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|00000000| 00 0a 76 65 63 74 6f 72 | 20 6f 70 73 00 00 00 00 |..vector| ops....|
|00000010| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000020| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000030| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000040| 00 54 45 58 54 4d 50 61 | 64 01 00 00 00 00 00 00 |.TEXTMPa|d.......|
|00000050| 00 00 00 00 00 02 b7 00 | 00 01 8e ab c9 d5 15 ab |........|........|
|00000060| c9 d5 15 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000070| 00 00 00 00 00 00 00 00 | 00 00 81 81 c2 e8 00 00 |........|........|
|00000080| 2d 2d 20 41 72 72 61 79 | 73 20 63 61 6e 20 62 65 |-- Array|s can be|
|00000090| 20 75 73 65 64 20 74 6f | 20 72 65 70 72 65 73 65 | used to| represe|
|000000a0| 6e 74 20 76 65 63 74 6f | 72 73 2e 20 41 64 64 69 |nt vecto|rs. Addi|
|000000b0| 74 69 6f 6e 2c 20 73 75 | 62 74 72 61 63 74 69 6f |tion, su|btractio|
|000000c0| 6e 20 61 6e 64 20 6d 75 | 6c 74 69 70 6c 69 63 61 |n and mu|ltiplica|
|000000d0| 74 69 6f 6e 20 62 79 20 | 61 20 73 63 61 6c 61 72 |tion by |a scalar|
|000000e0| 20 63 61 6e 20 62 65 20 | 64 6f 6e 65 20 64 69 72 | can be |done dir|
|000000f0| 65 63 74 6c 79 2e 20 54 | 68 65 20 66 6f 6c 6c 6f |ectly. T|he follo|
|00000100| 77 69 6e 67 20 66 75 6e | 63 74 69 6f 6e 73 20 69 |wing fun|ctions i|
|00000110| 6d 70 6c 65 6d 65 6e 74 | 20 6f 74 68 65 72 20 62 |mplement| other b|
|00000120| 61 73 69 63 20 76 65 63 | 74 6f 72 20 6f 70 65 72 |asic vec|tor oper|
|00000130| 61 74 69 6f 6e 73 2e 0d | 0d 64 6f 74 28 41 2c 42 |ations..|.dot(A,B|
|00000140| 29 20 3d 20 73 75 6d 28 | 41 5b 69 5d 2a 42 5b 69 |) = sum(|A[i]*B[i|
|00000150| 5d 2c 69 2c 31 2c 63 6f | 75 6e 74 28 41 29 29 0d |],i,1,co|unt(A)).|
|00000160| 0d 6d 61 67 6e 69 74 75 | 64 65 28 41 29 20 3d 20 |.magnitu|de(A) = |
|00000170| 73 71 72 74 28 64 6f 74 | 28 41 2c 41 29 29 0d 0d |sqrt(dot|(A,A))..|
|00000180| 63 72 6f 73 73 28 41 2c | 42 29 20 3d 20 7b 41 5b |cross(A,|B) = {A[|
|00000190| 32 5d 2a 42 5b 33 5d 2d | 41 5b 33 5d 2a 42 5b 32 |2]*B[3]-|A[3]*B[2|
|000001a0| 5d 2c 20 20 2d 2d 20 33 | 44 20 6f 6e 6c 79 0d 20 |],  -- 3|D only. |
|000001b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 41 5b 33 |        |     A[3|
|000001c0| 5d 2a 42 5b 31 5d 2d 41 | 5b 31 5d 2a 42 5b 33 5d |]*B[1]-A|[1]*B[3]|
|000001d0| 2c 0d 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |,.      |        |
|000001e0| 41 5b 31 5d 2a 42 5b 32 | 5d 2d 41 5b 32 5d 2a 42 |A[1]*B[2|]-A[2]*B|
|000001f0| 5b 31 5d 7d 0d 0d 2d 2d | 20 63 61 72 74 65 73 69 |[1]}..--| cartesi|
|00000200| 61 6e 20 74 6f 20 73 70 | 68 65 72 69 63 61 6c 20 |an to sp|herical |
|00000210| 63 6f 6f 72 64 69 6e 61 | 74 65 73 0d 73 70 68 65 |coordina|tes.sphe|
|00000220| 72 69 63 61 6c 28 41 29 | 20 3d 20 7b 6d 61 67 6e |rical(A)| = {magn|
|00000230| 69 74 75 64 65 28 41 29 | 2c 0d 20 20 20 20 20 20 |itude(A)|,.      |
|00000240| 20 20 20 20 20 20 20 20 | 20 20 61 63 6f 73 28 41 |        |  acos(A|
|00000250| 5b 33 5d 2f 6d 61 67 6e | 69 74 75 64 65 28 41 29 |[3]/magn|itude(A)|
|00000260| 29 2c 0d 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |),.     |        |
|00000270| 20 20 20 61 74 61 6e 32 | 28 41 5b 32 5d 2c 41 5b |   atan2|(A[2],A[|
|00000280| 31 5d 29 7d 0d 0d 2d 2d | 20 73 70 68 65 72 69 63 |1])}..--| spheric|
|00000290| 61 6c 20 74 6f 20 63 61 | 72 74 65 73 69 61 6e 20 |al to ca|rtesian |
|000002a0| 63 6f 6f 72 64 69 6e 61 | 74 65 73 0d 63 61 72 74 |coordina|tes.cart|
|000002b0| 65 73 69 61 6e 28 72 2c | 74 68 65 74 61 2c 70 68 |esian(r,|theta,ph|
|000002c0| 69 29 20 3d 20 7b 72 2a | 73 69 6e 28 74 68 65 74 |i) = {r*|sin(thet|
|000002d0| 61 29 2a 63 6f 73 28 70 | 68 69 29 2c 0d 20 20 20 |a)*cos(p|hi),.   |
|000002e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000002f0| 20 20 20 20 20 20 20 72 | 2a 73 69 6e 28 74 68 65 |       r|*sin(the|
|00000300| 74 61 29 2a 73 69 6e 28 | 70 68 69 29 2c 0d 20 20 |ta)*sin(|phi),.  |
|00000310| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000320| 20 20 20 20 20 20 20 20 | 72 2a 63 6f 73 28 74 68 |        |r*cos(th|
|00000330| 65 74 61 29 20 7d 0d 00 | 00 00 00 00 00 00 00 00 |eta) }..|........|
|00000340| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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|00000360| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000370| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000380| 00 00 01 00 00 00 01 3c | 00 00 00 3c 00 00 00 52 |.......<|...<...R|
|00000390| 32 59 72 58 b7 5f 01 b0 | a8 a2 01 66 1e 20 1a 31 |2YrX._..|...f. .1|
|000003a0| 20 1c c3 01 28 2b 6f 02 | 4a 05 66 6c 7f 20 1b 59 | ...(+o.|J.fl. .Y|
|000003b0| 0a 76 65 63 74 6f 72 20 | 6f 70 73 00 02 00 00 00 |.vector |ops.....|
|000003c0| 54 45 58 54 4d 50 61 64 | 01 00 00 34 00 00 00 00 |TEXTMPad|...4....|
|000003d0| 00 00 54 45 58 54 4d 50 | 61 64 01 00 00 34 00 00 |..TEXTMP|ad...4..|
|000003e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000003f0| 00 00 a8 40 c7 2a 00 00 | 02 b7 00 00 01 8e 20 17 |...@.*..|...... .|
|00000400| 08 ff b9 20 38 02 f0 e3 | 88 d8 80 42 05 42 06 42 |... 8...|...B.B.B|
|00000410| 07 50 02 09 22 1a 00 98 | 03 a9 75 b8 9f 55 c0 13 |.P.."...|..u..U..|
|00000420| 02 40 00 01 48 c0 01 1e | 00 50 01 09 12 56 e7 74 |.@..H...|.P...V.t|
|00000430| 50 20 14 01 5d c0 20 23 | 02 1c 00 4a 05 6d d8 01 |P ..]. #|...J.m..|
|00000440| 4a 07 ab 34 01 67 c0 34 | 02 66 20 4a 07 3f 01 70 |J..4.g.4|.f J.?.p|
|00000450| 0a b3 57 03 ff 96 a9 71 | 4a 1f d6 7d 02 b0 6e ff |..W....q|J..}..n.|
|00000460| 96 ab d4 01 ff b8 d9 02 | ff b8 67 28 20 1a 31 d9 |........|..g( .1.|
|00000470| 01 ff b9 68 4f a6 20 18 | 7f 01 21 6e 54 02 00 4c |...hO. .|..!nT..L|
|00000480| 00 00 00 20 00 00 00 03 | 00 02 3f f9 8e fa 35 12 |... ....|..?...5.|
|00000490| 94 e9 c8 ae 01 39 00 e0 | 00 03 00 28 01 06 01 2c |.....9..|...(...,|
|000004a0| 00 f8 00 28 00 00 00 14 | 00 04 06 4d 6f 6e 61 63 |...(....|...Monac|
|000004b0| 6f 01 39 06 4d 6f 6e 61 | 63 6f 01 39 00 00 01 00 |o.9.Mona|co.9....|
|000004c0| 00 00 01 3c 00 00 00 3c | 00 00 00 52 00 25 54 e4 |...<...<|...R.%T.|
|000004d0| 08 74 00 00 00 1c 00 46 | 00 01 50 52 65 66 00 00 |.t.....F|..PRef..|
|000004e0| 00 12 53 54 52 23 00 00 | 00 1e 00 80 ff ff 00 00 |..STR#..|........|
|000004f0| 00 00 00 25 54 6c 00 81 | 00 00 00 00 00 24 00 25 |...%Tl..|.....$.%|
|00000500| 54 10 0b 66 6f 6e 74 20 | 26 20 73 69 7a 65 00 00 |T..font |& size..|
|00000510| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000520| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000530| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000540| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000550| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000560| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000570| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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