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|00000000| 5c 73 65 63 74 69 6f 6e | 7b 63 75 6d 70 72 6f 64 |\section|{cumprod|
|00000010| 20 2d 2d 2d 20 43 75 6d | 75 6c 61 74 69 76 65 20 | --- Cum|ulative |
|00000020| 50 72 6f 64 75 63 74 7d | 0d 5c 6c 61 62 65 6c 7b |Product}|.\label{|
|00000030| 66 6e 3a 63 75 6d 70 72 | 6f 64 7d 0d 5c 69 6e 64 |fn:cumpr|od}.\ind|
|00000040| 65 78 7b 63 75 6d 70 72 | 6f 64 28 29 7d 0d 5c 69 |ex{cumpr|od()}.\i|
|00000050| 6e 64 65 78 7b 63 75 6d | 75 6c 61 74 69 76 65 20 |ndex{cum|ulative |
|00000060| 70 72 6f 64 75 63 74 7d | 0d 5c 62 65 67 69 6e 7b |product}|.\begin{|
|00000070| 72 61 69 6c 7d 0d 43 75 | 6d 50 72 6f 64 20 3a 20 |rail}.Cu|mProd : |
|00000080| 27 63 75 6d 70 72 6f 64 | 27 20 27 28 27 20 4d 61 |'cumprod|' '(' Ma|
|00000090| 74 72 69 78 20 27 29 27 | 20 3b 0d 5c 65 6e 64 7b |trix ')'| ;.\end{|
|000000a0| 72 61 69 6c 7d 0d 0d 5c | 76 65 72 62 2b 63 75 6d |rail}..\|verb+cum|
|000000b0| 70 72 6f 64 2b 20 74 61 | 6b 65 73 20 61 20 6d 61 |prod+ ta|kes a ma|
|000000c0| 74 72 69 78 20 61 72 67 | 75 6d 65 6e 74 2c 20 61 |trix arg|ument, a|
|000000d0| 6e 64 20 70 72 6f 64 75 | 63 65 73 20 61 6e 6f 74 |nd produ|ces anot|
|000000e0| 68 65 72 20 6d 61 74 72 | 69 78 0d 6f 66 20 74 68 |her matr|ix.of th|
|000000f0| 65 20 73 61 6d 65 20 64 | 69 6d 65 6e 73 69 6f 6e |e same d|imension|
|00000100| 73 2e 20 45 61 63 68 20 | 65 6c 65 6d 65 6e 74 20 |s. Each |element |
|00000110| 69 6e 20 74 68 65 20 72 | 65 73 75 6c 74 61 6e 74 |in the r|esultant|
|00000120| 20 6d 61 74 72 69 78 20 | 63 6f 6e 73 69 73 74 73 | matrix |consists|
|00000130| 20 0d 6f 66 20 74 68 65 | 20 63 75 6d 75 6c 61 74 | .of the| cumulat|
|00000140| 69 76 65 20 70 72 6f 64 | 75 63 74 20 6f 66 20 74 |ive prod|uct of t|
|00000150| 68 65 20 74 68 61 74 20 | 65 6c 65 6d 65 6e 74 20 |he that |element |
|00000160| 61 6e 64 20 61 6c 6c 20 | 70 72 65 76 69 6f 75 73 |and all |previous|
|00000170| 20 65 6c 65 6d 65 6e 74 | 73 0d 69 6e 20 74 68 61 | element|s.in tha|
|00000180| 74 20 63 6f 6c 75 6d 6e | 20 20 6f 66 20 74 68 65 |t column|  of the|
|00000190| 20 61 72 67 75 6d 65 6e | 74 20 6d 61 74 72 69 78 | argumen|t matrix|
|000001a0| 2e 20 49 66 20 74 68 65 | 20 61 72 67 75 6d 65 6e |. If the| argumen|
|000001b0| 74 20 69 73 20 65 69 74 | 68 65 72 20 61 20 72 6f |t is eit|her a ro|
|000001c0| 77 0d 6f 72 20 63 6f 6c | 75 6d 6e 20 76 65 63 74 |w.or col|umn vect|
|000001d0| 6f 72 2c 20 74 68 65 20 | 63 75 6d 75 6c 61 74 69 |or, the |cumulati|
|000001e0| 76 65 20 70 72 6f 64 75 | 63 74 20 69 73 20 70 65 |ve produ|ct is pe|
|000001f0| 72 66 6f 72 6d 65 64 20 | 6f 6e 20 74 68 61 74 20 |rformed |on that |
|00000200| 72 6f 77 20 6f 72 0d 63 | 6f 6c 75 6d 6e 2e 0d 0d |row or.c|olumn...|
|00000210| 24 5c 4c 6f 6e 67 72 69 | 67 68 74 61 72 72 6f 77 |$\Longri|ghtarrow|
|00000220| 24 20 54 68 69 73 20 69 | 73 20 6e 6f 74 20 61 6e |$ This i|s not an|
|00000230| 20 5c 52 4c 61 42 5c 20 | 62 75 69 6c 74 2d 69 6e | \RLaB\ |built-in|
|00000240| 20 66 75 6e 63 74 69 6f | 6e 2e 20 20 54 68 69 73 | functio|n.  This|
|00000250| 20 66 75 6e 63 74 69 6f | 6e 0d 69 73 20 6e 6f 72 | functio|n.is nor|
|00000260| 6d 61 6c 6c 79 20 6c 6f | 61 64 65 64 20 6f 6e 20 |mally lo|aded on |
|00000270| 73 74 61 72 74 2d 75 70 | 20 66 72 6f 6d 20 74 68 |start-up| from th|
|00000280| 65 20 5c 76 65 72 62 2b | 63 75 6d 70 72 6f 64 2e |e \verb+|cumprod.|
|00000290| 72 2b 20 66 69 6c 65 20 | 69 6e 20 74 68 65 0d 73 |r+ file |in the.s|
|000002a0| 74 61 6e 64 61 72 64 20 | 5c 76 65 72 62 2b 72 6c |tandard |\verb+rl|
|000002b0| 69 62 2b 20 64 69 72 65 | 63 74 6f 72 79 2e 20 55 |ib+ dire|ctory. U|
|000002c0| 73 65 20 6f 66 20 74 68 | 65 20 5c 76 65 72 62 2b |se of th|e \verb+|
|000002d0| 2d 72 2b 20 6f 70 74 69 | 6f 6e 2c 20 69 6e 63 6f |-r+ opti|on, inco|
|000002e0| 72 72 65 63 74 6c 79 20 | 0d 73 65 74 74 69 6e 67 |rrectly |.setting|
|000002f0| 20 74 68 65 20 5c 76 65 | 72 62 2b 52 4c 41 42 5f | the \ve|rb+RLAB_|
|00000300| 4c 49 42 5f 44 49 52 2b | 20 65 6e 76 69 72 6f 6e |LIB_DIR+| environ|
|00000310| 6d 65 6e 74 61 6c 20 76 | 61 72 69 61 62 6c 65 2c |mental v|ariable,|
|00000320| 20 6f 72 20 6d 6f 64 69 | 66 79 69 6e 67 0d 5c 76 | or modi|fying.\v|
|00000330| 65 72 62 2b 63 75 6d 70 | 72 6f 64 2e 72 2b 20 6d |erb+cump|rod.r+ m|
|00000340| 61 79 20 6d 61 6b 65 20 | 74 68 69 73 20 66 75 6e |ay make |this fun|
|00000350| 63 74 69 6f 6e 20 75 6e | 61 76 61 69 6c 61 62 6c |ction un|availabl|
|00000360| 65 2e 0d 0d 0d 5c 70 61 | 72 61 67 72 61 70 68 7b |e....\pa|ragraph{|
|00000370| 45 78 61 6d 70 6c 65 7d | 0d 5c 69 6e 64 65 78 7b |Example}|.\index{|
|00000380| 65 78 61 6d 70 6c 65 20 | 6f 66 20 63 75 6d 70 72 |example |of cumpr|
|00000390| 6f 64 28 29 7d 0d 5c 69 | 6e 64 65 78 7b 63 75 6d |od()}.\i|ndex{cum|
|000003a0| 70 72 6f 64 28 29 21 65 | 78 61 6d 70 6c 65 7d 0d |prod()!e|xample}.|
|000003b0| 5c 62 65 67 69 6e 7b 76 | 65 72 62 61 74 69 6d 7d |\begin{v|erbatim}|
|000003c0| 0d 3e 20 63 75 6d 70 72 | 6f 64 28 31 3a 35 29 0d |.> cumpr|od(1:5).|
|000003d0| 20 20 20 20 20 20 20 20 | 31 20 20 20 20 20 20 20 |        |1       |
|000003e0| 20 20 20 32 20 20 20 20 | 20 20 20 20 20 20 36 20 |   2    |      6 |
|000003f0| 20 20 20 20 20 20 20 20 | 32 34 20 20 20 20 20 20 |        |24      |
|00000400| 20 20 31 32 30 20 20 0d | 3e 20 63 75 6d 70 72 6f |  120  .|> cumpro|
|00000410| 64 28 5b 31 2c 32 2c 33 | 2c 34 5d 27 29 0d 20 20 |d([1,2,3|,4]').  |
|00000420| 20 20 20 20 20 20 31 20 | 20 0d 20 20 20 20 20 20 |      1 | .      |
|00000430| 20 20 32 20 20 0d 20 20 | 20 20 20 20 20 20 36 20 |  2  .  |      6 |
|00000440| 20 0d 20 20 20 20 20 20 | 20 32 34 20 20 0d 3e 20 | .      | 24  .> |
|00000450| 63 20 3d 20 5b 31 2c 32 | 2c 33 3b 20 34 2c 35 2c |c = [1,2|,3; 4,5,|
|00000460| 36 3b 20 31 30 2c 20 2d | 33 2e 34 2c 20 32 2e 30 |6; 10, -|3.4, 2.0|
|00000470| 39 5d 0d 20 63 20 3d 0d | 20 20 20 20 20 20 20 20 |9]. c =.|        |
|00000480| 31 20 20 20 20 20 20 20 | 20 20 20 32 20 20 20 20 |1       |   2    |
|00000490| 20 20 20 20 20 20 33 20 | 20 0d 20 20 20 20 20 20 |      3 | .      |
|000004a0| 20 20 34 20 20 20 20 20 | 20 20 20 20 20 35 20 20 |  4     |     5  |
|000004b0| 20 20 20 20 20 20 20 20 | 36 20 20 0d 20 20 20 20 |        |6  .    |
|000004c0| 20 20 20 31 30 20 20 20 | 20 20 20 20 2d 33 2e 34 |   10   |    -3.4|
|000004d0| 20 20 20 20 20 20 20 32 | 2e 30 39 20 20 0d 3e 20 |       2|.09  .> |
|000004e0| 63 75 6d 70 72 6f 64 28 | 63 29 0d 20 20 20 20 20 |cumprod(|c).     |
|000004f0| 20 20 20 31 20 20 20 20 | 20 20 20 20 20 20 32 20 |   1    |      2 |
|00000500| 20 20 20 20 20 20 20 20 | 20 33 20 20 0d 20 20 20 |        | 3  .   |
|00000510| 20 20 20 20 20 34 20 20 | 20 20 20 20 20 20 20 31 |     4  |       1|
|00000520| 30 20 20 20 20 20 20 20 | 20 20 31 38 20 20 0d 20 |0       |  18  . |
|00000530| 20 20 20 20 20 20 34 30 | 20 20 20 20 20 20 20 20 |      40|        |
|00000540| 2d 33 34 20 20 20 20 20 | 20 20 33 37 2e 36 20 20 |-34     |  37.6  |
|00000550| 0d 3e 20 64 20 3d 20 5b | 32 2e 33 2b 34 6a 2c 20 |.> d = [|2.3+4j, |
|00000560| 35 2d 34 6a 2c 33 2e 32 | 36 35 34 2b 33 34 2e 35 |5-4j,3.2|654+34.5|
|00000570| 6a 5d 0d 20 64 20 3d 0d | 20 6d 61 74 72 69 78 20 |j]. d =.| matrix |
|00000580| 63 6f 6c 75 6d 6e 73 20 | 31 20 74 68 72 75 20 33 |columns |1 thru 3|
|00000590| 0d 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|000005a0| 20 32 2e 33 20 2b 20 34 | 69 20 20 20 20 20 20 20 | 2.3 + 4|i       |
|000005b0| 20 20 20 20 20 20 20 20 | 20 20 20 35 20 2d 20 34 |        |   5 - 4|
|000005c0| 69 20 20 20 20 20 20 20 | 20 20 20 20 20 33 2e 32 |i       |     3.2|
|000005d0| 37 20 2b 20 33 34 2e 35 | 69 0d 0d 3e 20 63 75 6d |7 + 34.5|i..> cum|
|000005e0| 70 72 6f 64 28 64 29 0d | 20 6d 61 74 72 69 78 20 |prod(d).| matrix |
|000005f0| 63 6f 6c 75 6d 6e 73 20 | 31 20 74 68 72 75 20 33 |columns |1 thru 3|
|00000600| 0d 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00000610| 20 32 2e 33 20 2b 20 34 | 69 20 20 20 20 20 20 20 | 2.3 + 4|i       |
|00000620| 20 20 20 20 20 32 37 2e | 35 20 2b 20 31 30 2e 38 |     27.|5 + 10.8|
|00000630| 69 20 20 20 20 20 20 20 | 20 20 20 20 20 20 2d 32 |i       |      -2|
|00000640| 38 33 20 2b 20 39 38 34 | 69 0d 5c 65 6e 64 7b 76 |83 + 984|i.\end{v|
|00000650| 65 72 62 61 74 69 6d 7d | 0d 0d 53 65 65 20 61 6c |erbatim}|..See al|
|00000660| 73 6f 3a 20 50 61 67 65 | 7e 5c 70 61 67 65 72 65 |so: Page|~\pagere|
|00000670| 66 7b 66 6e 3a 63 75 6d | 73 75 6d 7d 20 5c 76 65 |f{fn:cum|sum} \ve|
|00000680| 72 62 2b 63 75 6d 73 75 | 6d 28 29 2b 2e 0d 0d 5c |rb+cumsu|m()+...\|
|00000690| 6e 65 77 70 61 67 65 0d | 0d 0d 0d 0d 0d 0d 0d    |newpage.|....... |
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