RE: Create a cumulative list

• To: mathgroup at smc.vnet.net
• Subject: [mg93369] RE: [mg93346] Create a cumulative list
• From: "Wolf, Hartmut" <Hartmut.Wolf at t-systems.com>
• Date: Wed, 5 Nov 2008 04:53:57 -0500 (EST)

```Philipp,

FoldList applies here:

In[1]:= values = Range[9]
Out[1]= {1, 2, 3, 4, 5, 6, 7, 8, 9}

In[2]:= FoldList[Plus, 0, values] // Rest
Out[2]= {1, 3, 6, 10, 15, 21, 28, 36, 45}

If you want to incorporate a criterium just replace Plus by the pure =
function:

If[crit[x = Plus[##]], x, 0] &

In[5]:= crit[x_] := -0.002 =98 x =98 0.002

In[6]:= c = FoldList[If[crit[x = Plus[##]], x, 0] &, 0, ValueList] =
// Rest
Out[6]=
{0, -0.000654511, 0, 0.00103598, -0.00009301, 0, 0, 0, 0, 0, 0, =
-0.00140056, \
0, 0, 0, 0, 0.000289855, 0.000579626, -0.000772244, 0}

--
Hartmut

>-----Original Message-----
>Sent: Tuesday, November 04, 2008 12:20 PM
>To: mathgroup at smc.vnet.net
>Subject: [mg93346] Create a cumulative list
>
>Hi to all,
>
>I have a problem creating a program in Mathematica and I can't find
>how to do it. Actually, I found a way to find my answer, but it takes
>59 lines ... and I need this kind of thing 4 times.
>
>So here is my problem. I have a list of values let's say ValueList =
>{1,2,3,4,5,6,7,8,9}
>What I want is Compilation = {1,3,6,10,15,21,28,36,45} created in
>adding Compilation[[1]] with ValueList[[2]] to create
>Compilation[[2]]. In the same way, Compilation[[7]] = =
Compilation[[6]]
>+ ValueList[[7]].
>
>If that wasn't enough, I need to add a difficulty to that. If, at any
>time, a value of Compilation[[i]] is bigger that XYZ, then that
>Compilation[[i]] should be equal to 0.
>
>To help you understand (sorry but English is not my first language and
>explaining it in my first language is already tough), here is the
>results I am looking for.
>
>My ValueList = {0.0032833, -0.000654511, -0.0065494, 0.00103598,
>-0.00112899, 0.00386173, 0.00365922, 0.00551557, -0.0138527,
>0.00471387, 0.00497326, -0.00140056, -0.00187003, -0.0195785,
>-0.00210204, -0.00900038, 0.000289855, 0.000289771, -0.00135187,
>0.00386772}
>My Compilation = {0, -0.000654511, 0, 0.00103598, -0.0000930101, 0, =
0,
>0, 0, 0, 0, -0.00140056, 0, 0, 0, 0, 0.000289855, 0.000579626,
>-0.000772247, 0}
>and the additionnal criteria is >0.002 and <-0.002  (or >0.002 in
>absolute value)
>
>If anyone can help me please.
>
>Thanks
>
>

```

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