38 60 00 00 48 00 02 10 | 80 01 00 38 7c 00 01 d6 |8`..H...|...8|...|
|000009d0| 54 03 18 38 48 00 10 99 | 80 41 00 14 7c 7d 1b 78 |T..8H...|.A..|}.x|
|000009e0| 80 01 00 38 54 03 18 38 | 48 00 10 85 80 41 00 14 |...8T..8|H....A..|
|000009f0| 7c 7c 1b 78 80 01 00 38 | 54 03 18 38 48 00 10 71 |||.x...8|T..8H..q|
|00000a00| 80 41 00 14 7c 7b 1b 78 | 28 1d 00 00 41 82 00 14 |.A..|{.x|(...A...|
|00000a10| 28 1c 00 00 41 82 00 0c | 28 1b 00 00 40 82 00 74 |(...A...|(...@..t|
|00000a20| 4b ff f8 41 80 61 00 4c | 28 03 00 00 41 82 00 0c |K..A.a.L|(...A...|
|00000a30| 48 00 10 25 80 41 00 14 | 28 1d 00 00 41 82 00 10 |H..%.A..|(...A...|
|00000a40| 7f a3 eb 78 48 00 10 11 | 80 41 00 14 28 1c 00 00 |...xH...|.A..(...|
|00000a50| 41 82 00 10 7f 83 e3 78 | 48 00 0f fd 80 41 00 14 |A......x|H....A..|
|00000a60| 80 61 00 48 28 03 00 00 | 41 82 00 0c 48 00 0f e9 |.a.H(...|A...H...|
|00000a70| 80 41 00 14 28 1b 00 00 | 41 82 00 10 7f 63 db 78 |.A..(...|A....c.x|
|00000a80| 48 00 0f d5 80 41 00 14 | 38 60 00 00 48 00 01 48 |H....A..|8`..H..H|
|00000a90| 80 61 00 4c 7f 84 e3 78 | 7f a5 eb 78 80 c1 00 3c |.a.L...x|...x...<|
|00000aa0| 80 e1 00 38 48 00 01 45 | 60 00 00 00 48 00 0f f1 |...8H..E|`...H...|
|00000ab0| 80 41 00 14 7c 60 07 35 | 40 82 00 98 c8 22 00 90 |.A..|`.5|@...."..|
|00000ac0| 38 80 00 00 7c 83 23 78 | 80 01 00 38 48 00 00 1c |8...|.#x|...8H...|
|00000ad0| 7c 1c 1c ae fc 00 08 40 | 40 81 00 08 fc 20 00 90 ||......@|@.... ..|
|00000ae0| 38 84 00 01 38 63 00 08 | 7c 04 00 00 41 80 ff e4 |8...8c..||...A...|
|00000af0| c8 02 00 88 fc 40 00 72 | 3b e0 00 00 7f e4 fb 78 |.....@.r|;......x|
|00000b00| 7f e3 fb 78 c8 02 00 90 | 48 00 00 20 7c 3c 1c ae |...x....|H.. |<..|
|00000b10| fc 01 10 40 40 80 00 0c | 7c 1c 1d ae 3b ff 00 01 |...@@...||...;...|
|00000b20| 38 84 00 01 38 63 00 08 | 80 e1 00 38 7c 04 38 00 |8...8c..|...8|.8.|
|00000b30| 41 80 ff dc 80 61 00 4c | 7f 84 e3 78 7f a5 eb 78 |A....a.L|...x...x|
|00000b40| 80 c1 00 3c 81 01 00 48 | 7f 69 db 78 4b ff fc 71 |...<...H|.i.xK..q|
|00000b50| 80 61 00 4c 48 00 0f 01 | 80 41 00 14 7f a3 eb 78 |.a.LH...|.A.....x|
|00000b60| 48 00 0e f5 80 41 00 14 | 7f 83 e3 78 48 00 0e e9 |H....A..|...xH...|
|00000b70| 80 41 00 14 80 61 00 48 | 48 00 0e dd 80 41 00 14 |.A...a.H|H....A..|
|00000b80| 38 62 00 69 7f 64 db 78 | 80 a1 00 38 38 c0 00 00 |8b.i.d.x|...88...|
|00000b90| 48 00 0f 55 80 41 00 14 | c8 22 00 80 6f e0 80 00 |H..U.A..|."..o...|
|00000ba0| 90 01 00 5c 3c 00 43 30 | 90 01 00 58 c8 01 00 58 |...\<.C0|...X...X|
|00000bb0| fc 00 08 28 d8 1e 00 00 | 3b c0 00 00 48 00 0e e1 |...(....|;...H...|
|00000bc0| 80 41 00 14 7c 60 07 35 | 40 82 00 08 3b c0 00 01 |.A..|`.5|@...;...|
|00000bd0| 7f c3 f3 78 80 01 00 88 | 38 21 00 80 7c 08 03 a6 |...x....|8!..|...|
|00000be0| bb 61 ff ec 4e 80 00 20 | 7c 08 02 a6 db e1 ff f8 |.a..N.. ||.......|
|00000bf0| db c1 ff f0 db a1 ff e8 | db 81 ff e0 db 61 ff d8 |........|.....a..|
|00000c00| db 41 ff d0 db 21 ff c8 | db 01 ff c0 da e1 ff b8 |.A...!..|........|
|00000c10| da c1 ff b0 da a1 ff a8 | da 81 ff a0 da 61 ff 98 |........|.....a..|
|00000c20| be 21 ff 54 90 01 00 08 | 94 21 ff 10 7c 74 1b 78 |.!.T....|.!..|t.x|
|00000c30| 7c 95 23 78 7c b6 2b 78 | 7c d7 33 78 7c f8 3b 78 ||.#x|.+x||.3x|.;x|
|00000c40| 3b e2 01 38 ca 82 00 90 | fe 60 a0 90 fe a0 a0 90 |;..8....|.`......|
|00000c50| 57 03 18 38 48 00 0e 19 | 80 41 00 14 7c 79 1b 78 |W..8H...|.A..|y.x|
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|000018e0| 7c 08 03 a6 ba 21 ff 54 | 4e 80 00 20 7c 08 02 a6 ||....!.T|N.. |...|
|000018f0| db e1 ff f8 db c1 ff f0 | 90 01 00 08 94 21 ff b0 |........|.....!..|
|00001900| ff e0 08 90 fc 20 10 90 | 48 00 01 ad 80 41 00 14 |..... ..|H....A..|
|00001910| ff c0 08 90 fc 20 f8 90 | 48 00 01 9d 80 41 00 14 |..... ..|H....A..|
|00001920| ff e0 08 90 fc 1f f0 40 | 40 81 00 20 fc 3e f8 24 |.......@|@.. .>.$|
|00001930| c8 02 00 78 fc 21 00 7a | 48 00 01 95 80 41 00 14 |...x.!.z|H....A..|
|00001940| fc 3f 00 72 48 00 00 30 | c8 02 00 90 fc 00 f0 00 |.?.rH..0|........|
|00001950| 41 82 00 20 fc 3f f0 24 | c8 02 00 78 fc 21 00 7a |A.. .?.$|...x.!.z|
|00001960| 48 00 01 6d 80 41 00 14 | fc 3e 00 72 48 00 00 08 |H..m.A..|.>.rH...|
|00001970| fc 20 00 90 80 01 00 58 | 38 21 00 50 cb e1 ff f8 |. .....X|8!.P....|
|00001980| cb c1 ff f0 7c 08 03 a6 | 4e 80 00 20 7c 08 02 a6 |....|...|N.. |...|
|00001990| 90 01 00 08 94 21 ff c0 | 38 62 00 98 38 82 00 9c |.....!..|8b..8...|
|000019a0| 80 a2 00 5c 38 c0 00 00 | 48 00 01 55 80 41 00 14 |...\8...|H..U.A..|
|000019b0| 38 62 01 62 38 82 00 9e | 80 a2 00 54 38 c0 00 00 |8b.b8...|...T8...|
|000019c0| 48 00 01 3d 80 41 00 14 | 38 62 01 68 38 82 00 9c |H..=.A..|8b.h8...|
|000019d0| 80 a2 00 4c 38 c0 00 00 | 48 00 01 25 80 41 00 14 |...L8...|H..%.A..|
|000019e0| 38 60 00 00 80 01 00 48 | 38 21 00 40 7c 08 03 a6 |8`.....H|8!.@|...|
|000019f0| 4e 80 00 20 81 82 00 1c | 90 41 00 14 80 0c 00 00 |N.. ....|.A......|
|00001a00| 80 4c 00 04 7c 09 03 a6 | 4e 80 04 20 81 82 00 08 |.L..|...|N.. ....|
|00001a10| 90 41 00 14 80 0c 00 00 | 80 4c 00 04 7c 09 03 a6 |.A......|.L..|...|
|00001a20| 4e 80 04 20 81 82 00 14 | 90 41 00 14 80 0c 00 00 |N.. ....|.A......|
|00001a30| 80 4c 00 04 7c 09 03 a6 | 4e 80 04 20 81 82 00 24 |.L..|...|N.. ...$|
|00001a40| 90 41 00 14 80 0c 00 00 | 80 4c 00 04 7c 09 03 a6 |.A......|.L..|...|
|00001a50| 4e 80 04 20 81 82 00 00 | 90 41 00 14 80 0c 00 00 |N.. ....|.A......|
|00001a60| 80 4c 00 04 7c 09 03 a6 | 4e 80 04 20 81 82 00 04 |.L..|...|N.. ....|
|00001a70| 90 41 00 14 80 0c 00 00 | 80 4c 00 04 7c 09 03 a6 |.A......|.L..|...|
|00001a80| 4e 80 04 20 81 82 00 20 | 90 41 00 14 80 0c 00 00 |N.. ... |.A......|
|00001a90| 80 4c 00 04 7c 09 03 a6 | 4e 80 04 20 81 82 00 18 |.L..|...|N.. ....|
|00001aa0| 90 41 00 14 80 0c 00 00 | 80 4c 00 04 7c 09 03 a6 |.A......|.L..|...|
|00001ab0| 4e 80 04 20 81 82 00 28 | 90 41 00 14 80 0c 00 00 |N.. ...(|.A......|
|00001ac0| 80 4c 00 04 7c 09 03 a6 | 4e 80 04 20 81 82 00 2c |.L..|...|N.. ...,|
|00001ad0| 90 41 00 14 80 0c 00 00 | 80 4c 00 04 7c 09 03 a6 |.A......|.L..|...|
|00001ae0| 4e 80 04 20 81 82 00 10 | 90 41 00 14 80 0c 00 00 |N.. ....|.A......|
|00001af0| 80 4c 00 04 7c 09 03 a6 | 4e 80 04 20 81 82 00 0c |.L..|...|N.. ....|
|00001b00| 90 41 00 14 80 0c 00 00 | 80 4c 00 04 7c 09 03 a6 |.A......|.L..|...|
|00001b10| 4e 80 04 20 38 2a 2e 00 | 0c 24 6e 00 10 20 78 02 |N.. 8*..|.$n.. x.|
|00001b20| 00 32 22 01 38 82 02 0a | 01 1f 01 07 01 02 00 eb |.2".8...|........|
|00001b30| 00 d7 00 c4 00 ac 01 68 | 00 a4 01 62 01 23 b4 5f |.......h|...b.#._|
|00001b40| 55 01 22 5f 56 01 22 5f | 57 01 22 5f 58 85 03 02 |U."_V."_|W."_X...|
|00001b50| 40 00 00 3f f0 00 22 43 | 30 02 21 80 03 28 3c 9c |@..?.."C|0.!..(<.|
|00001b60| d2 b2 97 d8 89 bc 08 23 | 53 56 44 01 21 41 01 23 |.......#|SVD.!A.#|
|00001b70| 41 2c 42 85 03 03 06 34 | 00 02 c4 00 00 2c 00 22 |A,B....4|.....,."|
|00001b80| 17 2c 04 32 20 6e 6f 74 | 20 65 6e 6f 75 67 68 20 |.,.2 not| enough |
|00001b90| 6d 65 6d 6f 72 79 01 33 | 20 53 56 44 28 3f 29 20 |memory.3| SVD(?) |
|00001ba0| 61 72 72 61 79 20 73 69 | 7a 65 3f 01 36 20 69 6e |array si|ze?.6 in|
|00001bb0| 76 65 72 74 28 3f 29 20 | 61 72 72 61 79 20 73 69 |vert(?) |array si|
|00001bc0| 7a 65 3f 01 24 5f 49 6e | 76 01 37 20 73 6f 6c 76 |ze?.$_In|v.7 solv|
|00001bd0| 65 28 3f 2c c9 29 20 61 | 72 72 61 79 20 73 69 7a |e(?,.) a|rray siz|
|00001be0| 65 3f 01 38 20 73 6f 6c | 76 65 28 20 2c 3f 29 20 |e?.8 sol|ve( ,?) |
|00001bf0| 76 65 63 74 6f 72 20 73 | 69 7a 65 3f 01 20 29 20 |vector s|ize?. ) |
|00001c00| 53 56 44 20 64 69 64 20 | 6e 6f 74 20 63 6f 6e 76 |SVD did |not conv|
|00001c10| 65 72 67 65 20 61 66 74 | 65 72 20 33 30 20 69 74 |erge aft|er 30 it|
|00001c20| 65 72 61 74 69 6f 6e 73 | 01 25 73 6f 6c 76 65 01 |erations|.%solve.|
|00001c30| 26 69 6e 76 65 72 74 01 | 00 00 00 00 00 00 00 00 |&invert.|........|
|00001c40| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001c50| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001c60| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001c70| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001c80| 00 00 01 00 00 00 37 8c | 00 00 36 8c 00 00 00 89 |......7.|..6.....|
|00001c90| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001ca0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001cb0| 03 53 56 44 02 00 00 00 | 43 46 75 6e 4d 50 61 64 |.SVD....|CFunMPad|
|00001cc0| 01 00 00 2c 00 8b 00 00 | 00 01 29 b7 00 00 00 00 |...,....|..).....|
|00001cd0| 00 00 43 46 75 6e 4d 50 | 61 64 01 00 00 2c 00 8b |..CFunMP|ad...,..|
|00001ce0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001cf0| 00 00 b0 41 e1 f4 00 00 | 1b b8 00 00 38 15 00 00 |...A....|....8...|
|00001d00| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001d10| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001d20| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001d30| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001d40| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001d50| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001d60| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001d70| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001d80| 00 00 03 c4 2d 2d 2d 2d | 20 53 56 44 28 41 29 20 |....----| SVD(A) |
|00001d90| 20 50 65 72 66 6f 72 6d | 73 20 73 69 6e 67 75 6c | Perform|s singul|
|00001da0| 61 72 20 76 61 6c 75 65 | 20 64 65 63 6f 6d 70 6f |ar value| decompo|
|00001db0| 73 69 74 69 6f 6e 20 6f | 6e 20 74 68 65 20 61 72 |sition o|n the ar|
|00001dc0| 72 61 79 20 41 2e 20 54 | 68 72 65 65 20 67 6c 6f |ray A. T|hree glo|
|00001dd0| 62 61 6c 20 6d 61 74 72 | 69 63 65 73 20 61 72 65 |bal matr|ices are|
|00001de0| 20 63 72 65 61 74 65 64 | 2c 20 63 61 6c 6c 65 64 | created|, called|
|00001df0| 20 22 5f 55 22 2c 20 22 | 5f 56 22 2c 20 61 6e 64 | "_U", "|_V", and|
|00001e00| 20 22 5f 57 22 2e 0d 2d | 2d 20 5f 55 20 68 61 73 | "_W"..-|- _U has|
|00001e10| 20 74 68 65 20 73 61 6d | 65 20 64 69 6d 65 6e 73 | the sam|e dimens|
|00001e20| 69 6f 6e 73 20 61 73 20 | 41 2e 20 72 6f 77 73 20 |ions as |A. rows |
|00001e30| 6d 75 73 74 20 62 65 20 | 3e 3d 20 63 6f 6c 73 0d |must be |>= cols.|
|00001e40| 2d 2d 20 5f 56 20 69 73 | 20 73 71 75 61 72 65 20 |-- _V is| square |
|00001e50| 77 69 74 68 20 74 68 65 | 20 73 61 6d 65 20 6e 75 |with the| same nu|
|00001e60| 6d 62 65 72 20 6f 66 20 | 63 6f 6c 75 6d 6e 73 20 |mber of |columns |
|00001e70| 61 73 20 41 0d 2d 2d 20 | 5f 57 20 69 73 20 61 20 |as A.-- |_W is a |
|00001e80| 76 65 63 74 6f 72 20 6f | 66 20 64 69 61 67 6f 6e |vector o|f diagon|
|00001e90| 61 6c 20 76 61 6c 75 65 | 73 0d 2d 2d 20 41 20 3d |al value|s.-- A =|
|00001ea0| 20 5f 55 20 2a 20 57 64 | 69 61 67 20 2a 20 74 72 | _U * Wd|iag * tr|
|00001eb0| 61 6e 73 70 6f 73 65 28 | 5f 56 29 0d 0d 41 5b 69 |anspose(|_V)..A[i|
|00001ec0| 2c 6a 5d 20 3d 20 6a 20 | 2b 20 28 69 20 2d 20 31 |,j] = j |+ (i - 1|
|00001ed0| 29 20 2a 20 32 20 2d 20 | 31 20 64 69 6d 5b 33 2c |) * 2 - |1 dim[3,|
|00001ee0| 32 5d 20 20 2d 2d 20 65 | 78 61 6d 70 6c 65 20 6d |2] -- e|xample m|
|00001ef0| 61 74 72 69 78 0d 0d 53 | 56 44 28 41 29 3a 0d 5f |atrix..S|VD(A):._|
|00001f00| 55 3a 7b 7b 2d 30 2e 39 | 30 36 2c 2d 30 2e 31 30 |U:{{-0.9|06,-0.10|
|00001f10| 38 7d 2c 7b 2d 30 2e 33 | 31 30 2c 2d 30 2e 34 38 |8},{-0.3|10,-0.48|
|00001f20| 37 7d 2c 7b 30 2e 32 38 | 37 2c 2d 30 2e 38 36 36 |7},{0.28|7,-0.866|
|00001f30| 7d 7d 0d 5f 56 3a 7b 7b | 30 2e 37 39 39 2c 2d 30 |}}._V:{{|0.799,-0|
|00001f40| 2e 36 30 31 7d 2c 7b 2d | 30 2e 36 30 31 2c 2d 30 |.601},{-|0.601,-0|
|00001f50| 2e 37 39 39 7d 7d 0d 5f | 57 3a 7b 30 2e 36 36 33 |.799}}._|W:{0.663|
|00001f60| 2c 37 2e 33 38 36 7d 0d | 0d 57 64 69 61 67 5b 69 |,7.386}.|.Wdiag[i|
|00001f70| 2c 6a 5d 20 3d 20 5f 57 | 5b 69 5d 20 77 68 65 6e |,j] = _W|[i] when|
|00001f80| 20 69 20 3d 20 6a 2c 20 | 30 20 6f 74 68 65 72 77 | i = j, |0 otherw|
|00001f90| 69 73 65 20 20 20 20 20 | 64 69 6d 5b 32 2c 32 5d |ise |dim[2,2]|
|00001fa0| 0d 57 64 69 61 67 3a 7b | 7b 30 2e 36 36 33 2c 30 |.Wdiag:{|{0.663,0|
|00001fb0| 2e 30 30 30 7d 2c 7b 30 | 2e 30 30 30 2c 37 2e 33 |.000},{0|.000,7.3|
|00001fc0| 38 36 7d 7d 0d 0d 2d 2d | 20 43 68 65 63 6b 20 62 |86}}..--| Check b|
|00001fd0| 79 20 72 65 63 6f 6e 73 | 74 72 75 63 74 69 6e 67 |y recons|tructing|
|00001fe0| 20 6f 72 69 67 69 6e 61 | 6c 20 6d 61 74 72 69 78 | origina|l matrix|
|00001ff0| 20 66 72 6f 6d 20 5f 55 | 20 5f 56 20 5f 57 0d 41 | from _U| _V _W.A|
|00002000| 31 20 3d 20 6d 75 6c 74 | 69 70 6c 79 28 6d 75 6c |1 = mult|iply(mul|
|00002010| 74 69 70 6c 79 28 5f 55 | 2c 57 64 69 61 67 29 2c |tiply(_U|,Wdiag),|
|00002020| 74 72 61 6e 73 70 6f 73 | 65 28 5f 56 29 29 20 20 |transpos|e(_V)) |
|00002030| 0d 0d 20 41 3a 7b 7b 30 | 2e 30 30 30 2c 31 2e 30 |.. A:{{0|.000,1.0|
|00002040| 30 30 7d 2c 7b 32 2e 30 | 30 30 2c 33 2e 30 30 30 |00},{2.0|00,3.000|
|00002050| 7d 2c 7b 34 2e 30 30 30 | 2c 35 2e 30 30 30 7d 7d |},{4.000|,5.000}}|
|00002060| 0d 41 31 3a 7b 7b 30 2e | 30 30 30 2c 31 2e 30 30 |.A1:{{0.|000,1.00|
|00002070| 30 7d 2c 7b 32 2e 30 30 | 30 2c 33 2e 30 30 30 7d |0},{2.00|0,3.000}|
|00002080| 2c 7b 34 2e 30 30 30 2c | 35 2e 30 30 30 7d 7d 0d |,{4.000,|5.000}}.|
|00002090| 0d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |.-------|--------|
|000020a0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|000020b0| 2d 2d 2d 2d 2d 2d 2d 2d | 20 6d 61 74 72 69 78 20 |--------| matrix |
|000020c0| 6f 70 73 0d 6d 75 6c 74 | 69 70 6c 79 28 41 2c 42 |ops.mult|iply(A,B|
|000020d0| 29 5b 69 2c 6a 5d 20 3d | 20 73 75 6d 28 41 5b 69 |)[i,j] =| sum(A[i|
|000020e0| 2c 6b 5d 2a 42 5b 6b 2c | 6a 5d 2c 6b 2c 31 2c 63 |,k]*B[k,|j],k,1,c|
|000020f0| 6f 75 6e 74 28 42 29 29 | 20 64 69 6d 5b 63 6f 75 |ount(B))| dim[cou|
|00002100| 6e 74 28 41 29 2c 63 6f | 75 6e 74 28 42 5b 31 5d |nt(A),co|unt(B[1]|
|00002110| 29 5d 0d 74 72 61 6e 73 | 70 6f 73 65 28 41 29 5b |)].trans|pose(A)[|
|00002120| 69 2c 6a 5d 20 3d 20 41 | 5b 6a 2c 69 5d 20 64 69 |i,j] = A|[j,i] di|
|00002130| 6d 5b 63 6f 75 6e 74 28 | 41 5b 31 5d 29 2c 63 6f |m[count(|A[1]),co|
|00002140| 75 6e 74 28 41 29 5d 0d | 00 00 02 c5 2d 2d 2d 2d |unt(A)].|....----|
|00002150| 20 73 6f 6c 76 65 28 41 | 2c 42 29 20 20 53 6f 6c | solve(A|,B) Sol|
|00002160| 76 65 73 20 61 20 73 79 | 73 74 65 6d 20 6f 66 20 |ves a sy|stem of |
|00002170| 6c 69 6e 65 61 72 20 65 | 71 75 61 74 69 6f 6e 73 |linear e|quations|
|00002180| 20 41 2a 5f 58 20 3d 20 | 42 2e 20 54 68 65 20 73 | A*_X = |B. The s|
|00002190| 6f 6c 75 74 69 6f 6e 20 | 76 65 63 74 6f 72 20 69 |olution |vector i|
|000021a0| 73 20 72 65 74 75 72 6e | 65 64 20 69 6e 20 74 68 |s return|ed in th|
|000021b0| 65 20 67 6c 6f 62 61 6c | 20 61 72 72 61 79 20 22 |e global| array "|
|000021c0| 5f 58 22 2e 0d 2d 2d 20 | 41 20 63 6f 65 66 66 69 |_X"..-- |A coeffi|
|000021d0| 63 69 65 6e 74 20 6d 61 | 74 72 69 78 0d 2d 2d 20 |cient ma|trix.-- |
|000021e0| 42 20 63 6f 6e 73 74 61 | 6e 74 20 76 65 63 74 6f |B consta|nt vecto|
|000021f0| 72 0d 2d 2d 20 73 6f 6c | 76 65 28 29 20 72 65 74 |r.-- sol|ve() ret|
|00002200| 75 72 6e 73 20 74 68 65 | 20 6e 75 6d 62 65 72 20 |urns the| number |
|00002210| 6f 66 20 6e 65 61 72 20 | 7a 65 72 6f 20 57 20 65 |of near |zero W e|
|00002220| 6c 65 6d 65 6e 74 73 20 | 63 61 6c 63 75 6c 61 74 |lements |calculat|
|00002230| 65 64 20 62 79 20 53 56 | 44 2e 20 49 66 20 74 68 |ed by SV|D. If th|
|00002240| 69 73 20 69 73 20 3e 20 | 30 20 74 68 65 6e 20 41 |is is > |0 then A|
|00002250| 20 69 73 20 73 69 6e 67 | 75 6c 61 72 20 6f 72 20 | is sing|ular or |
|00002260| 6e 65 61 72 6c 79 20 73 | 6f 2e 0d 2d 2d 20 4f 76 |nearly s|o..-- Ov|
|00002270| 65 72 64 65 74 65 72 6d | 69 6e 65 64 20 73 65 74 |erdeterm|ined set|
|00002280| 73 20 28 72 6f 77 73 20 | 3e 20 63 6f 6c 73 20 66 |s (rows |> cols f|
|00002290| 6f 72 20 41 29 20 61 72 | 65 20 61 6c 6c 6f 77 65 |or A) ar|e allowe|
|000022a0| 64 2e 20 54 68 65 20 6c | 65 61 73 74 20 73 71 75 |d. The l|east squ|
|000022b0| 61 72 65 73 20 73 6f 6c | 75 74 69 6f 6e 20 69 73 |ares sol|ution is|
|000022c0| 20 72 65 74 75 72 6e 65 | 64 2e 0d 0d 2d 2d 20 65 | returne|d...-- e|
|000022d0| 78 61 6d 70 6c 65 20 73 | 79 73 74 65 6d 20 6f 66 |xample s|ystem of|
|000022e0| 20 65 71 75 61 74 69 6f | 6e 73 0d 2d 2d 20 32 78 | equatio|ns.-- 2x|
|000022f0| 20 2b 20 20 79 20 2b 20 | 20 7a 20 3d 20 32 0d 2d | + y + | z = 2.-|
|00002300| 2d 20 20 78 20 2d 20 20 | 79 20 2b 20 35 7a 20 3d |- x - |y + 5z =|
|00002310| 20 34 0d 2d 2d 20 20 20 | 20 20 20 20 79 20 2d 20 | 4.-- | y - |
|00002320| 20 7a 20 3d 20 38 0d 41 | 3d 7b 7b 20 32 2c 20 31 | z = 8.A|={{ 2, 1|
|00002330| 2c 20 31 7d 2c 20 20 2d | 2d 20 63 6f 65 66 66 69 |, 1}, -|- coeffi|
|00002340| 63 69 65 6e 74 73 0d 20 | 20 20 7b 20 31 2c 2d 31 |cients. | { 1,-1|
|00002350| 2c 20 35 7d 2c 0d 20 20 | 20 7b 20 30 2c 20 31 2c |, 5},. | { 0, 1,|
|00002360| 2d 31 7d 7d 0d 42 3d 20 | 7b 32 2c 34 2c 38 7d 20 |-1}}.B= |{2,4,8} |
|00002370| 20 20 20 20 20 2d 2d 20 | 63 6f 6e 73 74 61 6e 74 | -- |constant|
|00002380| 73 0d 0d 73 6f 6c 76 65 | 28 41 2c 42 29 3a 30 2e |s..solve|(A,B):0.|
|00002390| 30 30 30 3b 20 20 20 5f | 58 3a 7b 2d 38 2e 30 30 |000; _|X:{-8.00|
|000023a0| 30 2c 31 33 2e 30 30 30 | 2c 35 2e 30 30 30 7d 0d |0,13.000|,5.000}.|
|000023b0| 78 3d 20 5f 58 5b 31 5d | 3b 20 20 20 79 3d 20 5f |x= _X[1]|; y= _|
|000023c0| 58 5b 32 5d 3b 20 20 20 | 7a 3d 20 5f 58 5b 33 5d |X[2]; |z= _X[3]|
|000023d0| 0d 0d 32 2a 78 20 2b 20 | 20 79 20 2b 20 20 20 7a |..2*x + | y + z|
|000023e0| 3a 32 2e 30 30 30 0d 20 | 20 78 20 2d 20 20 79 20 |:2.000. | x - y |
|000023f0| 2b 20 35 2a 7a 3a 34 2e | 30 30 30 0d 20 20 20 20 |+ 5*z:4.|000. |
|00002400| 20 20 20 79 20 2d 20 20 | 20 7a 3a 38 2e 30 30 30 | y - | z:8.000|
|00002410| 0d 00 00 03 27 2d 2d 2d | 2d 20 69 6e 76 65 72 74 |....'---|- invert|
|00002420| 28 41 29 20 20 46 69 6e | 64 73 20 74 68 65 20 69 |(A) Fin|ds the i|
|00002430| 6e 76 65 72 73 65 20 6f | 66 20 6d 61 74 72 69 78 |nverse o|f matrix|
|00002440| 20 41 2e 20 54 68 65 20 | 72 65 73 75 6c 74 20 69 | A. The |result i|
|00002450| 73 20 72 65 74 75 72 6e | 65 64 20 69 6e 20 74 68 |s return|ed in th|
|00002460| 65 20 67 6c 6f 62 61 6c | 20 61 72 72 61 79 20 22 |e global| array "|
|00002470| 5f 49 6e 76 22 2e 20 0d | 2d 2d 20 69 6e 76 65 72 |_Inv". .|-- inver|
|00002480| 74 28 29 20 72 65 74 75 | 72 6e 73 20 74 68 65 20 |t() retu|rns the |
|00002490| 6e 75 6d 62 65 72 20 6f | 66 20 6e 65 61 72 20 7a |number o|f near z|
|000024a0| 65 72 6f 20 57 20 65 6c | 65 6d 65 6e 74 73 20 63 |ero W el|ements c|
|000024b0| 61 6c 63 75 6c 61 74 65 | 64 20 62 79 20 53 56 44 |alculate|d by SVD|
|000024c0| 2e 20 49 66 20 74 68 69 | 73 20 69 73 20 3e 20 30 |. If thi|s is > 0|
|000024d0| 20 74 68 65 6e 20 41 20 | 69 73 20 73 69 6e 67 75 | then A |is singu|
|000024e0| 6c 61 72 20 6f 72 20 6e | 65 61 72 6c 79 20 73 6f |lar or n|early so|
|000024f0| 2e 0d 0d 41 5b 69 2c 6a | 5d 20 3d 20 31 2f 28 69 |...A[i,j|] = 1/(i|
|00002500| 2b 6a 2d 31 29 20 64 69 | 6d 5b 6e 64 69 6d 2c 6e |+j-1) di|m[ndim,n|
|00002510| 64 69 6d 5d 20 2d 2d 20 | 45 78 61 6d 70 6c 65 3a |dim] -- |Example:|
|00002520| 20 48 69 6c 62 65 72 74 | 20 6d 61 74 72 69 78 0d | Hilbert| matrix.|
|00002530| 6e 64 69 6d 3d 34 0d 0d | 69 6e 76 65 72 74 28 41 |ndim=4..|invert(A|
|00002540| 29 3a 0d 0d 74 61 62 6c | 65 20 5f 49 6e 76 0d 20 |):..tabl|e _Inv. |
|00002550| 20 20 20 20 31 36 2e 30 | 30 30 20 20 20 2d 31 32 | 16.0|00 -12|
|00002560| 30 2e 30 30 30 20 20 20 | 20 32 34 30 2e 30 30 30 |0.000 | 240.000|
|00002570| 20 20 20 2d 31 34 30 2e | 30 30 30 0d 20 20 20 2d | -140.|000. -|
|00002580| 31 32 30 2e 30 30 30 20 | 20 20 31 32 30 30 2e 30 |120.000 | 1200.0|
|00002590| 30 30 20 20 2d 32 37 30 | 30 2e 30 30 30 20 20 20 |00 -270|0.000 |
|000025a0| 31 36 38 30 2e 30 30 30 | 0d 20 20 20 20 32 34 30 |1680.000|. 240|
|000025b0| 2e 30 30 30 20 20 2d 32 | 37 30 30 2e 30 30 30 20 |.000 -2|700.000 |
|000025c0| 20 20 36 34 38 30 2e 30 | 30 30 20 20 2d 34 32 30 | 6480.0|00 -420|
|000025d0| 30 2e 30 30 30 0d 20 20 | 20 2d 31 34 30 2e 30 30 |0.000. | -140.00|
|000025e0| 30 20 20 20 31 36 38 30 | 2e 30 30 30 20 20 2d 34 |0 1680|.000 -4|
|000025f0| 32 30 30 2e 30 30 30 20 | 20 20 32 38 30 30 2e 30 |200.000 | 2800.0|
|00002600| 30 30 0d 0d 74 61 62 6c | 65 20 6d 75 6c 74 69 70 |00..tabl|e multip|
|00002610| 6c 79 28 5f 49 6e 76 2c | 41 29 0d 20 20 20 20 20 |ly(_Inv,|A). |
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|00004920| 48 6e fe c8 3f 3c 00 04 | a9 eb 2d 6e fe c8 ff d8 |Hn..?<..|..-n....|
|00004930| 2d 6e fe cc ff dc 3d 6e | fe d0 ff e0 7a 01 4f ef |-n....=n|....z.O.|
|00004940| 00 18 60 00 01 24 20 05 | 53 80 4c 03 08 00 22 04 |..`..$ .|S.L...".|
|00004950| 53 81 d2 80 4c 3c 18 00 | 00 00 00 0a 20 4b d1 c1 |S...L<..|.... K..|
|00004960| 2d 48 fe e2 2d 50 ff ce | 2d 68 00 04 ff d2 3d 68 |-H..-P..|-h....=h|
|00004970| 00 08 ff d6 20 05 53 80 | 4c 03 08 00 22 06 53 81 |.... .S.|L...".S.|
|00004980| d2 80 4c 3c 18 00 00 00 | 00 0a 20 4b d1 c1 2d 48 |..L<....|.. K..-H|
|00004990| fe de 2d 50 ff f6 2d 68 | 00 04 ff fa 3d 68 00 08 |..-P..-h|....=h..|
|000049a0| ff fe 2d 6e ff f6 fe c8 | 2d 6e ff fa fe cc 3d 6e |..-n....|-n....=n|
|000049b0| ff fe fe d0 48 6e ff ec | 48 6e fe c8 3f 3c 00 04 |....Hn..|Hn..?<..|
|000049c0| a9 eb 2d 6e ff ce fe be | 2d 6e ff d2 fe c2 3d 6e |..-n....|-n....=n|
|000049d0| ff d6 fe c6 48 6e ff e2 | 48 6e fe be 3f 3c 00 04 |....Hn..|Hn..?<..|
|000049e0| a9 eb 48 6e fe c8 48 6e | fe be 3f 3c 00 00 a9 eb |..Hn..Hn|..?<....|
|000049f0| 20 6e fe e2 20 ae fe be | 21 6e fe c2 00 04 31 6e | n.. ...|!n....1n|
|00004a00| fe c6 00 08 2d 6e ff ce | fe c8 2d 6e ff d2 fe cc |....-n..|..-n....|
|00004a10| 3d 6e ff d6 fe d0 48 6e | ff ec 48 6e fe c8 3f 3c |=n....Hn|..Hn..?<|
|00004a20| 00 04 a9 eb 2d 6e ff f6 | fe be 2d 6e ff fa fe c2 |....-n..|..-n....|
|00004a30| 3d 6e ff fe fe c6 48 6e | ff e2 48 6e fe be 3f 3c |=n....Hn|..Hn..?<|
|00004a40| 00 04 a9 eb 48 6e fe c8 | 48 6e fe be 3f 3c 00 02 |....Hn..|Hn..?<..|
|00004a50| a9 eb 20 6e fe de 20 ae | fe be 21 6e fe c2 00 04 |.. n.. .|..!n....|
|00004a60| 31 6e fe c6 00 08 52 85 | ba 83 6f 00 fe da 2f 2e |1n....R.|..o.../.|
|00004a70| ff b2 2f 2e ff ae 3f 2e | ff ac 2f 2e ff bc 2f 2e |../...?.|../.../.|
|00004a80| ff b8 3f 2e ff b6 48 6e | ff f6 4e ba 03 58 20 04 |..?...Hn|..N..X .|
|00004a90| 53 80 4c 3c 08 00 00 00 | 00 0a 20 6e 00 0c d1 c0 |S.L<....|.. n....|
|00004aa0| 20 ae ff f6 21 6e ff fa | 00 04 31 6e ff fe 00 08 | ...!n..|..1n....|
|00004ab0| 55 4f 48 6e ff f6 48 6f | 00 04 3f 3c 00 1c a9 eb |UOHn..Ho|..?<....|
|00004ac0| 0c 5f 00 04 4f ef 00 18 | 67 00 00 96 2d 7c 3f ff |._..O...|g...-|?.|
|00004ad0| 80 00 fe c8 42 ae fe cc | 42 6e fe d0 48 6e ff f6 |....B...|Bn..Hn..|
|00004ae0| 48 6e fe c8 3f 3c 00 06 | a9 eb 2d 6e fe c8 ff f6 |Hn..?<..|..-n....|
|00004af0| 2d 6e fe cc ff fa 3d 6e | fe d0 ff fe 2d 6e ff b6 |-n....=n|....-n..|
|00004b00| fe c8 2d 6e ff ba fe cc | 3d 6e ff be fe d0 48 6e |..-n....|=n....Hn|
|00004b10| ff f6 48 6e fe c8 3f 3c | 00 04 a9 eb 2d 6e fe c8 |..Hn..?<|....-n..|
|00004b20| ff e2 2d 6e fe cc ff e6 | 3d 6e fe d0 ff ea 2d 6e |..-n....|=n....-n|
|00004b30| ff ac fe c8 2d 6e ff b0 | fe cc 3d 6e ff b4 fe d0 |....-n..|..=n....|
|00004b40| 48 6e ff f6 48 6e fe c8 | 3f 3c 00 04 a9 eb 2d 6e |Hn..Hn..|?<....-n|
|00004b50| fe c8 ff ec 2d 6e fe cc | ff f0 3d 6e fe d0 ff f4 |....-n..|..=n....|
|00004b60| 2d 6e ff ec fe c8 2d 6e | ff f0 fe cc 3d 6e ff f4 |-n....-n|....=n..|
|00004b70| fe d0 48 6e ff d8 48 6e | fe c8 3f 3c 00 04 a9 eb |..Hn..Hn|..?<....|
|00004b80| 2d 6e ff e2 fe be 2d 6e | ff e6 fe c2 3d 6e ff ea |-n....-n|....=n..|
|00004b90| fe c6 48 6e ff c0 48 6e | fe be 3f 3c 00 04 a9 eb |..Hn..Hn|..?<....|
|00004ba0| 48 6e fe c8 48 6e fe be | 3f 3c 00 00 a9 eb 2d 6e |Hn..Hn..|?<....-n|
|00004bb0| fe be ff b6 2d 6e fe c2 | ff ba 3d 6e fe c6 ff be |....-n..|..=n....|
|00004bc0| 2d 6e ff ec fe c8 2d 6e | ff f0 fe cc 3d 6e ff f4 |-n....-n|....=n..|
|00004bd0| fe d0 48 6e ff c0 48 6e | fe c8 3f 3c 00 04 a9 eb |..Hn..Hn|..?<....|
|00004be0| 2d 6e ff e2 fe be 2d 6e | ff e6 fe c2 3d 6e ff ea |-n....-n|....=n..|
|00004bf0| fe c6 48 6e ff d8 48 6e | fe be 3f 3c 00 04 a9 eb |..Hn..Hn|..?<....|
|00004c00| 48 6e fe c8 48 6e fe be | 3f 3c 00 02 a9 eb 2d 6e |Hn..Hn..|?<....-n|
|00004c10| fe be ff ce 2d 6e fe c2 | ff d2 3d 6e fe c6 ff d6 |....-n..|..=n....|
|00004c20| 7a 01 60 00 01 24 20 05 | 53 80 4c 03 08 00 22 04 |z.`..$ .|S.L...".|
|00004c30| 53 81 d2 80 4c 3c 18 00 | 00 00 00 0a 20 4a d1 c1 |S...L<..|.... J..|
|00004c40| 2d 48 fe da 2d 50 ff d8 | 2d 68 00 04 ff dc 3d 68 |-H..-P..|-h....=h|
|00004c50| 00 08 ff e0 20 05 53 80 | 4c 03 08 00 22 06 53 81 |.... .S.|L...".S.|
|00004c60| d2 80 4c 3c 18 00 00 00 | 00 0a 20 4a d1 c1 2d 48 |..L<....|.. J..-H|
|00004c70| fe d6 2d 50 ff f6 2d 68 | 00 04 ff fa 3d 68 00 08 |..-P..-h|....=h..|
|00004c80| ff fe 2d 6e ff f6 fe c8 | 2d 6e ff fa fe cc 3d 6e |..-n....|-n....=n|
|00004c90| ff fe fe d0 48 6e ff ec | 48 6e fe c8 3f 3c 00 04 |....Hn..|Hn..?<..|
|00004ca0| a9 eb 2d 6e ff d8 fe be | 2d 6e ff dc fe c2 3d 6e |..-n....|-n....=n|
|00004cb0| ff e0 fe c6 48 6e ff e2 | 48 6e fe be 3f 3c 00 04 |....Hn..|Hn..?<..|
|00004cc0| a9 eb 48 6e fe c8 48 6e | fe be 3f 3c 00 00 a9 eb |..Hn..Hn|..?<....|
|00004cd0| 20 6e fe da 20 ae fe be | 21 6e fe c2 00 04 31 6e | n.. ...|!n....1n|
|00004ce0| fe c6 00 08 2d 6e ff d8 | fe c8 2d 6e ff dc fe cc |....-n..|..-n....|
|00004cf0| 3d 6e ff e0 fe d0 48 6e | ff ec 48 6e fe c8 3f 3c |=n....Hn|..Hn..?<|
|00004d00| 00 04 a9 eb 2d 6e ff f6 | fe be 2d 6e ff fa fe c2 |....-n..|..-n....|
|00004d10| 3d 6e ff fe fe c6 48 6e | ff e2 48 6e fe be 3f 3c |=n....Hn|..Hn..?<|
|00004d20| 00 04 a9 eb 48 6e fe c8 | 48 6e fe be 3f 3c 00 02 |....Hn..|Hn..?<..|
|00004d30| a9 eb 20 6e fe d6 20 ae | fe be 21 6e fe c2 00 04 |.. n.. .|..!n....|
|00004d40| 31 6e fe c6 00 08 52 85 | ba ae 00 14 6f 00 fe d8 |1n....R.|....o...|
|00004d50| 52 84 b8 ae ff ca 6f 00 | f9 76 20 2e ff 9e 53 80 |R.....o.|.v ...S.|
|00004d60| 4c 3c 08 00 00 00 00 0a | 20 6e ff 9a d1 c0 42 90 |L<......| n....B.|
|00004d70| 42 a8 00 04 42 68 00 08 | 20 07 53 80 4c 3c 08 00 |B...Bh..| .S.L<..|
|00004d80| 00 00 00 0a 2d 40 fe d2 | 20 6e ff 9a d1 c0 20 ae |....-@..| n.... .|
|00004d90| ff b6 21 6e ff ba 00 04 | 31 6e ff be 00 08 20 6e |..!n....|1n.... n|
|00004da0| 00 0c d1 c0 20 ae ff ce | 21 6e ff d2 00 04 31 6e |.... ...|!n....1n|
|00004db0| ff d6 00 08 52 ae ff 6e | 70 1e b0 ae ff 6e 6c 00 |....R..n|p....nl.|
|00004dc0| f1 44 53 87 70 01 be 80 | 6c 00 f1 30 20 6e ff 9a |.DS.p...|l..0 n..|
|00004dd0| a0 1f 4c df 0c f8 4e 5e | 4e 75 86 73 76 64 63 6d |..L...N^|Nu.svdcm|
|00004de0| 70 00 00 00 4e 56 ff 92 | 2f 2e 00 1c 2f 2e 00 18 |p...NV..|/.../...|
|00004df0| 3f 2e 00 16 48 6e ff c4 | 4e ba 04 58 2d 6e ff c4 |?...Hn..|N..X-n..|
|00004e00| ff ec 2d 6e ff c8 ff f0 | 3d 6e ff cc ff f4 2f 2e |..-n....|=n..../.|
|00004e10| 00 12 2f 2e 00 0e 3f 2e | 00 0c 48 6e ff ce 4e ba |../...?.|..Hn..N.|
|00004e20| 04 32 2d 6e ff ce ff e2 | 2d 6e ff d2 ff e6 3d 6e |.2-n....|-n....=n|
|00004e30| ff d6 ff ea 48 6e ff c4 | 48 6e ff ce 3f 3c 00 08 |....Hn..|Hn..?<..|
|00004e40| a9 eb 4f ef 00 1c 6f 00 | 00 c0 2d 6e ff ec ff 92 |..O...o.|..-n....|
|00004e50| 2d 6e ff f0 ff 96 3d 6e | ff f4 ff 9a 48 6e ff e2 |-n....=n|....Hn..|
|00004e60| 48 6e ff 92 3f 3c 00 06 | a9 eb 2d 6e ff 92 ff f6 |Hn..?<..|..-n....|
|00004e70| 2d 6e ff 96 ff fa 3d 6e | ff 9a ff fe 2d 6e ff f6 |-n....=n|....-n..|
|00004e80| ff 92 2d 6e ff fa ff 96 | 3d 6e ff fe ff 9a 48 6e |..-n....|=n....Hn|
|00004e90| ff f6 48 6e ff 92 3f 3c | 00 04 a9 eb 2d 7c 3f ff |..Hn..?<|....-|?.|
|00004ea0| 80 00 ff 9c 42 ae ff a0 | 42 6e ff a4 48 6e ff 92 |....B...|Bn..Hn..|
|00004eb0| 48 6e ff 9c 3f 3c 00 00 | a9 eb 2f 2e ff a2 2f 2e |Hn..?<..|../.../.|
|00004ec0| ff 9e 3f 2e ff 9c 48 6e | ff ba 4e ba 03 ba 2d 6e |..?...Hn|..N...-n|
|00004ed0| ff e2 ff a6 2d 6e ff e6 | ff aa 3d 6e ff ea ff ae |....-n..|..=n....|
|00004ee0| 48 6e ff ba 48 6e ff a6 | 3f 3c 00 04 a9 eb 2d 6e |Hn..Hn..|?<....-n|
|00004ef0| ff a6 ff d8 2d 6e ff aa | ff dc 3d 6e ff ae ff e0 |....-n..|..=n....|
|00004f00| 4f ef 00 0e 60 00 00 e8 | 42 ae ff a6 42 ae ff aa |O...`...|B...B...|
|00004f10| 42 6e ff ae 48 6e ff ec | 48 6e ff a6 3f 3c 00 08 |Bn..Hn..|Hn..?<..|
|00004f20| a9 eb 67 00 00 be 2d 6e | ff e2 ff a6 2d 6e ff e6 |..g...-n|....-n..|
|00004f30| ff aa 3d 6e ff ea ff ae | 48 6e ff ec 48 6e ff a6 |..=n....|Hn..Hn..|
|00004f40| 3f 3c 00 06 a9 eb 2d 6e | ff a6 ff f6 2d 6e ff aa |?<....-n|....-n..|
|00004f50| ff fa 3d 6e ff ae ff fe | 2d 6e ff f6 ff a6 2d 6e |..=n....|-n....-n|
|00004f60| ff fa ff aa 3d 6e ff fe | ff ae 48 6e ff f6 48 6e |....=n..|..Hn..Hn|
|00004f70| ff a6 3f 3c 00 04 a9 eb | 2d 7c 3f ff 80 00 ff 9c |..?<....|-|?.....|
|00004f80| 42 ae ff a0 42 6e ff a4 | 48 6e ff a6 48 6e ff 9c |B...Bn..|Hn..Hn..|
|00004f90| 3f 3c 00 00 a9 eb 2f 2e | ff a2 2f 2e ff 9e 3f 2e |?<..../.|../...?.|
|00004fa0| ff 9c 48 6e ff b0 4e ba | 02 de 2d 6e ff ec ff 92 |..Hn..N.|..-n....|
|00004fb0| 2d 6e ff f0 ff 96 3d 6e | ff f4 ff 9a 48 6e ff b0 |-n....=n|....Hn..|
|00004fc0| 48 6e ff 92 3f 3c 00 04 | a9 eb 2d 6e ff 92 ff d8 |Hn..?<..|..-n....|
|00004fd0| 2d 6e ff 96 ff dc 3d 6e | ff 9a ff e0 4f ef 00 0e |-n....=n|....O...|
|00004fe0| 60 0c 42 ae ff d8 42 ae | ff dc 42 6e ff e0 20 6e |`.B...B.|..Bn.. n|
|00004ff0| 00 08 20 ae ff d8 21 6e | ff dc 00 04 31 6e ff e0 |.. ...!n|....1n..|
|00005000| 00 08 4e 5e 4e 75 86 50 | 59 54 48 41 47 00 00 00 |..N^Nu.P|YTHAG...|
|00005010| 4e 56 00 00 2f 2e 00 14 | 2f 2e 00 10 2f 2e 00 0c |NV../...|/.../...|
|00005020| 2f 2e 00 08 42 a7 20 6c | 00 c6 4e 90 4e 5e 4e 75 |/...B. l|..N.N^Nu|
|00005030| 87 41 64 64 58 66 75 6e | 00 00 4e 56 00 00 2f 2e |.AddXfun|..NV../.|
|00005040| 00 0c 2f 2e 00 08 48 78 | 00 01 20 6c 00 c6 4e 90 |../...Hx|.. l..N.|
|00005050| 4e 5e 4e 75 86 45 72 72 | 4d 73 67 00 00 00 4e 56 |N^Nu.Err|Msg...NV|
|00005060| 00 00 2f 2e 00 08 48 78 | 00 02 20 6c 00 c6 4e 90 |../...Hx|.. l..N.|
|00005070| 4e 5e 4e 75 88 46 72 65 | 65 45 78 70 72 00 00 00 |N^Nu.Fre|eExpr...|
|00005080| 4e 56 00 00 2f 2e 00 14 | 2f 2e 00 10 2f 2e 00 0c |NV../...|/.../...|
|00005090| 2f 2e 00 08 48 78 00 0c | 20 6c 00 c6 4e 90 4e 5e |/...Hx..| l..N.N^|
|000050a0| 4e 75 8d 47 65 74 45 78 | 70 72 4d 61 74 72 69 78 |Nu.GetEx|prMatrix|
|000050b0| 00 00 4e 56 00 00 2f 2e | 00 0c 2f 2e 00 08 48 78 |..NV../.|../...Hx|
|000050c0| 00 05 20 6c 00 c6 4e 90 | 4e 5e 4e 75 8c 4d 61 6b |.. l..N.|N^Nu.Mak|
|000050d0| 65 50 61 72 6d 45 78 70 | 72 00 00 00 4e 56 00 00 |eParmExp|r...NV..|
|000050e0| 2f 2e 00 14 2f 2e 00 10 | 2f 2e 00 0c 2f 2e 00 08 |/.../...|/.../...|
|000050f0| 48 78 00 0e 20 6c 00 c6 | 4e 90 4e 5e 4e 75 8c 53 |Hx.. l..|N.N^Nu.S|
|00005100| 65 74 56 61 72 4d 61 74 | 72 69 78 00 00 00 4e 56 |etVarMat|rix...NV|
|00005110| 00 00 48 78 00 0f 20 6c | 00 c6 4e 90 4e 5e 4e 75 |..Hx.. l|..N.N^Nu|
|00005120| 87 53 74 6f 70 70 65 64 | 00 00 4e 56 00 00 48 78 |.Stopped|..NV..Hx|
|00005130| 00 10 20 6c 00 c6 4e 90 | 4e 5e 4e 75 89 53 70 69 |.. l..N.|N^Nu.Spi|
|00005140| 6e 57 61 74 63 68 00 00 | 20 0c 49 fa 00 06 28 54 |nWatch..| .I...(T|
|00005150| 4e 75 00 00 00 00 41 fa | ff fa 20 8c 4e 75 88 52 |Nu....A.|.. .Nu.R|
|00005160| 65 63 61 6c 6c 41 34 00 | 00 00 4e 56 ff fc 4e ba |ecallA4.|..NV..N.|
|00005170| ff d8 2d 40 ff fc 2f 2e | 00 08 4e ba d6 04 20 2e |..-@../.|..N... .|
|00005180| ff fc c1 8c 70 00 4e 5e | 4e 75 85 64 6f 73 76 64 |....p.N^|Nu.dosvd|
|00005190| 00 00 4e 56 ff fa 4e ba | ff b0 2d 40 ff fa 2f 2e |..NV..N.|..-@../.|
|000051a0| 00 08 4e ba dc 02 3d 40 | ff fe 20 2e ff fa c1 8c |..N...=@|.. .....|
|000051b0| 30 2e ff fe 4e 5e 4e 75 | 87 64 6f 73 6f 6c 76 65 |0...N^Nu|.dosolve|
|000051c0| 00 00 4e 56 ff fa 4e ba | ff 80 2d 40 ff fa 2f 2e |..NV..N.|..-@../.|
|000051d0| 00 08 4e ba d8 18 3d 40 | ff fe 20 2e ff fa c1 8c |..N...=@|.. .....|
|000051e0| 30 2e ff fe 4e 5e 4e 75 | 89 64 6f 69 6e 76 65 72 |0...N^Nu|.doinver|
|000051f0| 73 65 00 00 4e 56 ff fc | 4e ba d5 56 2d 40 ff fc |se..NV..|N..V-@..|
|00005200| 4e ba ff 54 29 6e 00 08 | 00 c6 42 a7 48 7a ff 5c |N..T)n..|..B.Hz.\|
|00005210| 48 6c 00 12 48 6c 00 14 | 4e ba fd f6 42 a7 48 7a |Hl..Hl..|N...B.Hz|
|00005220| ff 72 48 6c 00 08 48 6c | 00 0c 4e ba fd e4 42 a7 |.rHl..Hl|..N...B.|
|00005230| 48 7a ff 90 48 6c 00 12 | 48 6c 00 00 4e ba fd d2 |Hz..Hl..|Hl..N...|
|00005240| 20 2e ff fc c1 8c 4e 5e | 4e 75 84 6d 61 69 6e 00 | .....N^|Nu.main.|
|00005250| 00 00 4f ef ff f6 2e af | 00 12 2f 6f 00 16 00 04 |..O.....|../o....|
|00005260| 3f 6f 00 1a 00 08 48 57 | 3f 3c 00 0f a9 eb 20 6f |?o....HW|?<.... o|
|00005270| 00 0e 20 97 21 6f 00 04 | 00 04 31 6f 00 08 00 08 |.. .!o..|..1o....|
|00005280| 4f ef 00 0a 4e 75 4f ef | ff ec 2f 6f 00 1c 00 0a |O...NuO.|../o....|
|00005290| 2f 6f 00 20 00 0e 3f 6f | 00 24 00 12 42 97 42 af |/o. ..?o|.$..B.B.|
|000052a0| 00 04 42 6f 00 08 48 57 | 48 6f 00 20 3f 3c 00 08 |..Bo..HW|Ho. ?<..|
|000052b0| a9 eb 6c 16 39 7c 00 21 | 00 c4 20 6f 00 18 42 90 |..l.9|.!|.. o..B.|
|000052c0| 42 a8 00 04 42 68 00 08 | 60 1e 48 6f 00 0a 3f 3c |B...Bh..|`.Ho..?<|
|000052d0| 00 12 a9 eb 20 6f 00 18 | 20 af 00 0a 21 6f 00 0e |.... o..| ...!o..|
|000052e0| 00 04 31 6f 00 12 00 08 | 4f ef 00 14 4e 75 69 6e |..1o....|O...Nuin|
|000052f0| 76 65 72 74 00 00 41 2c | 42 00 73 6f 6c 76 65 00 |vert..A,|B.solve.|
|00005300| 41 00 53 56 44 00 20 53 | 56 44 20 64 69 64 20 6e |A.SVD. S|VD did n|
|00005310| 6f 74 20 63 6f 6e 76 65 | 72 67 65 20 61 66 74 65 |ot conve|rge afte|
|00005320| 72 20 33 30 20 69 74 65 | 72 61 74 69 6f 6e 73 00 |r 30 ite|rations.|
|00005330| 5f 58 00 20 73 6f 6c 76 | 65 28 20 2c 3f 29 20 76 |_X. solv|e( ,?) v|
|00005340| 65 63 74 6f 72 20 73 69 | 7a 65 3f 00 20 73 6f 6c |ector si|ze?. sol|
|00005350| 76 65 28 3f 2c c9 29 20 | 61 72 72 61 79 20 73 69 |ve(?,.) |array si|
|00005360| 7a 65 3f 00 5f 49 6e 76 | 00 20 69 6e 76 65 72 74 |ze?._Inv|. invert|
|00005370| 28 3f 29 20 61 72 72 61 | 79 20 73 69 7a 65 3f 00 |(?) arra|y size?.|
|00005380| 5f 57 00 5f 56 00 5f 55 | 00 00 20 53 56 44 28 3f |_W._V._U|.. SVD(?|
|00005390| 29 20 61 72 72 61 79 20 | 73 69 7a 65 3f 00 20 6e |) array |size?. n|
|000053a0| 6f 74 20 65 6e 6f 75 67 | 68 20 6d 65 6d 6f 72 79 |ot enoug|h memory|
|000053b0| 00 00 00 00 00 00 00 00 | 00 00 00 50 00 00 00 00 |........|...P....|
|000053c0| 00 00 00 00 00 00 00 01 | 00 00 00 00 00 00 00 00 |........|........|
|000053d0| 00 00 00 00 00 00 00 00 | 00 00 00 01 70 77 70 63 |........|....pwpc|
|000053e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000053f0| 00 00 00 01 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00005400| 00 00 00 00 00 30 03 73 | 76 64 00 00 00 00 01 00 |.....0.s|vd......|
|00005410| 00 00 37 8c 00 00 36 8c | 00 00 00 89 01 ad 57 cc |..7...6.|......W.|
|00005420| 32 50 00 00 00 1c 00 72 | 00 02 54 45 58 54 00 02 |2P.....r|..TEXT..|
|00005430| 00 1a 58 46 75 6e 00 00 | 00 3e 63 66 72 67 00 00 |..XFun..|.>cfrg..|
|00005440| 00 4a 00 82 00 00 00 00 | 00 00 00 00 00 00 00 80 |.J......|........|
|00005450| 00 06 00 00 03 c8 00 00 | 00 00 00 81 00 0e 00 00 |........|........|
|00005460| 06 91 00 00 00 00 00 01 | ff ff 00 00 09 bc 00 00 |........|........|
|00005470| 00 00 00 00 ff ff 00 00 | 36 38 01 ad 54 30 05 53 |........|68..T0.S|
|00005480| 56 44 28 29 07 73 6f 6c | 76 65 28 29 08 69 6e 76 |VD().sol|ve().inv|
|00005490| 65 72 74 28 29 00 00 00 | 00 00 00 00 00 00 00 00 |ert()...|........|
|000054a0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000054b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000054c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000054d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000054e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000054f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
+--------+-------------------------+-------------------------+--------+--------+
