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23e0 6e 76 65 6e 69 65 6e 63 65 20 66 75 6e 63 74 69 6f 6e 20 66 6f 72 20 6f 70 65 72 61 74 69 6f 6e nvenience.function.for.operation
2400 73 20 74 68 61 74 20 77 61 6e 74 20 74 6f 20 63 6f 6c 6c 61 70 73 65 0a 20 20 20 20 20 20 20 20 s.that.want.to.collapse.........
2420 74 6f 20 61 20 73 63 61 6c 61 72 20 6c 69 6b 65 20 5f 61 6c 69 67 6e 2c 20 62 75 74 20 61 72 65 to.a.scalar.like._align,.but.are
2440 20 75 73 69 6e 67 20 6b 65 65 70 64 69 6d 73 3d 54 72 75 65 0a 20 20 20 20 20 20 20 20 72 73 00 .using.keepdims=True.........rs.
2460 00 00 72 4e 00 00 00 72 75 00 00 00 73 02 00 00 00 20 20 72 24 00 00 00 da 09 5f 63 6f 6c 6c 61 ..rN...ru...s......r$....._colla
2480 70 73 65 7a 10 6d 61 74 72 69 78 2e 5f 63 6f 6c 6c 61 70 73 65 05 01 00 00 73 18 00 00 00 80 00 psez.matrix._collapse....s......
24a0 f0 08 00 0c 10 88 3c d8 13 17 98 04 91 3a d0 0c 1d e0 13 17 88 4b 72 26 00 00 00 63 01 00 00 00 ......<......:.......Kr&...c....
24c0 00 00 00 00 00 00 00 00 02 00 00 00 03 00 00 00 f3 3e 00 00 00 97 00 7c 00 6a 01 00 00 00 00 00 .................>.....|.j......
24e0 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 6a 03 00 00 00 00 00 00 00 00 00 .....................j..........
2500 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 53 00 29 01 61 c2 01 00 00 0a 20 20 20 20 20 .................S.).a..........
2520 20 20 20 52 65 74 75 72 6e 20 74 68 65 20 6d 61 74 72 69 78 20 61 73 20 61 20 28 70 6f 73 73 69 ...Return.the.matrix.as.a.(possi
2540 62 6c 79 20 6e 65 73 74 65 64 29 20 6c 69 73 74 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 60 bly.nested).list...........See.`
2560 6e 64 61 72 72 61 79 2e 74 6f 6c 69 73 74 60 20 66 6f 72 20 66 75 6c 6c 20 64 6f 63 75 6d 65 6e ndarray.tolist`.for.full.documen
2580 74 61 74 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 tation...........See.Also.......
25a0 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6e 64 61 72 72 61 79 2e 74 6f 6c 69 73 ..--------.........ndarray.tolis
25c0 74 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d t..........Examples.........----
25e0 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e ----.........>>>.x.=.np.matrix(n
2600 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 65 73 68 61 70 65 28 28 33 2c 34 29 29 29 3b 20 78 0a p.arange(12).reshape((3,4)));.x.
2620 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d ........matrix([[.0,..1,..2,..3]
2640 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 ,.................[.4,..5,..6,..
2660 37 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 7],.................[.8,..9,.10,
2680 20 31 31 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 74 6f 6c 69 73 74 28 29 0a 20 20 .11]]).........>>>.x.tolist()...
26a0 20 20 20 20 20 20 5b 5b 30 2c 20 31 2c 20 32 2c 20 33 5d 2c 20 5b 34 2c 20 35 2c 20 36 2c 20 37 ......[[0,.1,.2,.3],.[4,.5,.6,.7
26c0 5d 2c 20 5b 38 2c 20 39 2c 20 31 30 2c 20 31 31 5d 5d 0a 0a 20 20 20 20 20 20 20 20 29 02 da 09 ],.[8,.9,.10,.11]]..........)...
26e0 5f 5f 61 72 72 61 79 5f 5f da 06 74 6f 6c 69 73 74 a9 01 72 54 00 00 00 73 01 00 00 00 20 72 24 __array__..tolist..rT...s.....r$
2700 00 00 00 72 7c 00 00 00 7a 0d 6d 61 74 72 69 78 2e 74 6f 6c 69 73 74 10 01 00 00 73 1a 00 00 00 ...r|...z.matrix.tolist....s....
2720 80 00 f0 28 00 10 14 8f 7e 89 7e d3 0f 1f d7 0f 26 d1 0f 26 d3 0f 28 d0 08 28 72 26 00 00 00 63 ...(....~.~.....&..&..(..(r&...c
2740 04 00 00 00 00 00 00 00 00 00 00 00 07 00 00 00 03 00 00 00 f3 68 00 00 00 97 00 74 00 00 00 00 .....................h.....t....
2760 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 .....j...................j......
2780 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 7c 03 64 01 ac 02 ab 05 00 00 00 00 00 .............|.|.|.|.d..........
27a0 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 53 .j...................|.........S
27c0 00 29 03 61 0b 03 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 20 74 68 65 20 73 75 6d .).a.............Returns.the.sum
27e0 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 20 65 6c 65 6d 65 6e 74 73 2c 20 61 6c 6f 6e 67 20 74 .of.the.matrix.elements,.along.t
2800 68 65 20 67 69 76 65 6e 20 61 78 69 73 2e 0a 0a 20 20 20 20 20 20 20 20 52 65 66 65 72 20 74 6f he.given.axis...........Refer.to
2820 20 60 6e 75 6d 70 79 2e 73 75 6d 60 20 66 6f 72 20 66 75 6c 6c 20 64 6f 63 75 6d 65 6e 74 61 74 .`numpy.sum`.for.full.documentat
2840 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d ion...........See.Also.........-
2860 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6e 75 6d 70 79 2e 73 75 6d 0a 0a 20 20 20 20 20 -------.........numpy.sum.......
2880 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 54 ...Notes.........-----.........T
28a0 68 69 73 20 69 73 20 74 68 65 20 73 61 6d 65 20 61 73 20 60 6e 64 61 72 72 61 79 2e 73 75 6d 60 his.is.the.same.as.`ndarray.sum`
28c0 2c 20 65 78 63 65 70 74 20 74 68 61 74 20 77 68 65 72 65 20 61 6e 20 60 6e 64 61 72 72 61 79 60 ,.except.that.where.an.`ndarray`
28e0 20 77 6f 75 6c 64 0a 20 20 20 20 20 20 20 20 62 65 20 72 65 74 75 72 6e 65 64 2c 20 61 20 60 6d .would.........be.returned,.a.`m
2900 61 74 72 69 78 60 20 6f 62 6a 65 63 74 20 69 73 20 72 65 74 75 72 6e 65 64 20 69 6e 73 74 65 61 atrix`.object.is.returned.instea
2920 64 2e 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d d...........Examples.........---
2940 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 -----.........>>>.x.=.np.matrix(
2960 5b 5b 31 2c 20 32 5d 2c 20 5b 34 2c 20 33 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e [[1,.2],.[4,.3]]).........>>>.x.
2980 73 75 6d 28 29 0a 20 20 20 20 20 20 20 20 31 30 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 73 sum().........10.........>>>.x.s
29a0 75 6d 28 61 78 69 73 3d 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 33 5d 2c 0a um(axis=1).........matrix([[3],.
29c0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 37 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e ................[7]]).........>>
29e0 3e 20 78 2e 73 75 6d 28 61 78 69 73 3d 31 2c 20 64 74 79 70 65 3d 27 66 6c 6f 61 74 27 29 0a 20 >.x.sum(axis=1,.dtype='float')..
2a00 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 33 2e 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 .......matrix([[3.],............
2a20 20 20 20 20 20 5b 37 2e 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6f 75 74 20 3d 20 6e 70 .....[7.]]).........>>>.out.=.np
2a40 2e 7a 65 72 6f 73 28 28 32 2c 20 31 29 2c 20 64 74 79 70 65 3d 27 66 6c 6f 61 74 27 29 0a 20 20 .zeros((2,.1),.dtype='float')...
2a60 20 20 20 20 20 20 3e 3e 3e 20 78 2e 73 75 6d 28 61 78 69 73 3d 31 2c 20 64 74 79 70 65 3d 27 66 ......>>>.x.sum(axis=1,.dtype='f
2a80 6c 6f 61 74 27 2c 20 6f 75 74 3d 6e 70 2e 61 73 6d 61 74 72 69 78 28 6f 75 74 29 29 0a 20 20 20 loat',.out=np.asmatrix(out))....
2aa0 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 33 2e 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 .....matrix([[3.],..............
2ac0 20 20 20 5b 37 2e 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 54 a9 01 da 08 6b 65 65 70 64 69 6d 73 ...[7.]])..........T....keepdims
2ae0 29 04 72 3b 00 00 00 72 3c 00 00 00 da 03 73 75 6d 72 79 00 00 00 a9 04 72 54 00 00 00 72 76 00 ).r;...r<.....sumry.....rT...rv.
2b00 00 00 72 2a 00 00 00 72 5c 00 00 00 73 04 00 00 00 20 20 20 20 72 24 00 00 00 72 81 00 00 00 7a ..r*...r\...s........r$...r....z
2b20 0a 6d 61 74 72 69 78 2e 73 75 6d 27 01 00 00 73 2d 00 00 00 80 00 f4 40 01 00 10 11 8f 79 89 79 .matrix.sum'...s-......@.....y.y
2b40 8f 7d 89 7d 98 54 a0 34 a8 15 b0 03 b8 64 88 7d d3 0f 43 d7 0f 4d d1 0f 4d c8 64 d3 0f 53 d0 08 .}.}.T.4.....d.}..C..M..M.d..S..
2b60 53 72 26 00 00 00 63 02 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 03 00 00 00 f3 44 00 00 00 Sr&...c.....................D...
2b80 97 00 74 00 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ..t.........j...................
2ba0 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 ac 01 ab 02 00 00 00 00 j...................|.|.........
2bc0 00 00 53 00 29 02 61 44 05 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 61 20 70 6f 73 ..S.).aD............Return.a.pos
2be0 73 69 62 6c 79 20 72 65 73 68 61 70 65 64 20 6d 61 74 72 69 78 2e 0a 0a 20 20 20 20 20 20 20 20 sibly.reshaped.matrix...........
2c00 52 65 66 65 72 20 74 6f 20 60 6e 75 6d 70 79 2e 73 71 75 65 65 7a 65 60 20 66 6f 72 20 6d 6f 72 Refer.to.`numpy.squeeze`.for.mor
2c20 65 20 64 6f 63 75 6d 65 6e 74 61 74 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 50 61 72 61 6d 65 e.documentation...........Parame
2c40 74 65 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 ters.........----------.........
2c60 61 78 69 73 20 3a 20 4e 6f 6e 65 20 6f 72 20 69 6e 74 20 6f 72 20 74 75 70 6c 65 20 6f 66 20 69 axis.:.None.or.int.or.tuple.of.i
2c80 6e 74 73 2c 20 6f 70 74 69 6f 6e 61 6c 0a 20 20 20 20 20 20 20 20 20 20 20 20 53 65 6c 65 63 74 nts,.optional.............Select
2ca0 73 20 61 20 73 75 62 73 65 74 20 6f 66 20 74 68 65 20 61 78 65 73 20 6f 66 20 6c 65 6e 67 74 68 s.a.subset.of.the.axes.of.length
2cc0 20 6f 6e 65 20 69 6e 20 74 68 65 20 73 68 61 70 65 2e 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 .one.in.the.shape..............I
2ce0 66 20 61 6e 20 61 78 69 73 20 69 73 20 73 65 6c 65 63 74 65 64 20 77 69 74 68 20 73 68 61 70 65 f.an.axis.is.selected.with.shape
2d00 20 65 6e 74 72 79 20 67 72 65 61 74 65 72 20 74 68 61 6e 20 6f 6e 65 2c 0a 20 20 20 20 20 20 20 .entry.greater.than.one,........
2d20 20 20 20 20 20 61 6e 20 65 72 72 6f 72 20 69 73 20 72 61 69 73 65 64 2e 0a 0a 20 20 20 20 20 20 .....an.error.is.raised.........
2d40 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 ..Returns.........-------.......
2d60 20 20 73 71 75 65 65 7a 65 64 20 3a 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 20 20 20 20 20 20 ..squeezed.:.matrix.............
2d80 54 68 65 20 6d 61 74 72 69 78 2c 20 62 75 74 20 61 73 20 61 20 28 31 2c 20 4e 29 20 6d 61 74 72 The.matrix,.but.as.a.(1,.N).matr
2da0 69 78 20 69 66 20 69 74 20 68 61 64 20 73 68 61 70 65 20 28 4e 2c 20 31 29 2e 0a 0a 20 20 20 20 ix.if.it.had.shape.(N,.1).......
2dc0 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 ....See.Also.........--------...
2de0 20 20 20 20 20 20 6e 75 6d 70 79 2e 73 71 75 65 65 7a 65 20 3a 20 72 65 6c 61 74 65 64 20 66 75 ......numpy.squeeze.:.related.fu
2e00 6e 63 74 69 6f 6e 0a 0a 20 20 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d nction..........Notes.........--
2e20 2d 2d 2d 0a 20 20 20 20 20 20 20 20 49 66 20 60 6d 60 20 68 61 73 20 61 20 73 69 6e 67 6c 65 20 ---.........If.`m`.has.a.single.
2e40 63 6f 6c 75 6d 6e 20 74 68 65 6e 20 74 68 61 74 20 63 6f 6c 75 6d 6e 20 69 73 20 72 65 74 75 72 column.then.that.column.is.retur
2e60 6e 65 64 0a 20 20 20 20 20 20 20 20 61 73 20 74 68 65 20 73 69 6e 67 6c 65 20 72 6f 77 20 6f 66 ned.........as.the.single.row.of
2e80 20 61 20 6d 61 74 72 69 78 2e 20 20 4f 74 68 65 72 77 69 73 65 20 60 6d 60 20 69 73 20 72 65 74 .a.matrix...Otherwise.`m`.is.ret
2ea0 75 72 6e 65 64 2e 0a 20 20 20 20 20 20 20 20 54 68 65 20 72 65 74 75 72 6e 65 64 20 6d 61 74 72 urned..........The.returned.matr
2ec0 69 78 20 69 73 20 61 6c 77 61 79 73 20 65 69 74 68 65 72 20 60 6d 60 20 69 74 73 65 6c 66 20 6f ix.is.always.either.`m`.itself.o
2ee0 72 20 61 20 76 69 65 77 20 69 6e 74 6f 20 60 6d 60 2e 0a 20 20 20 20 20 20 20 20 53 75 70 70 6c r.a.view.into.`m`..........Suppl
2f00 79 69 6e 67 20 61 6e 20 61 78 69 73 20 6b 65 79 77 6f 72 64 20 61 72 67 75 6d 65 6e 74 20 77 69 ying.an.axis.keyword.argument.wi
2f20 6c 6c 20 6e 6f 74 20 61 66 66 65 63 74 20 74 68 65 20 72 65 74 75 72 6e 65 64 20 6d 61 74 72 69 ll.not.affect.the.returned.matri
2f40 78 0a 20 20 20 20 20 20 20 20 62 75 74 20 69 74 20 6d 61 79 20 63 61 75 73 65 20 61 6e 20 65 72 x.........but.it.may.cause.an.er
2f60 72 6f 72 20 74 6f 20 62 65 20 72 61 69 73 65 64 2e 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 ror.to.be.raised...........Examp
2f80 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e les.........--------.........>>>
2fa0 20 63 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 5b 5b 31 5d 2c 20 5b 32 5d 5d 29 0a 20 20 20 20 20 .c.=.np.matrix([[1],.[2]])......
2fc0 20 20 20 3e 3e 3e 20 63 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 31 5d 2c 0a 20 20 ...>>>.c.........matrix([[1],...
2fe0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 32 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 ..............[2]]).........>>>.
3000 63 2e 73 71 75 65 65 7a 65 28 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 31 2c 20 c.squeeze().........matrix([[1,.
3020 32 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 72 20 3d 20 63 2e 54 0a 20 20 20 20 20 20 20 2]]).........>>>.r.=.c.T........
3040 20 3e 3e 3e 20 72 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 31 2c 20 32 5d 5d 29 0a .>>>.r.........matrix([[1,.2]]).
3060 20 20 20 20 20 20 20 20 3e 3e 3e 20 72 2e 73 71 75 65 65 7a 65 28 29 0a 20 20 20 20 20 20 20 20 ........>>>.r.squeeze().........
3080 6d 61 74 72 69 78 28 5b 5b 31 2c 20 32 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6d 20 3d matrix([[1,.2]]).........>>>.m.=
30a0 20 6e 70 2e 6d 61 74 72 69 78 28 5b 5b 31 2c 20 32 5d 2c 20 5b 33 2c 20 34 5d 5d 29 0a 20 20 20 .np.matrix([[1,.2],.[3,.4]])....
30c0 20 20 20 20 20 3e 3e 3e 20 6d 2e 73 71 75 65 65 7a 65 28 29 0a 20 20 20 20 20 20 20 20 6d 61 74 .....>>>.m.squeeze().........mat
30e0 72 69 78 28 5b 5b 31 2c 20 32 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 33 2c rix([[1,.2],.................[3,
3100 20 34 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 a9 01 72 76 00 00 00 29 03 72 3b 00 00 00 72 3c 00 .4]])............rv...).r;...r<.
3120 00 00 da 07 73 71 75 65 65 7a 65 72 75 00 00 00 73 02 00 00 00 20 20 72 24 00 00 00 72 85 00 00 ....squeezeru...s......r$...r...
3140 00 7a 0e 6d 61 74 72 69 78 2e 73 71 75 65 65 7a 65 4a 01 00 00 73 1f 00 00 00 80 00 f4 62 01 00 .z.matrix.squeezeJ...s.......b..
3160 10 11 8f 79 89 79 d7 0f 20 d1 0f 20 a0 14 a8 44 d0 0f 20 d3 0f 31 d0 08 31 72 26 00 00 00 63 02 ...y.y.........D.....1..1r&...c.
3180 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 03 00 00 00 f3 44 00 00 00 97 00 74 00 00 00 00 00 ....................D.....t.....
31a0 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 00 ....j...................j.......
31c0 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 ac 01 ab 02 00 00 00 00 00 00 53 00 29 02 61 44 ............|.|...........S.).aD
31e0 04 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 61 20 66 6c 61 74 74 65 6e 65 64 20 63 ............Return.a.flattened.c
3200 6f 70 79 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 2e 0a 0a 20 20 20 20 20 20 20 20 41 6c 6c 20 opy.of.the.matrix...........All.
3220 60 4e 60 20 65 6c 65 6d 65 6e 74 73 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 20 61 72 65 20 70 `N`.elements.of.the.matrix.are.p
3240 6c 61 63 65 64 20 69 6e 74 6f 20 61 20 73 69 6e 67 6c 65 20 72 6f 77 2e 0a 0a 20 20 20 20 20 20 laced.into.a.single.row.........
3260 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a ..Parameters.........----------.
3280 20 20 20 20 20 20 20 20 6f 72 64 65 72 20 3a 20 7b 27 43 27 2c 20 27 46 27 2c 20 27 41 27 2c 20 ........order.:.{'C',.'F',.'A',.
32a0 27 4b 27 7d 2c 20 6f 70 74 69 6f 6e 61 6c 0a 20 20 20 20 20 20 20 20 20 20 20 20 27 43 27 20 6d 'K'},.optional.............'C'.m
32c0 65 61 6e 73 20 74 6f 20 66 6c 61 74 74 65 6e 20 69 6e 20 72 6f 77 2d 6d 61 6a 6f 72 20 28 43 2d eans.to.flatten.in.row-major.(C-
32e0 73 74 79 6c 65 29 20 6f 72 64 65 72 2e 20 27 46 27 20 6d 65 61 6e 73 20 74 6f 0a 20 20 20 20 20 style).order..'F'.means.to......
3300 20 20 20 20 20 20 20 66 6c 61 74 74 65 6e 20 69 6e 20 63 6f 6c 75 6d 6e 2d 6d 61 6a 6f 72 20 28 .......flatten.in.column-major.(
3320 46 6f 72 74 72 61 6e 2d 73 74 79 6c 65 29 20 6f 72 64 65 72 2e 20 27 41 27 20 6d 65 61 6e 73 20 Fortran-style).order..'A'.means.
3340 74 6f 0a 20 20 20 20 20 20 20 20 20 20 20 20 66 6c 61 74 74 65 6e 20 69 6e 20 63 6f 6c 75 6d 6e to.............flatten.in.column
3360 2d 6d 61 6a 6f 72 20 6f 72 64 65 72 20 69 66 20 60 6d 60 20 69 73 20 46 6f 72 74 72 61 6e 20 2a -major.order.if.`m`.is.Fortran.*
3380 63 6f 6e 74 69 67 75 6f 75 73 2a 20 69 6e 0a 20 20 20 20 20 20 20 20 20 20 20 20 6d 65 6d 6f 72 contiguous*.in.............memor
33a0 79 2c 20 72 6f 77 2d 6d 61 6a 6f 72 20 6f 72 64 65 72 20 6f 74 68 65 72 77 69 73 65 2e 20 27 4b y,.row-major.order.otherwise..'K
33c0 27 20 6d 65 61 6e 73 20 74 6f 20 66 6c 61 74 74 65 6e 20 60 6d 60 20 69 6e 0a 20 20 20 20 20 20 '.means.to.flatten.`m`.in.......
33e0 20 20 20 20 20 20 74 68 65 20 6f 72 64 65 72 20 74 68 65 20 65 6c 65 6d 65 6e 74 73 20 6f 63 63 ......the.order.the.elements.occ
3400 75 72 20 69 6e 20 6d 65 6d 6f 72 79 2e 20 54 68 65 20 64 65 66 61 75 6c 74 20 69 73 20 27 43 27 ur.in.memory..The.default.is.'C'
3420 2e 0a 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d ...........Returns.........-----
3440 2d 2d 0a 20 20 20 20 20 20 20 20 79 20 3a 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 20 20 20 20 --.........y.:.matrix...........
3460 20 20 41 20 63 6f 70 79 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 2c 20 66 6c 61 74 74 65 6e 65 ..A.copy.of.the.matrix,.flattene
3480 64 20 74 6f 20 61 20 60 28 31 2c 20 4e 29 60 20 6d 61 74 72 69 78 20 77 68 65 72 65 20 60 4e 60 d.to.a.`(1,.N)`.matrix.where.`N`
34a0 0a 20 20 20 20 20 20 20 20 20 20 20 20 69 73 20 74 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 65 6c .............is.the.number.of.el
34c0 65 6d 65 6e 74 73 20 69 6e 20 74 68 65 20 6f 72 69 67 69 6e 61 6c 20 6d 61 74 72 69 78 2e 0a 0a ements.in.the.original.matrix...
34e0 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d ........See.Also.........-------
3500 2d 0a 20 20 20 20 20 20 20 20 72 61 76 65 6c 20 3a 20 52 65 74 75 72 6e 20 61 20 66 6c 61 74 74 -.........ravel.:.Return.a.flatt
3520 65 6e 65 64 20 61 72 72 61 79 2e 0a 20 20 20 20 20 20 20 20 66 6c 61 74 20 3a 20 41 20 31 2d 44 ened.array..........flat.:.A.1-D
3540 20 66 6c 61 74 20 69 74 65 72 61 74 6f 72 20 6f 76 65 72 20 74 68 65 20 6d 61 74 72 69 78 2e 0a .flat.iterator.over.the.matrix..
3560 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d .........Examples.........------
3580 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6d 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 5b 5b 31 --.........>>>.m.=.np.matrix([[1
35a0 2c 32 5d 2c 20 5b 33 2c 34 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6d 2e 66 6c 61 74 74 ,2],.[3,4]]).........>>>.m.flatt
35c0 65 6e 28 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 31 2c 20 32 2c 20 33 2c 20 34 en().........matrix([[1,.2,.3,.4
35e0 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6d 2e 66 6c 61 74 74 65 6e 28 27 46 27 29 0a 20 ]]).........>>>.m.flatten('F')..
3600 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 31 2c 20 33 2c 20 32 2c 20 34 5d 5d 29 0a 0a 20 .......matrix([[1,.3,.2,.4]])...
3620 20 20 20 20 20 20 20 a9 01 72 35 00 00 00 29 03 72 3b 00 00 00 72 3c 00 00 00 da 07 66 6c 61 74 .........r5...).r;...r<.....flat
3640 74 65 6e a9 02 72 54 00 00 00 72 35 00 00 00 73 02 00 00 00 20 20 72 24 00 00 00 72 88 00 00 00 ten..rT...r5...s......r$...r....
3660 7a 0e 6d 61 74 72 69 78 2e 66 6c 61 74 74 65 6e 7e 01 00 00 73 1f 00 00 00 80 00 f4 46 01 00 10 z.matrix.flatten~...s.......F...
3680 11 8f 79 89 79 d7 0f 20 d1 0f 20 a0 14 a8 55 d0 0f 20 d3 0f 33 d0 08 33 72 26 00 00 00 63 04 00 ..y.y.........U.....3..3r&...c..
36a0 00 00 00 00 00 00 00 00 00 00 07 00 00 00 03 00 00 00 f3 68 00 00 00 97 00 74 00 00 00 00 00 00 ...................h.....t......
36c0 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 00 00 ...j...................j........
36e0 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 7c 03 64 01 ac 02 ab 05 00 00 00 00 00 00 6a ...........|.|.|.|.d...........j
3700 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 53 00 29 ...................|.........S.)
3720 03 61 dc 02 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 20 74 68 65 20 61 76 65 72 61 .a.............Returns.the.avera
3740 67 65 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 20 65 6c 65 6d 65 6e 74 73 20 61 6c 6f 6e 67 20 ge.of.the.matrix.elements.along.
3760 74 68 65 20 67 69 76 65 6e 20 61 78 69 73 2e 0a 0a 20 20 20 20 20 20 20 20 52 65 66 65 72 20 74 the.given.axis...........Refer.t
3780 6f 20 60 6e 75 6d 70 79 2e 6d 65 61 6e 60 20 66 6f 72 20 66 75 6c 6c 20 64 6f 63 75 6d 65 6e 74 o.`numpy.mean`.for.full.document
37a0 61 74 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 ation...........See.Also........
37c0 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6e 75 6d 70 79 2e 6d 65 61 6e 0a 0a 20 20 .--------.........numpy.mean....
37e0 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 ......Notes.........-----.......
3800 20 20 53 61 6d 65 20 61 73 20 60 6e 64 61 72 72 61 79 2e 6d 65 61 6e 60 20 65 78 63 65 70 74 20 ..Same.as.`ndarray.mean`.except.
3820 74 68 61 74 2c 20 77 68 65 72 65 20 74 68 61 74 20 72 65 74 75 72 6e 73 20 61 6e 20 60 6e 64 61 that,.where.that.returns.an.`nda
3840 72 72 61 79 60 2c 0a 20 20 20 20 20 20 20 20 74 68 69 73 20 72 65 74 75 72 6e 73 20 61 20 60 6d rray`,.........this.returns.a.`m
3860 61 74 72 69 78 60 20 6f 62 6a 65 63 74 2e 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 atrix`.object...........Examples
3880 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 .........--------.........>>>.x.
38a0 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 65 73 68 61 70 =.np.matrix(np.arange(12).reshap
38c0 65 28 28 33 2c 20 34 29 29 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 0a 20 20 20 20 20 20 20 e((3,.4))).........>>>.x........
38e0 20 6d 61 74 72 69 78 28 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 20 .matrix([[.0,..1,..2,..3],......
3900 20 20 20 20 20 20 20 20 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 20 ...........[.4,..5,..6,..7],....
3920 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a .............[.8,..9,.10,.11]]).
3940 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 6d 65 61 6e 28 29 0a 20 20 20 20 20 20 20 20 35 2e 35 ........>>>.x.mean().........5.5
3960 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 6d 65 61 6e 28 30 29 0a 20 20 20 20 20 20 20 20 6d .........>>>.x.mean(0).........m
3980 61 74 72 69 78 28 5b 5b 34 2e 2c 20 35 2e 2c 20 36 2e 2c 20 37 2e 5d 5d 29 0a 20 20 20 20 20 20 atrix([[4.,.5.,.6.,.7.]]).......
39a0 20 20 3e 3e 3e 20 78 2e 6d 65 61 6e 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b ..>>>.x.mean(1).........matrix([
39c0 5b 20 31 2e 35 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 35 2e 35 5d 2c 0a [.1.5],.................[.5.5],.
39e0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 39 2e 35 5d 5d 29 0a 0a 20 20 20 20 20 20 ................[.9.5]])........
3a00 20 20 54 72 7f 00 00 00 29 04 72 3b 00 00 00 72 3c 00 00 00 da 04 6d 65 61 6e 72 79 00 00 00 72 ..Tr....).r;...r<.....meanry...r
3a20 82 00 00 00 73 04 00 00 00 20 20 20 20 72 24 00 00 00 72 8b 00 00 00 7a 0b 6d 61 74 72 69 78 2e ....s........r$...r....z.matrix.
3a40 6d 65 61 6e a3 01 00 00 73 2d 00 00 00 80 00 f4 40 01 00 10 11 8f 79 89 79 8f 7e 89 7e 98 64 a0 mean....s-......@.....y.y.~.~.d.
3a60 44 a8 25 b0 13 b8 74 88 7e d3 0f 44 d7 0f 4e d1 0f 4e c8 74 d3 0f 54 d0 08 54 72 26 00 00 00 63 D.%...t.~..D..N..N.t..T..Tr&...c
3a80 05 00 00 00 00 00 00 00 00 00 00 00 08 00 00 00 03 00 00 00 f3 6a 00 00 00 97 00 74 00 00 00 00 .....................j.....t....
3aa0 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 .....j...................j......
3ac0 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 7c 03 7c 04 64 01 ac 02 ab 06 00 00 00 .............|.|.|.|.|.d........
3ae0 00 00 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 ...j...................|........
3b00 00 53 00 29 03 61 55 03 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 74 68 65 20 73 74 .S.).aU............Return.the.st
3b20 61 6e 64 61 72 64 20 64 65 76 69 61 74 69 6f 6e 20 6f 66 20 74 68 65 20 61 72 72 61 79 20 65 6c andard.deviation.of.the.array.el
3b40 65 6d 65 6e 74 73 20 61 6c 6f 6e 67 20 74 68 65 20 67 69 76 65 6e 20 61 78 69 73 2e 0a 0a 20 20 ements.along.the.given.axis.....
3b60 20 20 20 20 20 20 52 65 66 65 72 20 74 6f 20 60 6e 75 6d 70 79 2e 73 74 64 60 20 66 6f 72 20 66 ......Refer.to.`numpy.std`.for.f
3b80 75 6c 6c 20 64 6f 63 75 6d 65 6e 74 61 74 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 ull.documentation...........See.
3ba0 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6e 75 Also.........--------.........nu
3bc0 6d 70 79 2e 73 74 64 0a 0a 20 20 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d mpy.std..........Notes.........-
3be0 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 54 68 69 73 20 69 73 20 74 68 65 20 73 61 6d 65 20 61 73 ----.........This.is.the.same.as
3c00 20 60 6e 64 61 72 72 61 79 2e 73 74 64 60 2c 20 65 78 63 65 70 74 20 74 68 61 74 20 77 68 65 72 .`ndarray.std`,.except.that.wher
3c20 65 20 61 6e 20 60 6e 64 61 72 72 61 79 60 20 77 6f 75 6c 64 0a 20 20 20 20 20 20 20 20 62 65 20 e.an.`ndarray`.would.........be.
3c40 72 65 74 75 72 6e 65 64 2c 20 61 20 60 6d 61 74 72 69 78 60 20 6f 62 6a 65 63 74 20 69 73 20 72 returned,.a.`matrix`.object.is.r
3c60 65 74 75 72 6e 65 64 20 69 6e 73 74 65 61 64 2e 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c eturned.instead...........Exampl
3c80 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 es.........--------.........>>>.
3ca0 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 65 73 68 x.=.np.matrix(np.arange(12).resh
3cc0 61 70 65 28 28 33 2c 20 34 29 29 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 0a 20 20 20 20 20 ape((3,.4))).........>>>.x......
3ce0 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 ...matrix([[.0,..1,..2,..3],....
3d00 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 .............[.4,..5,..6,..7],..
3d20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d ...............[.8,..9,.10,.11]]
3d40 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 73 74 64 28 29 0a 20 20 20 20 20 20 20 20 33 2e ).........>>>.x.std().........3.
3d60 34 35 32 30 35 32 35 32 39 35 33 34 36 36 32 39 20 23 20 6d 61 79 20 76 61 72 79 0a 20 20 20 20 4520525295346629.#.may.vary.....
3d80 20 20 20 20 3e 3e 3e 20 78 2e 73 74 64 28 30 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 ....>>>.x.std(0).........matrix(
3da0 5b 5b 20 33 2e 32 36 35 39 38 36 33 32 2c 20 20 33 2e 32 36 35 39 38 36 33 32 2c 20 20 33 2e 32 [[.3.26598632,..3.26598632,..3.2
3dc0 36 35 39 38 36 33 32 2c 20 20 33 2e 32 36 35 39 38 36 33 32 5d 5d 29 20 23 20 6d 61 79 20 76 61 6598632,..3.26598632]]).#.may.va
3de0 72 79 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 73 74 64 28 31 29 0a 20 20 20 20 20 20 20 20 ry.........>>>.x.std(1).........
3e00 6d 61 74 72 69 78 28 5b 5b 20 31 2e 31 31 38 30 33 33 39 39 5d 2c 0a 20 20 20 20 20 20 20 20 20 matrix([[.1.11803399],..........
3e20 20 20 20 20 20 20 20 5b 20 31 2e 31 31 38 30 33 33 39 39 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 .......[.1.11803399],...........
3e40 20 20 20 20 20 20 5b 20 31 2e 31 31 38 30 33 33 39 39 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 54 ......[.1.11803399]])..........T
3e60 72 7f 00 00 00 29 04 72 3b 00 00 00 72 3c 00 00 00 da 03 73 74 64 72 79 00 00 00 a9 05 72 54 00 r....).r;...r<.....stdry.....rT.
3e80 00 00 72 76 00 00 00 72 2a 00 00 00 72 5c 00 00 00 da 04 64 64 6f 66 73 05 00 00 00 20 20 20 20 ..rv...r*...r\.....ddofs........
3ea0 20 72 24 00 00 00 72 8d 00 00 00 7a 0a 6d 61 74 72 69 78 2e 73 74 64 c5 01 00 00 f3 35 00 00 00 .r$...r....z.matrix.std.....5...
3ec0 80 00 f4 40 01 00 10 11 8f 79 89 79 8f 7d 89 7d 98 54 a0 34 a8 15 b0 03 b0 54 d8 26 2a f0 03 00 ...@.....y.y.}.}.T.4.....T.&*...
3ee0 10 1d f3 00 01 10 2c df 2c 35 a9 49 b0 64 ab 4f f0 03 01 09 3c 72 26 00 00 00 63 05 00 00 00 00 ......,.,5.I.d.O....<r&...c.....
3f00 00 00 00 00 00 00 00 08 00 00 00 03 00 00 00 f3 6a 00 00 00 97 00 74 00 00 00 00 00 00 00 00 00 ................j.....t.........
3f20 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 00 00 00 00 00 j...................j...........
3f40 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 7c 03 7c 04 64 01 ac 02 ab 06 00 00 00 00 00 00 6a 07 ........|.|.|.|.|.d...........j.
3f60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 53 00 29 03 ..................|.........S.).
3f80 61 32 03 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 20 74 68 65 20 76 61 72 69 61 6e a2............Returns.the.varian
3fa0 63 65 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 20 65 6c 65 6d 65 6e 74 73 2c 20 61 6c 6f 6e 67 ce.of.the.matrix.elements,.along
3fc0 20 74 68 65 20 67 69 76 65 6e 20 61 78 69 73 2e 0a 0a 20 20 20 20 20 20 20 20 52 65 66 65 72 20 .the.given.axis...........Refer.
3fe0 74 6f 20 60 6e 75 6d 70 79 2e 76 61 72 60 20 66 6f 72 20 66 75 6c 6c 20 64 6f 63 75 6d 65 6e 74 to.`numpy.var`.for.full.document
4000 61 74 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 ation...........See.Also........
4020 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6e 75 6d 70 79 2e 76 61 72 0a 0a 20 20 20 .--------.........numpy.var.....
4040 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 .....Notes.........-----........
4060 20 54 68 69 73 20 69 73 20 74 68 65 20 73 61 6d 65 20 61 73 20 60 6e 64 61 72 72 61 79 2e 76 61 .This.is.the.same.as.`ndarray.va
4080 72 60 2c 20 65 78 63 65 70 74 20 74 68 61 74 20 77 68 65 72 65 20 61 6e 20 60 6e 64 61 72 72 61 r`,.except.that.where.an.`ndarra
40a0 79 60 20 77 6f 75 6c 64 0a 20 20 20 20 20 20 20 20 62 65 20 72 65 74 75 72 6e 65 64 2c 20 61 20 y`.would.........be.returned,.a.
40c0 60 6d 61 74 72 69 78 60 20 6f 62 6a 65 63 74 20 69 73 20 72 65 74 75 72 6e 65 64 20 69 6e 73 74 `matrix`.object.is.returned.inst
40e0 65 61 64 2e 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d ead...........Examples.........-
4100 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 -------.........>>>.x.=.np.matri
4120 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 65 73 68 61 70 65 28 28 33 2c 20 34 29 29 29 x(np.arange(12).reshape((3,.4)))
4140 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b .........>>>.x.........matrix([[
4160 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 .0,..1,..2,..3],................
4180 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 .[.4,..5,..6,..7],..............
41a0 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e ...[.8,..9,.10,.11]]).........>>
41c0 3e 20 78 2e 76 61 72 28 29 0a 20 20 20 20 20 20 20 20 31 31 2e 39 31 36 36 36 36 36 36 36 36 36 >.x.var().........11.91666666666
41e0 36 36 36 36 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 76 61 72 28 30 29 0a 20 20 20 20 20 20 6666.........>>>.x.var(0).......
4200 20 20 6d 61 74 72 69 78 28 5b 5b 20 31 30 2e 36 36 36 36 36 36 36 37 2c 20 20 31 30 2e 36 36 36 ..matrix([[.10.66666667,..10.666
4220 36 36 36 36 37 2c 20 20 31 30 2e 36 36 36 36 36 36 36 37 2c 20 20 31 30 2e 36 36 36 36 36 36 36 66667,..10.66666667,..10.6666666
4240 37 5d 5d 29 20 23 20 6d 61 79 20 76 61 72 79 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 76 61 7]]).#.may.vary.........>>>.x.va
4260 72 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 31 2e 32 35 5d 2c 0a 20 20 20 r(1).........matrix([[1.25],....
4280 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 31 2e 32 35 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 .............[1.25],............
42a0 20 20 20 20 20 5b 31 2e 32 35 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 54 72 7f 00 00 00 29 04 72 .....[1.25]])..........Tr....).r
42c0 3b 00 00 00 72 3c 00 00 00 da 03 76 61 72 72 79 00 00 00 72 8e 00 00 00 73 05 00 00 00 20 20 20 ;...r<.....varry...r....s.......
42e0 20 20 72 24 00 00 00 72 92 00 00 00 7a 0a 6d 61 74 72 69 78 2e 76 61 72 e8 01 00 00 72 90 00 00 ..r$...r....z.matrix.var....r...
4300 00 72 26 00 00 00 63 04 00 00 00 00 00 00 00 00 00 00 00 07 00 00 00 03 00 00 00 f3 68 00 00 00 .r&...c.....................h...
4320 97 00 74 00 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ..t.........j...................
4340 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 7c 03 64 01 ac 02 j...................|.|.|.|.d...
4360 ab 05 00 00 00 00 00 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 ........j...................|...
4380 00 00 00 00 00 00 53 00 29 03 61 d5 02 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 74 ......S.).a.............Return.t
43a0 68 65 20 70 72 6f 64 75 63 74 20 6f 66 20 74 68 65 20 61 72 72 61 79 20 65 6c 65 6d 65 6e 74 73 he.product.of.the.array.elements
43c0 20 6f 76 65 72 20 74 68 65 20 67 69 76 65 6e 20 61 78 69 73 2e 0a 0a 20 20 20 20 20 20 20 20 52 .over.the.given.axis...........R
43e0 65 66 65 72 20 74 6f 20 60 70 72 6f 64 60 20 66 6f 72 20 66 75 6c 6c 20 64 6f 63 75 6d 65 6e 74 efer.to.`prod`.for.full.document
4400 61 74 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 ation...........See.Also........
4420 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 70 72 6f 64 2c 20 6e 64 61 72 72 61 79 2e .--------.........prod,.ndarray.
4440 70 72 6f 64 0a 0a 20 20 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d prod..........Notes.........----
4460 2d 0a 20 20 20 20 20 20 20 20 53 61 6d 65 20 61 73 20 60 6e 64 61 72 72 61 79 2e 70 72 6f 64 60 -.........Same.as.`ndarray.prod`
4480 2c 20 65 78 63 65 70 74 2c 20 77 68 65 72 65 20 74 68 61 74 20 72 65 74 75 72 6e 73 20 61 6e 20 ,.except,.where.that.returns.an.
44a0 60 6e 64 61 72 72 61 79 60 2c 20 74 68 69 73 0a 20 20 20 20 20 20 20 20 72 65 74 75 72 6e 73 20 `ndarray`,.this.........returns.
44c0 61 20 60 6d 61 74 72 69 78 60 20 6f 62 6a 65 63 74 20 69 6e 73 74 65 61 64 2e 0a 0a 20 20 20 20 a.`matrix`.object.instead.......
44e0 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 ....Examples.........--------...
4500 20 20 20 20 20 20 3e 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 ......>>>.x.=.np.matrix(np.arang
4520 65 28 31 32 29 2e 72 65 73 68 61 70 65 28 28 33 2c 34 29 29 29 3b 20 78 0a 20 20 20 20 20 20 20 e(12).reshape((3,4)));.x........
4540 20 6d 61 74 72 69 78 28 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 20 .matrix([[.0,..1,..2,..3],......
4560 20 20 20 20 20 20 20 20 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 20 ...........[.4,..5,..6,..7],....
4580 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a .............[.8,..9,.10,.11]]).
45a0 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 70 72 6f 64 28 29 0a 20 20 20 20 20 20 20 20 30 0a 20 ........>>>.x.prod().........0..
45c0 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 70 72 6f 64 28 30 29 0a 20 20 20 20 20 20 20 20 6d 61 74 .......>>>.x.prod(0).........mat
45e0 72 69 78 28 5b 5b 20 20 30 2c 20 20 34 35 2c 20 31 32 30 2c 20 32 33 31 5d 5d 29 0a 20 20 20 20 rix([[..0,..45,.120,.231]]).....
4600 20 20 20 20 3e 3e 3e 20 78 2e 70 72 6f 64 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 ....>>>.x.prod(1).........matrix
4620 28 5b 5b 20 20 20 30 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 38 34 30 5d ([[...0],.................[.840]
4640 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 37 39 32 30 5d 5d 29 0a 0a 20 20 20 20 ,.................[7920]])......
4660 20 20 20 20 54 72 7f 00 00 00 29 04 72 3b 00 00 00 72 3c 00 00 00 da 04 70 72 6f 64 72 79 00 00 ....Tr....).r;...r<.....prodry..
4680 00 72 82 00 00 00 73 04 00 00 00 20 20 20 20 72 24 00 00 00 72 94 00 00 00 7a 0b 6d 61 74 72 69 .r....s........r$...r....z.matri
46a0 78 2e 70 72 6f 64 0b 02 00 00 73 2c 00 00 00 80 00 f4 3e 00 10 11 8f 79 89 79 8f 7e 89 7e 98 64 x.prod....s,......>....y.y.~.~.d
46c0 a0 44 a8 25 b0 13 b8 74 88 7e d3 0f 44 d7 0f 4e d1 0f 4e c8 74 d3 0f 54 d0 08 54 72 26 00 00 00 .D.%...t.~..D..N..N.t..T..Tr&...
46e0 63 03 00 00 00 00 00 00 00 00 00 00 00 06 00 00 00 03 00 00 00 f3 66 00 00 00 97 00 74 00 00 00 c.....................f.....t...
4700 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 ......j...................j.....
4720 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 64 01 ac 02 ab 04 00 00 00 00 00 00 ..............|.|.|.d...........
4740 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 53 00 j...................|.........S.
4760 29 03 61 47 02 00 00 0a 20 20 20 20 20 20 20 20 54 65 73 74 20 77 68 65 74 68 65 72 20 61 6e 79 ).aG............Test.whether.any
4780 20 61 72 72 61 79 20 65 6c 65 6d 65 6e 74 20 61 6c 6f 6e 67 20 61 20 67 69 76 65 6e 20 61 78 69 .array.element.along.a.given.axi
47a0 73 20 65 76 61 6c 75 61 74 65 73 20 74 6f 20 54 72 75 65 2e 0a 0a 20 20 20 20 20 20 20 20 52 65 s.evaluates.to.True...........Re
47c0 66 65 72 20 74 6f 20 60 6e 75 6d 70 79 2e 61 6e 79 60 20 66 6f 72 20 66 75 6c 6c 20 64 6f 63 75 fer.to.`numpy.any`.for.full.docu
47e0 6d 65 6e 74 61 74 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 mentation...........Parameters..
4800 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 61 78 69 73 20 3a .......----------.........axis.:
4820 20 69 6e 74 2c 20 6f 70 74 69 6f 6e 61 6c 0a 20 20 20 20 20 20 20 20 20 20 20 20 41 78 69 73 20 .int,.optional.............Axis.
4840 61 6c 6f 6e 67 20 77 68 69 63 68 20 6c 6f 67 69 63 61 6c 20 4f 52 20 69 73 20 70 65 72 66 6f 72 along.which.logical.OR.is.perfor
4860 6d 65 64 0a 20 20 20 20 20 20 20 20 6f 75 74 20 3a 20 6e 64 61 72 72 61 79 2c 20 6f 70 74 69 6f med.........out.:.ndarray,.optio
4880 6e 61 6c 0a 20 20 20 20 20 20 20 20 20 20 20 20 4f 75 74 70 75 74 20 74 6f 20 65 78 69 73 74 69 nal.............Output.to.existi
48a0 6e 67 20 61 72 72 61 79 20 69 6e 73 74 65 61 64 20 6f 66 20 63 72 65 61 74 69 6e 67 20 6e 65 77 ng.array.instead.of.creating.new
48c0 20 6f 6e 65 2c 20 6d 75 73 74 20 68 61 76 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 73 61 6d 65 .one,.must.have.............same
48e0 20 73 68 61 70 65 20 61 73 20 65 78 70 65 63 74 65 64 20 6f 75 74 70 75 74 0a 0a 20 20 20 20 20 .shape.as.expected.output.......
4900 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 ...Returns.........-------......
4920 20 20 20 20 20 20 20 61 6e 79 20 3a 20 62 6f 6f 6c 2c 20 6e 64 61 72 72 61 79 0a 20 20 20 20 20 .......any.:.bool,.ndarray......
4940 20 20 20 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 20 61 20 73 69 6e 67 6c 65 20 62 6f 6f 6c ...........Returns.a.single.bool
4960 20 69 66 20 60 61 78 69 73 60 20 69 73 20 60 60 4e 6f 6e 65 60 60 3b 20 6f 74 68 65 72 77 69 73 .if.`axis`.is.``None``;.otherwis
4980 65 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 72 65 74 75 72 6e 73 20 60 6e 64 61 72 e,.................returns.`ndar
49a0 72 61 79 60 0a 0a 20 20 20 20 20 20 20 20 54 72 7f 00 00 00 29 04 72 3b 00 00 00 72 3c 00 00 00 ray`..........Tr....).r;...r<...
49c0 da 03 61 6e 79 72 79 00 00 00 a9 03 72 54 00 00 00 72 76 00 00 00 72 5c 00 00 00 73 03 00 00 00 ..anyry.....rT...rv...r\...s....
49e0 20 20 20 72 24 00 00 00 72 96 00 00 00 7a 0a 6d 61 74 72 69 78 2e 61 6e 79 2c 02 00 00 73 2a 00 ...r$...r....z.matrix.any,...s*.
4a00 00 00 80 00 f4 2a 00 10 11 8f 79 89 79 8f 7d 89 7d 98 54 a0 34 a8 13 b0 74 88 7d d3 0f 3c d7 0f .....*....y.y.}.}.T.4...t.}..<..
4a20 46 d1 0f 46 c0 74 d3 0f 4c d0 08 4c 72 26 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 06 00 F..F.t..L..Lr&...c..............
4a40 00 00 03 00 00 00 f3 66 00 00 00 97 00 74 00 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 .......f.....t.........j........
4a60 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c ...........j...................|
4a80 00 7c 01 7c 02 64 01 ac 02 ab 04 00 00 00 00 00 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 .|.|.d...........j..............
4aa0 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 53 00 29 03 61 c8 03 00 00 0a 20 20 20 20 20 20 20 .....|.........S.).a............
4ac0 20 54 65 73 74 20 77 68 65 74 68 65 72 20 61 6c 6c 20 6d 61 74 72 69 78 20 65 6c 65 6d 65 6e 74 .Test.whether.all.matrix.element
4ae0 73 20 61 6c 6f 6e 67 20 61 20 67 69 76 65 6e 20 61 78 69 73 20 65 76 61 6c 75 61 74 65 20 74 6f s.along.a.given.axis.evaluate.to
4b00 20 54 72 75 65 2e 0a 0a 20 20 20 20 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 20 .True...........Parameters......
4b20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 53 65 65 20 60 6e 75 6d 70 79 ...----------.........See.`numpy
4b40 2e 61 6c 6c 60 20 66 6f 72 20 63 6f 6d 70 6c 65 74 65 20 64 65 73 63 72 69 70 74 69 6f 6e 73 0a .all`.for.complete.descriptions.
4b60 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d .........See.Also.........------
4b80 2d 2d 0a 20 20 20 20 20 20 20 20 6e 75 6d 70 79 2e 61 6c 6c 0a 0a 20 20 20 20 20 20 20 20 4e 6f --.........numpy.all..........No
4ba0 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 54 68 69 73 20 69 tes.........-----.........This.i
4bc0 73 20 74 68 65 20 73 61 6d 65 20 61 73 20 60 6e 64 61 72 72 61 79 2e 61 6c 6c 60 2c 20 62 75 74 s.the.same.as.`ndarray.all`,.but
4be0 20 69 74 20 72 65 74 75 72 6e 73 20 61 20 60 6d 61 74 72 69 78 60 20 6f 62 6a 65 63 74 2e 0a 0a .it.returns.a.`matrix`.object...
4c00 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d ........Examples.........-------
4c20 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 -.........>>>.x.=.np.matrix(np.a
4c40 72 61 6e 67 65 28 31 32 29 2e 72 65 73 68 61 70 65 28 28 33 2c 34 29 29 29 3b 20 78 0a 20 20 20 range(12).reshape((3,4)));.x....
4c60 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 .....matrix([[.0,..1,..2,..3],..
4c80 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c ...............[.4,..5,..6,..7],
4ca0 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 .................[.8,..9,.10,.11
4cc0 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 79 20 3d 20 78 5b 30 5d 3b 20 79 0a 20 20 20 20 ]]).........>>>.y.=.x[0];.y.....
4ce0 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 30 2c 20 31 2c 20 32 2c 20 33 5d 5d 29 0a 20 20 20 20 20 ....matrix([[0,.1,.2,.3]])......
4d00 20 20 20 3e 3e 3e 20 28 78 20 3d 3d 20 79 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b ...>>>.(x.==.y).........matrix([
4d20 5b 20 54 72 75 65 2c 20 20 54 72 75 65 2c 20 20 54 72 75 65 2c 20 20 54 72 75 65 5d 2c 0a 20 20 [.True,..True,..True,..True],...
4d40 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 46 61 6c 73 65 2c 20 46 61 6c 73 65 2c 20 46 61 6c ..............[False,.False,.Fal
4d60 73 65 2c 20 46 61 6c 73 65 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 46 61 6c se,.False],.................[Fal
4d80 73 65 2c 20 46 61 6c 73 65 2c 20 46 61 6c 73 65 2c 20 46 61 6c 73 65 5d 5d 29 0a 20 20 20 20 20 se,.False,.False,.False]])......
4da0 20 20 20 3e 3e 3e 20 28 78 20 3d 3d 20 79 29 2e 61 6c 6c 28 29 0a 20 20 20 20 20 20 20 20 46 61 ...>>>.(x.==.y).all().........Fa
4dc0 6c 73 65 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 28 78 20 3d 3d 20 79 29 2e 61 6c 6c 28 30 29 0a lse.........>>>.(x.==.y).all(0).
4de0 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 46 61 6c 73 65 2c 20 46 61 6c 73 65 2c 20 46 ........matrix([[False,.False,.F
4e00 61 6c 73 65 2c 20 46 61 6c 73 65 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 28 78 20 3d 3d alse,.False]]).........>>>.(x.==
4e20 20 79 29 2e 61 6c 6c 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 54 72 75 .y).all(1).........matrix([[.Tru
4e40 65 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 46 61 6c 73 65 5d 2c 0a 20 20 20 e],.................[False],....
4e60 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 46 61 6c 73 65 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 .............[False]])..........
4e80 54 72 7f 00 00 00 29 04 72 3b 00 00 00 72 3c 00 00 00 da 03 61 6c 6c 72 79 00 00 00 72 97 00 00 Tr....).r;...r<.....allry...r...
4ea0 00 73 03 00 00 00 20 20 20 72 24 00 00 00 72 99 00 00 00 7a 0a 6d 61 74 72 69 78 2e 61 6c 6c 43 .s.......r$...r....z.matrix.allC
4ec0 02 00 00 73 2b 00 00 00 80 00 f4 4c 01 00 10 11 8f 79 89 79 8f 7d 89 7d 98 54 a0 34 a8 13 b0 74 ...s+......L.....y.y.}.}.T.4...t
4ee0 88 7d d3 0f 3c d7 0f 46 d1 0f 46 c0 74 d3 0f 4c d0 08 4c 72 26 00 00 00 63 03 00 00 00 00 00 00 .}..<..F..F.t..L..Lr&...c.......
4f00 00 00 00 00 00 06 00 00 00 03 00 00 00 f3 66 00 00 00 97 00 74 00 00 00 00 00 00 00 00 00 6a 02 ..............f.....t.........j.
4f20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 ..................j.............
4f40 00 00 00 00 00 00 7c 00 7c 01 7c 02 64 01 ac 02 ab 04 00 00 00 00 00 00 6a 07 00 00 00 00 00 00 ......|.|.|.d...........j.......
4f60 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 53 00 29 03 61 da 02 00 00 0a ............|.........S.).a.....
4f80 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 74 68 65 20 6d 61 78 69 6d 75 6d 20 76 61 6c 75 65 ........Return.the.maximum.value
4fa0 20 61 6c 6f 6e 67 20 61 6e 20 61 78 69 73 2e 0a 0a 20 20 20 20 20 20 20 20 50 61 72 61 6d 65 74 .along.an.axis...........Paramet
4fc0 65 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 53 ers.........----------.........S
4fe0 65 65 20 60 61 6d 61 78 60 20 66 6f 72 20 63 6f 6d 70 6c 65 74 65 20 64 65 73 63 72 69 70 74 69 ee.`amax`.for.complete.descripti
5000 6f 6e 73 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d ons..........See.Also.........--
5020 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 61 6d 61 78 2c 20 6e 64 61 72 72 61 79 2e 6d 61 78 ------.........amax,.ndarray.max
5040 0a 0a 20 20 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 ..........Notes.........-----...
5060 20 20 20 20 20 20 54 68 69 73 20 69 73 20 74 68 65 20 73 61 6d 65 20 61 73 20 60 6e 64 61 72 72 ......This.is.the.same.as.`ndarr
5080 61 79 2e 6d 61 78 60 2c 20 62 75 74 20 72 65 74 75 72 6e 73 20 61 20 60 6d 61 74 72 69 78 60 20 ay.max`,.but.returns.a.`matrix`.
50a0 6f 62 6a 65 63 74 0a 20 20 20 20 20 20 20 20 77 68 65 72 65 20 60 6e 64 61 72 72 61 79 2e 6d 61 object.........where.`ndarray.ma
50c0 78 60 20 77 6f 75 6c 64 20 72 65 74 75 72 6e 20 61 6e 20 6e 64 61 72 72 61 79 2e 0a 0a 20 20 20 x`.would.return.an.ndarray......
50e0 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 .....Examples.........--------..
5100 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e .......>>>.x.=.np.matrix(np.aran
5120 67 65 28 31 32 29 2e 72 65 73 68 61 70 65 28 28 33 2c 34 29 29 29 3b 20 78 0a 20 20 20 20 20 20 ge(12).reshape((3,4)));.x.......
5140 20 20 6d 61 74 72 69 78 28 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 ..matrix([[.0,..1,..2,..3],.....
5160 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 ............[.4,..5,..6,..7],...
5180 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 ..............[.8,..9,.10,.11]])
51a0 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 6d 61 78 28 29 0a 20 20 20 20 20 20 20 20 31 31 0a .........>>>.x.max().........11.
51c0 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 6d 61 78 28 30 29 0a 20 20 20 20 20 20 20 20 6d 61 74 ........>>>.x.max(0).........mat
51e0 72 69 78 28 5b 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a 20 20 20 20 20 20 20 20 rix([[.8,..9,.10,.11]]).........
5200 3e 3e 3e 20 78 2e 6d 61 78 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 33 >>>.x.max(1).........matrix([[.3
5220 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 37 5d 2c 0a 20 20 20 20 20 20 20 ],.................[.7],........
5240 20 20 20 20 20 20 20 20 20 5b 31 31 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 54 72 7f 00 00 00 29 .........[11]])..........Tr....)
5260 04 72 3b 00 00 00 72 3c 00 00 00 da 03 6d 61 78 72 79 00 00 00 72 97 00 00 00 73 03 00 00 00 20 .r;...r<.....maxry...r....s.....
5280 20 20 72 24 00 00 00 72 9b 00 00 00 7a 0a 6d 61 74 72 69 78 2e 6d 61 78 6b 02 00 00 f3 2b 00 00 ..r$...r....z.matrix.maxk....+..
52a0 00 80 00 f4 42 01 00 10 11 8f 79 89 79 8f 7d 89 7d 98 54 a0 34 a8 13 b0 74 88 7d d3 0f 3c d7 0f ....B.....y.y.}.}.T.4...t.}..<..
52c0 46 d1 0f 46 c0 74 d3 0f 4c d0 08 4c 72 26 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 05 00 F..F.t..L..Lr&...c..............
52e0 00 00 03 00 00 00 f3 62 00 00 00 97 00 74 00 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 .......b.....t.........j........
5300 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c ...........j...................|
5320 00 7c 01 7c 02 ab 03 00 00 00 00 00 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .|.|.........j..................
5340 00 7c 01 ab 01 00 00 00 00 00 00 53 00 29 01 61 9a 03 00 00 0a 20 20 20 20 20 20 20 20 49 6e 64 .|.........S.).a.............Ind
5360 65 78 65 73 20 6f 66 20 74 68 65 20 6d 61 78 69 6d 75 6d 20 76 61 6c 75 65 73 20 61 6c 6f 6e 67 exes.of.the.maximum.values.along
5380 20 61 6e 20 61 78 69 73 2e 0a 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 74 68 65 20 69 6e .an.axis...........Return.the.in
53a0 64 65 78 65 73 20 6f 66 20 74 68 65 20 66 69 72 73 74 20 6f 63 63 75 72 72 65 6e 63 65 73 20 6f dexes.of.the.first.occurrences.o
53c0 66 20 74 68 65 20 6d 61 78 69 6d 75 6d 20 76 61 6c 75 65 73 0a 20 20 20 20 20 20 20 20 61 6c 6f f.the.maximum.values.........alo
53e0 6e 67 20 74 68 65 20 73 70 65 63 69 66 69 65 64 20 61 78 69 73 2e 20 20 49 66 20 61 78 69 73 20 ng.the.specified.axis...If.axis.
5400 69 73 20 4e 6f 6e 65 2c 20 74 68 65 20 69 6e 64 65 78 20 69 73 20 66 6f 72 20 74 68 65 0a 20 20 is.None,.the.index.is.for.the...
5420 20 20 20 20 20 20 66 6c 61 74 74 65 6e 65 64 20 6d 61 74 72 69 78 2e 0a 0a 20 20 20 20 20 20 20 ......flattened.matrix..........
5440 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 .Parameters.........----------..
5460 20 20 20 20 20 20 20 53 65 65 20 60 6e 75 6d 70 79 2e 61 72 67 6d 61 78 60 20 66 6f 72 20 63 6f .......See.`numpy.argmax`.for.co
5480 6d 70 6c 65 74 65 20 64 65 73 63 72 69 70 74 69 6f 6e 73 0a 0a 20 20 20 20 20 20 20 20 53 65 65 mplete.descriptions..........See
54a0 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6e .Also.........--------.........n
54c0 75 6d 70 79 2e 61 72 67 6d 61 78 0a 0a 20 20 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 umpy.argmax..........Notes......
54e0 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 54 68 69 73 20 69 73 20 74 68 65 20 73 61 6d ...-----.........This.is.the.sam
5500 65 20 61 73 20 60 6e 64 61 72 72 61 79 2e 61 72 67 6d 61 78 60 2c 20 62 75 74 20 72 65 74 75 72 e.as.`ndarray.argmax`,.but.retur
5520 6e 73 20 61 20 60 6d 61 74 72 69 78 60 20 6f 62 6a 65 63 74 0a 20 20 20 20 20 20 20 20 77 68 65 ns.a.`matrix`.object.........whe
5540 72 65 20 60 6e 64 61 72 72 61 79 2e 61 72 67 6d 61 78 60 20 77 6f 75 6c 64 20 72 65 74 75 72 6e re.`ndarray.argmax`.would.return
5560 20 61 6e 20 60 6e 64 61 72 72 61 79 60 2e 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 .an.`ndarray`...........Examples
5580 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 .........--------.........>>>.x.
55a0 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 65 73 68 61 70 =.np.matrix(np.arange(12).reshap
55c0 65 28 28 33 2c 34 29 29 29 3b 20 78 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 30 e((3,4)));.x.........matrix([[.0
55e0 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b ,..1,..2,..3],.................[
5600 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 .4,..5,..6,..7],................
5620 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 .[.8,..9,.10,.11]]).........>>>.
5640 78 2e 61 72 67 6d 61 78 28 29 0a 20 20 20 20 20 20 20 20 31 31 0a 20 20 20 20 20 20 20 20 3e 3e x.argmax().........11.........>>
5660 3e 20 78 2e 61 72 67 6d 61 78 28 30 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 32 >.x.argmax(0).........matrix([[2
5680 2c 20 32 2c 20 32 2c 20 32 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 61 72 67 6d 61 ,.2,.2,.2]]).........>>>.x.argma
56a0 78 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 33 5d 2c 0a 20 20 20 20 20 20 x(1).........matrix([[3],.......
56c0 20 20 20 20 20 20 20 20 20 20 5b 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b ..........[3],.................[
56e0 33 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 29 04 72 3b 00 00 00 72 3c 00 00 00 da 06 61 72 67 6d 3]])..........).r;...r<.....argm
5700 61 78 72 77 00 00 00 72 97 00 00 00 73 03 00 00 00 20 20 20 72 24 00 00 00 72 9e 00 00 00 7a 0d axrw...r....s.......r$...r....z.
5720 6d 61 74 72 69 78 2e 61 72 67 6d 61 78 8e 02 00 00 f3 29 00 00 00 80 00 f4 4a 01 00 10 11 8f 79 matrix.argmax.....)......J.....y
5740 89 79 d7 0f 1f d1 0f 1f a0 04 a0 64 a8 43 d3 0f 30 d7 0f 37 d1 0f 37 b8 04 d3 0f 3d d0 08 3d 72 .y.........d.C..0..7..7....=..=r
5760 26 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 06 00 00 00 03 00 00 00 f3 66 00 00 00 97 00 &...c.....................f.....
5780 74 00 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 t.........j...................j.
57a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 64 01 ac 02 ab 04 00 00 ..................|.|.|.d.......
57c0 00 00 00 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 ....j...................|.......
57e0 00 00 53 00 29 03 61 f0 02 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 74 68 65 20 6d ..S.).a.............Return.the.m
5800 69 6e 69 6d 75 6d 20 76 61 6c 75 65 20 61 6c 6f 6e 67 20 61 6e 20 61 78 69 73 2e 0a 0a 20 20 20 inimum.value.along.an.axis......
5820 20 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d .....Parameters.........--------
5840 2d 2d 0a 20 20 20 20 20 20 20 20 53 65 65 20 60 61 6d 69 6e 60 20 66 6f 72 20 63 6f 6d 70 6c 65 --.........See.`amin`.for.comple
5860 74 65 20 64 65 73 63 72 69 70 74 69 6f 6e 73 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c te.descriptions...........See.Al
5880 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 61 6d 69 6e so.........--------.........amin
58a0 2c 20 6e 64 61 72 72 61 79 2e 6d 69 6e 0a 0a 20 20 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 ,.ndarray.min..........Notes....
58c0 20 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 54 68 69 73 20 69 73 20 74 68 65 20 73 .....-----.........This.is.the.s
58e0 61 6d 65 20 61 73 20 60 6e 64 61 72 72 61 79 2e 6d 69 6e 60 2c 20 62 75 74 20 72 65 74 75 72 6e ame.as.`ndarray.min`,.but.return
5900 73 20 61 20 60 6d 61 74 72 69 78 60 20 6f 62 6a 65 63 74 0a 20 20 20 20 20 20 20 20 77 68 65 72 s.a.`matrix`.object.........wher
5920 65 20 60 6e 64 61 72 72 61 79 2e 6d 69 6e 60 20 77 6f 75 6c 64 20 72 65 74 75 72 6e 20 61 6e 20 e.`ndarray.min`.would.return.an.
5940 6e 64 61 72 72 61 79 2e 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 ndarray...........Examples......
5960 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 3d 20 2d 6e 70 2e ...--------.........>>>.x.=.-np.
5980 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 65 73 68 61 70 65 28 28 33 2c matrix(np.arange(12).reshape((3,
59a0 34 29 29 29 3b 20 78 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 20 30 2c 20 20 2d 4)));.x.........matrix([[..0,..-
59c0 31 2c 20 20 2d 32 2c 20 20 2d 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 1,..-2,..-3],.................[.
59e0 2d 34 2c 20 20 2d 35 2c 20 20 2d 36 2c 20 20 2d 37 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 -4,..-5,..-6,..-7],.............
5a00 20 20 20 20 5b 20 2d 38 2c 20 20 2d 39 2c 20 2d 31 30 2c 20 2d 31 31 5d 5d 29 0a 20 20 20 20 20 ....[.-8,..-9,.-10,.-11]])......
5a20 20 20 20 3e 3e 3e 20 78 2e 6d 69 6e 28 29 0a 20 20 20 20 20 20 20 20 2d 31 31 0a 20 20 20 20 20 ...>>>.x.min().........-11......
5a40 20 20 20 3e 3e 3e 20 78 2e 6d 69 6e 28 30 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b ...>>>.x.min(0).........matrix([
5a60 5b 20 2d 38 2c 20 20 2d 39 2c 20 2d 31 30 2c 20 2d 31 31 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e [.-8,..-9,.-10,.-11]]).........>
5a80 3e 3e 20 78 2e 6d 69 6e 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 2d 33 >>.x.min(1).........matrix([[.-3
5aa0 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 2d 37 5d 2c 0a 20 20 20 20 20 20 ],.................[.-7],.......
5ac0 20 20 20 20 20 20 20 20 20 20 5b 2d 31 31 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 54 72 7f 00 00 ..........[-11]])..........Tr...
5ae0 00 29 04 72 3b 00 00 00 72 3c 00 00 00 da 03 6d 69 6e 72 79 00 00 00 72 97 00 00 00 73 03 00 00 .).r;...r<.....minry...r....s...
5b00 00 20 20 20 72 24 00 00 00 72 a1 00 00 00 7a 0a 6d 61 74 72 69 78 2e 6d 69 6e b5 02 00 00 72 9c ....r$...r....z.matrix.min....r.
5b20 00 00 00 72 26 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 62 00 ...r&...c.....................b.
5b40 00 00 97 00 74 00 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ....t.........j.................
5b60 00 00 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 ab 03 00 00 ..j...................|.|.|.....
5b80 00 00 00 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 ....j...................|.......
5ba0 00 00 53 00 29 01 61 a8 03 00 00 0a 20 20 20 20 20 20 20 20 49 6e 64 65 78 65 73 20 6f 66 20 74 ..S.).a.............Indexes.of.t
5bc0 68 65 20 6d 69 6e 69 6d 75 6d 20 76 61 6c 75 65 73 20 61 6c 6f 6e 67 20 61 6e 20 61 78 69 73 2e he.minimum.values.along.an.axis.
5be0 0a 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 74 68 65 20 69 6e 64 65 78 65 73 20 6f 66 20 ..........Return.the.indexes.of.
5c00 74 68 65 20 66 69 72 73 74 20 6f 63 63 75 72 72 65 6e 63 65 73 20 6f 66 20 74 68 65 20 6d 69 6e the.first.occurrences.of.the.min
5c20 69 6d 75 6d 20 76 61 6c 75 65 73 0a 20 20 20 20 20 20 20 20 61 6c 6f 6e 67 20 74 68 65 20 73 70 imum.values.........along.the.sp
5c40 65 63 69 66 69 65 64 20 61 78 69 73 2e 20 20 49 66 20 61 78 69 73 20 69 73 20 4e 6f 6e 65 2c 20 ecified.axis...If.axis.is.None,.
5c60 74 68 65 20 69 6e 64 65 78 20 69 73 20 66 6f 72 20 74 68 65 0a 20 20 20 20 20 20 20 20 66 6c 61 the.index.is.for.the.........fla
5c80 74 74 65 6e 65 64 20 6d 61 74 72 69 78 2e 0a 0a 20 20 20 20 20 20 20 20 50 61 72 61 6d 65 74 65 ttened.matrix...........Paramete
5ca0 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 53 65 rs.........----------.........Se
5cc0 65 20 60 6e 75 6d 70 79 2e 61 72 67 6d 69 6e 60 20 66 6f 72 20 63 6f 6d 70 6c 65 74 65 20 64 65 e.`numpy.argmin`.for.complete.de
5ce0 73 63 72 69 70 74 69 6f 6e 73 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 scriptions...........See.Also...
5d00 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6e 75 6d 70 79 2e 61 72 67 ......--------.........numpy.arg
5d20 6d 69 6e 0a 0a 20 20 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d min..........Notes.........-----
5d40 0a 20 20 20 20 20 20 20 20 54 68 69 73 20 69 73 20 74 68 65 20 73 61 6d 65 20 61 73 20 60 6e 64 .........This.is.the.same.as.`nd
5d60 61 72 72 61 79 2e 61 72 67 6d 69 6e 60 2c 20 62 75 74 20 72 65 74 75 72 6e 73 20 61 20 60 6d 61 array.argmin`,.but.returns.a.`ma
5d80 74 72 69 78 60 20 6f 62 6a 65 63 74 0a 20 20 20 20 20 20 20 20 77 68 65 72 65 20 60 6e 64 61 72 trix`.object.........where.`ndar
5da0 72 61 79 2e 61 72 67 6d 69 6e 60 20 77 6f 75 6c 64 20 72 65 74 75 72 6e 20 61 6e 20 60 6e 64 61 ray.argmin`.would.return.an.`nda
5dc0 72 72 61 79 60 2e 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 rray`...........Examples........
5de0 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 20 3d 20 2d 6e 70 2e 6d 61 .--------.........>>>.x.=.-np.ma
5e00 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 65 73 68 61 70 65 28 28 33 2c 34 29 trix(np.arange(12).reshape((3,4)
5e20 29 29 3b 20 78 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 20 20 30 2c 20 20 2d 31 2c ));.x.........matrix([[..0,..-1,
5e40 20 20 2d 32 2c 20 20 2d 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 2d 34 ..-2,..-3],.................[.-4
5e60 2c 20 20 2d 35 2c 20 20 2d 36 2c 20 20 2d 37 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ,..-5,..-6,..-7],...............
5e80 20 20 5b 20 2d 38 2c 20 20 2d 39 2c 20 2d 31 30 2c 20 2d 31 31 5d 5d 29 0a 20 20 20 20 20 20 20 ..[.-8,..-9,.-10,.-11]])........
5ea0 20 3e 3e 3e 20 78 2e 61 72 67 6d 69 6e 28 29 0a 20 20 20 20 20 20 20 20 31 31 0a 20 20 20 20 20 .>>>.x.argmin().........11......
5ec0 20 20 20 3e 3e 3e 20 78 2e 61 72 67 6d 69 6e 28 30 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 ...>>>.x.argmin(0).........matri
5ee0 78 28 5b 5b 32 2c 20 32 2c 20 32 2c 20 32 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e x([[2,.2,.2,.2]]).........>>>.x.
5f00 61 72 67 6d 69 6e 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 33 5d 2c 0a 20 argmin(1).........matrix([[3],..
5f20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 ...............[3],.............
5f40 20 20 20 20 5b 33 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 29 04 72 3b 00 00 00 72 3c 00 00 00 da ....[3]])..........).r;...r<....
5f60 06 61 72 67 6d 69 6e 72 77 00 00 00 72 97 00 00 00 73 03 00 00 00 20 20 20 72 24 00 00 00 72 a3 .argminrw...r....s.......r$...r.
5f80 00 00 00 7a 0d 6d 61 74 72 69 78 2e 61 72 67 6d 69 6e d8 02 00 00 72 9f 00 00 00 72 26 00 00 00 ...z.matrix.argmin....r....r&...
5fa0 63 03 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 4e 00 00 00 97 00 74 01 00 00 c.....................N.....t...
5fc0 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 7c 02 ......j...................|.|.|.
5fe0 ab 03 00 00 00 00 00 00 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 ........j...................|...
6000 00 00 00 00 00 00 53 00 29 01 61 c0 02 00 00 0a 20 20 20 20 20 20 20 20 50 65 61 6b 2d 74 6f 2d ......S.).a.............Peak-to-
6020 70 65 61 6b 20 28 6d 61 78 69 6d 75 6d 20 2d 20 6d 69 6e 69 6d 75 6d 29 20 76 61 6c 75 65 20 61 peak.(maximum.-.minimum).value.a
6040 6c 6f 6e 67 20 74 68 65 20 67 69 76 65 6e 20 61 78 69 73 2e 0a 0a 20 20 20 20 20 20 20 20 52 65 long.the.given.axis...........Re
6060 66 65 72 20 74 6f 20 60 6e 75 6d 70 79 2e 70 74 70 60 20 66 6f 72 20 66 75 6c 6c 20 64 6f 63 75 fer.to.`numpy.ptp`.for.full.docu
6080 6d 65 6e 74 61 74 69 6f 6e 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 mentation...........See.Also....
60a0 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6e 75 6d 70 79 2e 70 74 70 0a .....--------.........numpy.ptp.
60c0 0a 20 20 20 20 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 .........Notes.........-----....
60e0 20 20 20 20 20 53 61 6d 65 20 61 73 20 60 6e 64 61 72 72 61 79 2e 70 74 70 60 2c 20 65 78 63 65 .....Same.as.`ndarray.ptp`,.exce
6100 70 74 2c 20 77 68 65 72 65 20 74 68 61 74 20 77 6f 75 6c 64 20 72 65 74 75 72 6e 20 61 6e 20 60 pt,.where.that.would.return.an.`
6120 6e 64 61 72 72 61 79 60 20 6f 62 6a 65 63 74 2c 0a 20 20 20 20 20 20 20 20 74 68 69 73 20 72 65 ndarray`.object,.........this.re
6140 74 75 72 6e 73 20 61 20 60 6d 61 74 72 69 78 60 20 6f 62 6a 65 63 74 2e 0a 0a 20 20 20 20 20 20 turns.a.`matrix`.object.........
6160 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 ..Examples.........--------.....
6180 20 20 20 20 3e 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 ....>>>.x.=.np.matrix(np.arange(
61a0 31 32 29 2e 72 65 73 68 61 70 65 28 28 33 2c 34 29 29 29 3b 20 78 0a 20 20 20 20 20 20 20 20 6d 12).reshape((3,4)));.x.........m
61c0 61 74 72 69 78 28 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 20 20 20 atrix([[.0,..1,..2,..3],........
61e0 20 20 20 20 20 20 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 20 20 20 .........[.4,..5,..6,..7],......
6200 20 20 20 20 20 20 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a 20 20 ...........[.8,..9,.10,.11]])...
6220 20 20 20 20 20 20 3e 3e 3e 20 78 2e 70 74 70 28 29 0a 20 20 20 20 20 20 20 20 31 31 0a 20 20 20 ......>>>.x.ptp().........11....
6240 20 20 20 20 20 3e 3e 3e 20 78 2e 70 74 70 28 30 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 .....>>>.x.ptp(0).........matrix
6260 28 5b 5b 38 2c 20 38 2c 20 38 2c 20 38 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 78 2e 70 ([[8,.8,.8,.8]]).........>>>.x.p
6280 74 70 28 31 29 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 33 5d 2c 0a 20 20 20 20 20 tp(1).........matrix([[3],......
62a0 20 20 20 20 20 20 20 20 20 20 20 5b 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ...........[3],.................
62c0 5b 33 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 29 03 72 3b 00 00 00 da 03 70 74 70 72 77 00 00 00 [3]])..........).r;.....ptprw...
62e0 72 97 00 00 00 73 03 00 00 00 20 20 20 72 24 00 00 00 72 a5 00 00 00 7a 0a 6d 61 74 72 69 78 2e r....s.......r$...r....z.matrix.
6300 70 74 70 ff 02 00 00 73 22 00 00 00 80 00 f4 3e 00 10 11 8f 75 89 75 90 54 98 34 a0 13 d3 0f 25 ptp....s"......>....u.u.T.4....%
6320 d7 0f 2c d1 0f 2c a8 54 d3 0f 32 d0 08 32 72 26 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 ..,..,.T..2..2r&...c............
6340 05 00 00 00 03 00 00 00 f3 66 00 00 00 97 00 7c 00 6a 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .........f.....|.j..............
6360 00 00 00 00 00 5c 02 00 00 7d 01 7d 02 7c 01 7c 02 6b 28 00 00 72 07 64 01 64 02 6c 01 6d 02 7d .....\...}.}.|.|.k(..r.d.d.l.m.}
6380 03 01 00 6e 06 64 01 64 03 6c 01 6d 03 7d 03 01 00 74 09 00 00 00 00 00 00 00 00 02 00 7c 03 7c ...n.d.d.l.m.}...t...........|.|
63a0 00 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 53 00 29 04 61 49 03 00 00 0a 20 20 20 20 20 .................S.).aI.........
63c0 20 20 20 52 65 74 75 72 6e 73 20 74 68 65 20 28 6d 75 6c 74 69 70 6c 69 63 61 74 69 76 65 29 20 ...Returns.the.(multiplicative).
63e0 69 6e 76 65 72 73 65 20 6f 66 20 69 6e 76 65 72 74 69 62 6c 65 20 60 73 65 6c 66 60 2e 0a 0a 20 inverse.of.invertible.`self`....
6400 20 20 20 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d .......Parameters.........------
6420 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 4e 6f 6e 65 0a 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 ----.........None..........Retur
6440 6e 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 72 65 74 20 3a ns.........-------.........ret.:
6460 20 6d 61 74 72 69 78 20 6f 62 6a 65 63 74 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 66 20 60 73 .matrix.object.............If.`s
6480 65 6c 66 60 20 69 73 20 6e 6f 6e 2d 73 69 6e 67 75 6c 61 72 2c 20 60 72 65 74 60 20 69 73 20 73 elf`.is.non-singular,.`ret`.is.s
64a0 75 63 68 20 74 68 61 74 20 60 60 72 65 74 20 2a 20 73 65 6c 66 60 60 20 3d 3d 0a 20 20 20 20 20 uch.that.``ret.*.self``.==......
64c0 20 20 20 20 20 20 20 60 60 73 65 6c 66 20 2a 20 72 65 74 60 60 20 3d 3d 20 60 60 6e 70 2e 6d 61 .......``self.*.ret``.==.``np.ma
64e0 74 72 69 78 28 6e 70 2e 65 79 65 28 73 65 6c 66 5b 30 2c 3a 5d 2e 73 69 7a 65 29 29 60 60 20 61 trix(np.eye(self[0,:].size))``.a
6500 6c 6c 20 72 65 74 75 72 6e 0a 20 20 20 20 20 20 20 20 20 20 20 20 60 60 54 72 75 65 60 60 2e 0a ll.return.............``True``..
6520 0a 20 20 20 20 20 20 20 20 52 61 69 73 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 0a 20 .........Raises.........------..
6540 20 20 20 20 20 20 20 6e 75 6d 70 79 2e 6c 69 6e 61 6c 67 2e 4c 69 6e 41 6c 67 45 72 72 6f 72 3a .......numpy.linalg.LinAlgError:
6560 20 53 69 6e 67 75 6c 61 72 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 66 20 .Singular.matrix.............If.
6580 60 73 65 6c 66 60 20 69 73 20 73 69 6e 67 75 6c 61 72 2e 0a 0a 20 20 20 20 20 20 20 20 53 65 65 `self`.is.singular...........See
65a0 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 6c .Also.........--------.........l
65c0 69 6e 61 6c 67 2e 69 6e 76 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 inalg.inv..........Examples.....
65e0 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6d 20 3d 20 6e 70 2e ....--------.........>>>.m.=.np.
6600 6d 61 74 72 69 78 28 27 5b 31 2c 20 32 3b 20 33 2c 20 34 5d 27 29 3b 20 6d 0a 20 20 20 20 20 20 matrix('[1,.2;.3,.4]');.m.......
6620 20 20 6d 61 74 72 69 78 28 5b 5b 31 2c 20 32 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ..matrix([[1,.2],...............
6640 20 20 5b 33 2c 20 34 5d 5d 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6d 2e 67 65 74 49 28 29 0a ..[3,.4]]).........>>>.m.getI().
6660 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b 2d 32 2e 20 2c 20 20 31 2e 20 5d 2c 0a 20 20 ........matrix([[-2..,..1..],...
6680 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 31 2e 35 2c 20 2d 30 2e 35 5d 5d 29 0a 20 20 20 ..............[.1.5,.-0.5]])....
66a0 20 20 20 20 20 3e 3e 3e 20 6d 2e 67 65 74 49 28 29 20 2a 20 6d 0a 20 20 20 20 20 20 20 20 6d 61 .....>>>.m.getI().*.m.........ma
66c0 74 72 69 78 28 5b 5b 20 31 2e 2c 20 20 30 2e 5d 2c 20 23 20 6d 61 79 20 76 61 72 79 0a 20 20 20 trix([[.1.,..0.],.#.may.vary....
66e0 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 30 2e 2c 20 20 31 2e 5d 5d 29 0a 0a 20 20 20 20 20 .............[.0.,..1.]]).......
6700 20 20 20 72 05 00 00 00 29 01 da 03 69 6e 76 29 01 da 04 70 69 6e 76 29 05 72 41 00 00 00 da 0c ...r....)...inv)...pinv).rA.....
6720 6e 75 6d 70 79 2e 6c 69 6e 61 6c 67 72 a7 00 00 00 72 a8 00 00 00 72 04 00 00 00 29 04 72 54 00 numpy.linalgr....r....r....).rT.
6740 00 00 da 01 4d 72 3b 00 00 00 da 04 66 75 6e 63 73 04 00 00 00 20 20 20 20 72 24 00 00 00 da 01 ....Mr;.....funcs........r$.....
6760 49 7a 08 6d 61 74 72 69 78 2e 49 20 03 00 00 73 2e 00 00 00 80 00 f0 4c 01 00 10 14 8f 7a 89 7a Iz.matrix.I....s.......L.....z.z
6780 89 04 88 01 88 31 d8 0b 0c 90 01 8a 36 de 0c 30 e5 0c 31 dc 0f 17 99 04 98 54 9b 0a d3 0f 23 d0 .....1......6..0..1......T....#.
67a0 08 23 72 26 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 02 00 00 00 03 00 00 00 f3 22 00 00 .#r&...c....................."..
67c0 00 97 00 7c 00 6a 01 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 ...|.j..........................
67e0 00 53 00 29 01 61 31 02 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 60 73 65 6c 66 60 .S.).a1............Return.`self`
6800 20 61 73 20 61 6e 20 60 6e 64 61 72 72 61 79 60 20 6f 62 6a 65 63 74 2e 0a 0a 20 20 20 20 20 20 .as.an.`ndarray`.object.........
6820 20 20 45 71 75 69 76 61 6c 65 6e 74 20 74 6f 20 60 60 6e 70 2e 61 73 61 72 72 61 79 28 73 65 6c ..Equivalent.to.``np.asarray(sel
6840 66 29 60 60 2e 0a 0a 20 20 20 20 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 20 20 f)``...........Parameters.......
6860 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 4e 6f 6e 65 0a 0a 20 20 20 20 20 ..----------.........None.......
6880 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 ...Returns.........-------......
68a0 20 20 20 72 65 74 20 3a 20 6e 64 61 72 72 61 79 0a 20 20 20 20 20 20 20 20 20 20 20 20 60 73 65 ...ret.:.ndarray.............`se
68c0 6c 66 60 20 61 73 20 61 6e 20 60 6e 64 61 72 72 61 79 60 0a 0a 20 20 20 20 20 20 20 20 45 78 61 lf`.as.an.`ndarray`..........Exa
68e0 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e mples.........--------.........>
6900 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 >>.x.=.np.matrix(np.arange(12).r
6920 65 73 68 61 70 65 28 28 33 2c 34 29 29 29 3b 20 78 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 eshape((3,4)));.x.........matrix
6940 28 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 ([[.0,..1,..2,..3],.............
6960 20 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 ....[.4,..5,..6,..7],...........
6980 20 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a 20 20 20 20 20 20 20 ......[.8,..9,.10,.11]])........
69a0 20 3e 3e 3e 20 78 2e 67 65 74 41 28 29 0a 20 20 20 20 20 20 20 20 61 72 72 61 79 28 5b 5b 20 30 .>>>.x.getA().........array([[.0
69c0 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 20 ,..1,..2,..3],................[.
69e0 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 4,..5,..6,..7],................[
6a00 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 29 01 72 7b 00 .8,..9,.10,.11]])..........).r{.
6a20 00 00 72 7d 00 00 00 73 01 00 00 00 20 72 24 00 00 00 da 01 41 7a 08 6d 61 74 72 69 78 2e 41 4d ..r}...s.....r$.....Az.matrix.AM
6a40 03 00 00 73 11 00 00 00 80 00 f0 38 00 10 14 8f 7e 89 7e d3 0f 1f d0 08 1f 72 26 00 00 00 63 01 ...s.......8....~.~......r&...c.
6a60 00 00 00 00 00 00 00 00 00 00 00 02 00 00 00 03 00 00 00 f3 3e 00 00 00 97 00 7c 00 6a 01 00 00 ....................>.....|.j...
6a80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 6a 03 00 00 00 00 00 00 ........................j.......
6aa0 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 53 00 29 01 61 08 02 00 00 0a 20 20 ....................S.).a.......
6ac0 20 20 20 20 20 20 52 65 74 75 72 6e 20 60 73 65 6c 66 60 20 61 73 20 61 20 66 6c 61 74 74 65 6e ......Return.`self`.as.a.flatten
6ae0 65 64 20 60 6e 64 61 72 72 61 79 60 2e 0a 0a 20 20 20 20 20 20 20 20 45 71 75 69 76 61 6c 65 6e ed.`ndarray`...........Equivalen
6b00 74 20 74 6f 20 60 60 6e 70 2e 61 73 61 72 72 61 79 28 78 29 2e 72 61 76 65 6c 28 29 60 60 0a 0a t.to.``np.asarray(x).ravel()``..
6b20 20 20 20 20 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d ........Parameters.........-----
6b40 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 4e 6f 6e 65 0a 0a 20 20 20 20 20 20 20 20 52 65 74 75 -----.........None..........Retu
6b60 72 6e 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 72 65 74 20 rns.........-------.........ret.
6b80 3a 20 6e 64 61 72 72 61 79 0a 20 20 20 20 20 20 20 20 20 20 20 20 60 73 65 6c 66 60 2c 20 31 2d :.ndarray.............`self`,.1-
6ba0 44 2c 20 61 73 20 61 6e 20 60 6e 64 61 72 72 61 79 60 0a 0a 20 20 20 20 20 20 20 20 45 78 61 6d D,.as.an.`ndarray`..........Exam
6bc0 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e ples.........--------.........>>
6be0 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2e 72 65 >.x.=.np.matrix(np.arange(12).re
6c00 73 68 61 70 65 28 28 33 2c 34 29 29 29 3b 20 78 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 shape((3,4)));.x.........matrix(
6c20 5b 5b 20 30 2c 20 20 31 2c 20 20 32 2c 20 20 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 [[.0,..1,..2,..3],..............
6c40 20 20 20 5b 20 34 2c 20 20 35 2c 20 20 36 2c 20 20 37 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 ...[.4,..5,..6,..7],............
6c60 20 20 20 20 20 5b 20 38 2c 20 20 39 2c 20 31 30 2c 20 31 31 5d 5d 29 0a 20 20 20 20 20 20 20 20 .....[.8,..9,.10,.11]]).........
6c80 3e 3e 3e 20 78 2e 67 65 74 41 31 28 29 0a 20 20 20 20 20 20 20 20 61 72 72 61 79 28 5b 20 30 2c >>>.x.getA1().........array([.0,
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6ce0 00 00 00 da 02 41 31 7a 09 6d 61 74 72 69 78 2e 41 31 6b 03 00 00 73 1a 00 00 00 80 00 f0 36 00 .....A1z.matrix.A1k...s.......6.
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6d20 00 00 00 00 00 00 00 04 00 00 00 03 00 00 00 f3 44 00 00 00 97 00 74 00 00 00 00 00 00 00 00 00 ................D.....t.........
6d40 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 05 00 00 00 00 00 00 00 00 00 00 j...................j...........
6d60 00 00 00 00 00 00 00 00 7c 00 7c 01 ac 01 ab 02 00 00 00 00 00 00 53 00 29 02 61 09 06 00 00 0a ........|.|...........S.).a.....
6d80 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 61 20 66 6c 61 74 74 65 6e 65 64 20 6d 61 74 72 69 ........Return.a.flattened.matri
6da0 78 2e 0a 0a 20 20 20 20 20 20 20 20 52 65 66 65 72 20 74 6f 20 60 6e 75 6d 70 79 2e 72 61 76 65 x...........Refer.to.`numpy.rave
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6de0 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d ....Parameters.........---------
6e00 2d 0a 20 20 20 20 20 20 20 20 6f 72 64 65 72 20 3a 20 7b 27 43 27 2c 20 27 46 27 2c 20 27 41 27 -.........order.:.{'C',.'F',.'A'
6e20 2c 20 27 4b 27 7d 2c 20 6f 70 74 69 6f 6e 61 6c 0a 20 20 20 20 20 20 20 20 20 20 20 20 54 68 65 ,.'K'},.optional.............The
6e40 20 65 6c 65 6d 65 6e 74 73 20 6f 66 20 60 6d 60 20 61 72 65 20 72 65 61 64 20 75 73 69 6e 67 20 .elements.of.`m`.are.read.using.
6e60 74 68 69 73 20 69 6e 64 65 78 20 6f 72 64 65 72 2e 20 27 43 27 20 6d 65 61 6e 73 20 74 6f 0a 20 this.index.order..'C'.means.to..
6e80 20 20 20 20 20 20 20 20 20 20 20 69 6e 64 65 78 20 74 68 65 20 65 6c 65 6d 65 6e 74 73 20 69 6e ...........index.the.elements.in
6ea0 20 43 2d 6c 69 6b 65 20 6f 72 64 65 72 2c 20 77 69 74 68 20 74 68 65 20 6c 61 73 74 20 61 78 69 .C-like.order,.with.the.last.axi
6ec0 73 20 69 6e 64 65 78 0a 20 20 20 20 20 20 20 20 20 20 20 20 63 68 61 6e 67 69 6e 67 20 66 61 73 s.index.............changing.fas
6ee0 74 65 73 74 2c 20 62 61 63 6b 20 74 6f 20 74 68 65 20 66 69 72 73 74 20 61 78 69 73 20 69 6e 64 test,.back.to.the.first.axis.ind
6f00 65 78 20 63 68 61 6e 67 69 6e 67 20 73 6c 6f 77 65 73 74 2e 0a 20 20 20 20 20 20 20 20 20 20 20 ex.changing.slowest.............
6f20 20 27 46 27 20 6d 65 61 6e 73 20 74 6f 20 69 6e 64 65 78 20 74 68 65 20 65 6c 65 6d 65 6e 74 73 .'F'.means.to.index.the.elements
6f40 20 69 6e 20 46 6f 72 74 72 61 6e 2d 6c 69 6b 65 20 69 6e 64 65 78 20 6f 72 64 65 72 2c 20 77 69 .in.Fortran-like.index.order,.wi
6f60 74 68 0a 20 20 20 20 20 20 20 20 20 20 20 20 74 68 65 20 66 69 72 73 74 20 69 6e 64 65 78 20 63 th.............the.first.index.c
6f80 68 61 6e 67 69 6e 67 20 66 61 73 74 65 73 74 2c 20 61 6e 64 20 74 68 65 20 6c 61 73 74 20 69 6e hanging.fastest,.and.the.last.in
6fa0 64 65 78 20 63 68 61 6e 67 69 6e 67 0a 20 20 20 20 20 20 20 20 20 20 20 20 73 6c 6f 77 65 73 74 dex.changing.............slowest
6fc0 2e 20 4e 6f 74 65 20 74 68 61 74 20 74 68 65 20 27 43 27 20 61 6e 64 20 27 46 27 20 6f 70 74 69 ..Note.that.the.'C'.and.'F'.opti
6fe0 6f 6e 73 20 74 61 6b 65 20 6e 6f 20 61 63 63 6f 75 6e 74 20 6f 66 20 74 68 65 0a 20 20 20 20 20 ons.take.no.account.of.the......
7000 20 20 20 20 20 20 20 6d 65 6d 6f 72 79 20 6c 61 79 6f 75 74 20 6f 66 20 74 68 65 20 75 6e 64 65 .......memory.layout.of.the.unde
7020 72 6c 79 69 6e 67 20 61 72 72 61 79 2c 20 61 6e 64 20 6f 6e 6c 79 20 72 65 66 65 72 20 74 6f 20 rlying.array,.and.only.refer.to.
7040 74 68 65 20 6f 72 64 65 72 0a 20 20 20 20 20 20 20 20 20 20 20 20 6f 66 20 61 78 69 73 20 69 6e the.order.............of.axis.in
7060 64 65 78 69 6e 67 2e 20 20 27 41 27 20 6d 65 61 6e 73 20 74 6f 20 72 65 61 64 20 74 68 65 20 65 dexing...'A'.means.to.read.the.e
7080 6c 65 6d 65 6e 74 73 20 69 6e 20 46 6f 72 74 72 61 6e 2d 6c 69 6b 65 0a 20 20 20 20 20 20 20 20 lements.in.Fortran-like.........
70a0 20 20 20 20 69 6e 64 65 78 20 6f 72 64 65 72 20 69 66 20 60 6d 60 20 69 73 20 46 6f 72 74 72 61 ....index.order.if.`m`.is.Fortra
70c0 6e 20 2a 63 6f 6e 74 69 67 75 6f 75 73 2a 20 69 6e 20 6d 65 6d 6f 72 79 2c 20 43 2d 6c 69 6b 65 n.*contiguous*.in.memory,.C-like
70e0 20 6f 72 64 65 72 0a 20 20 20 20 20 20 20 20 20 20 20 20 6f 74 68 65 72 77 69 73 65 2e 20 20 27 .order.............otherwise...'
7100 4b 27 20 6d 65 61 6e 73 20 74 6f 20 72 65 61 64 20 74 68 65 20 65 6c 65 6d 65 6e 74 73 20 69 6e K'.means.to.read.the.elements.in
7120 20 74 68 65 20 6f 72 64 65 72 20 74 68 65 79 20 6f 63 63 75 72 0a 20 20 20 20 20 20 20 20 20 20 .the.order.they.occur...........
7140 20 20 69 6e 20 6d 65 6d 6f 72 79 2c 20 65 78 63 65 70 74 20 66 6f 72 20 72 65 76 65 72 73 69 6e ..in.memory,.except.for.reversin
7160 67 20 74 68 65 20 64 61 74 61 20 77 68 65 6e 20 73 74 72 69 64 65 73 20 61 72 65 20 6e 65 67 61 g.the.data.when.strides.are.nega
7180 74 69 76 65 2e 0a 20 20 20 20 20 20 20 20 20 20 20 20 42 79 20 64 65 66 61 75 6c 74 2c 20 27 43 tive..............By.default,.'C
71a0 27 20 69 6e 64 65 78 20 6f 72 64 65 72 20 69 73 20 75 73 65 64 2e 0a 0a 20 20 20 20 20 20 20 20 '.index.order.is.used...........
71c0 52 65 74 75 72 6e 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 Returns.........-------.........
71e0 72 65 74 20 3a 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 20 ret.:.matrix.............Return.
7200 74 68 65 20 6d 61 74 72 69 78 20 66 6c 61 74 74 65 6e 65 64 20 74 6f 20 73 68 61 70 65 20 60 28 the.matrix.flattened.to.shape.`(
7220 31 2c 20 4e 29 60 20 77 68 65 72 65 20 60 4e 60 0a 20 20 20 20 20 20 20 20 20 20 20 20 69 73 20 1,.N)`.where.`N`.............is.
7240 74 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 65 6c 65 6d 65 6e 74 73 20 69 6e 20 74 68 65 20 6f 72 the.number.of.elements.in.the.or
7260 69 67 69 6e 61 6c 20 6d 61 74 72 69 78 2e 0a 20 20 20 20 20 20 20 20 20 20 20 20 41 20 63 6f 70 iginal.matrix..............A.cop
7280 79 20 69 73 20 6d 61 64 65 20 6f 6e 6c 79 20 69 66 20 6e 65 63 65 73 73 61 72 79 2e 0a 0a 20 20 y.is.made.only.if.necessary.....
72a0 20 20 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a ......See.Also.........--------.
72c0 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 2e 66 6c 61 74 74 65 6e 20 3a 20 72 65 74 75 72 6e 73 ........matrix.flatten.:.returns
72e0 20 61 20 73 69 6d 69 6c 61 72 20 6f 75 74 70 75 74 20 6d 61 74 72 69 78 20 62 75 74 20 61 6c 77 .a.similar.output.matrix.but.alw
7300 61 79 73 20 61 20 63 6f 70 79 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 2e 66 6c 61 74 20 3a ays.a.copy.........matrix.flat.:
7320 20 61 20 66 6c 61 74 20 69 74 65 72 61 74 6f 72 20 6f 6e 20 74 68 65 20 61 72 72 61 79 2e 0a 20 .a.flat.iterator.on.the.array...
7340 20 20 20 20 20 20 20 6e 75 6d 70 79 2e 72 61 76 65 6c 20 3a 20 72 65 6c 61 74 65 64 20 66 75 6e .......numpy.ravel.:.related.fun
7360 63 74 69 6f 6e 20 77 68 69 63 68 20 72 65 74 75 72 6e 73 20 61 6e 20 6e 64 61 72 72 61 79 0a 0a ction.which.returns.an.ndarray..
7380 20 20 20 20 20 20 20 20 72 87 00 00 00 29 03 72 3b 00 00 00 72 3c 00 00 00 72 b0 00 00 00 72 89 ........r....).r;...r<...r....r.
73a0 00 00 00 73 02 00 00 00 20 20 72 24 00 00 00 72 b0 00 00 00 7a 0c 6d 61 74 72 69 78 2e 72 61 76 ...s......r$...r....z.matrix.rav
73c0 65 6c 88 03 00 00 73 1c 00 00 00 80 00 f4 48 01 00 10 11 8f 79 89 79 8f 7f 89 7f 98 74 a8 35 88 el....s.......H.....y.y.....t.5.
73e0 7f d3 0f 31 d0 08 31 72 26 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 02 00 00 00 03 00 00 ...1..1r&...c...................
7400 00 f3 22 00 00 00 97 00 7c 00 6a 01 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 ..".....|.j.....................
7420 00 00 00 00 00 00 53 00 29 01 61 40 02 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 20 ......S.).a@............Returns.
7440 74 68 65 20 74 72 61 6e 73 70 6f 73 65 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 2e 0a 0a 20 20 the.transpose.of.the.matrix.....
7460 20 20 20 20 20 20 44 6f 65 73 20 2a 6e 6f 74 2a 20 63 6f 6e 6a 75 67 61 74 65 21 20 20 46 6f 72 ......Does.*not*.conjugate!..For
7480 20 74 68 65 20 63 6f 6d 70 6c 65 78 20 63 6f 6e 6a 75 67 61 74 65 20 74 72 61 6e 73 70 6f 73 65 .the.complex.conjugate.transpose
74a0 2c 20 75 73 65 20 60 60 2e 48 60 60 2e 0a 0a 20 20 20 20 20 20 20 20 50 61 72 61 6d 65 74 65 72 ,.use.``.H``...........Parameter
74c0 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 4e 6f 6e s.........----------.........Non
74e0 65 0a 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d e..........Returns.........-----
7500 2d 2d 0a 20 20 20 20 20 20 20 20 72 65 74 20 3a 20 6d 61 74 72 69 78 20 6f 62 6a 65 63 74 0a 20 --.........ret.:.matrix.object..
7520 20 20 20 20 20 20 20 20 20 20 20 54 68 65 20 28 6e 6f 6e 2d 63 6f 6e 6a 75 67 61 74 65 64 29 20 ...........The.(non-conjugated).
7540 74 72 61 6e 73 70 6f 73 65 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 2e 0a 0a 20 20 20 20 20 20 transpose.of.the.matrix.........
7560 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 ..See.Also.........--------.....
7580 20 20 20 20 74 72 61 6e 73 70 6f 73 65 2c 20 67 65 74 48 0a 0a 20 20 20 20 20 20 20 20 45 78 61 ....transpose,.getH..........Exa
75a0 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e mples.........--------.........>
75c0 3e 3e 20 6d 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 27 5b 31 2c 20 32 3b 20 33 2c 20 34 5d 27 29 >>.m.=.np.matrix('[1,.2;.3,.4]')
75e0 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6d 0a 20 20 20 20 20 20 20 20 6d 61 74 72 69 78 28 5b 5b .........>>>.m.........matrix([[
7600 31 2c 20 32 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 33 2c 20 34 5d 5d 29 0a 1,.2],.................[3,.4]]).
7620 20 20 20 20 20 20 20 20 3e 3e 3e 20 6d 2e 67 65 74 54 28 29 0a 20 20 20 20 20 20 20 20 6d 61 74 ........>>>.m.getT().........mat
7640 72 69 78 28 5b 5b 31 2c 20 33 5d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 5b 32 2c rix([[1,.3],.................[2,
7660 20 34 5d 5d 29 0a 0a 20 20 20 20 20 20 20 20 29 01 72 74 00 00 00 72 7d 00 00 00 73 01 00 00 00 .4]])..........).rt...r}...s....
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76a0 00 10 14 8f 7e 89 7e d3 0f 1f d0 08 1f 72 26 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 04 ....~.~......r&...c.............
76c0 00 00 00 03 00 00 00 f3 ba 00 00 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 00 6a 02 00 00 00 00 ..............t.........|.j.....
76e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ..............j.................
7700 00 00 74 06 00 00 00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ..t.........j...................
7720 ab 02 00 00 00 00 00 00 72 1e 7c 00 6a 0b 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ........r.|.j...................
7740 ab 00 00 00 00 00 00 00 6a 0d 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 ........j.......................
7760 00 00 00 00 53 00 7c 00 6a 0b 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 ....S.|.j.......................
7780 00 00 00 00 53 00 29 01 61 3a 03 00 00 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 20 74 68 ....S.).a:............Returns.th
77a0 65 20 28 63 6f 6d 70 6c 65 78 29 20 63 6f 6e 6a 75 67 61 74 65 20 74 72 61 6e 73 70 6f 73 65 20 e.(complex).conjugate.transpose.
77c0 6f 66 20 60 73 65 6c 66 60 2e 0a 0a 20 20 20 20 20 20 20 20 45 71 75 69 76 61 6c 65 6e 74 20 74 of.`self`...........Equivalent.t
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7840 20 20 4e 6f 6e 65 0a 0a 20 20 20 20 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 20 20 20 20 ..None..........Returns.........
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7880 65 63 74 0a 20 20 20 20 20 20 20 20 20 20 20 20 63 6f 6d 70 6c 65 78 20 63 6f 6e 6a 75 67 61 74 ect.............complex.conjugat
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78c0 78 61 6d 70 6c 65 73 0a 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 xamples.........--------........
78e0 20 3e 3e 3e 20 78 20 3d 20 6e 70 2e 6d 61 74 72 69 78 28 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 .>>>.x.=.np.matrix(np.arange(12)
7900 2e 72 65 73 68 61 70 65 28 28 33 2c 34 29 29 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 7a 20 3d .reshape((3,4))).........>>>.z.=
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