       Re: Map and functional constructs to replace iterative

• To: mathgroup at smc.vnet.net
• Subject: [mg96848] Re: [mg96783] Map and functional constructs to replace iterative
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Thu, 26 Feb 2009 07:54:18 -0500 (EST)
• Reply-to: hanlonr at cox.net

```percentChange[currentValue_, previousValue_] :=

100*(currentValue - previousValue)/previousValue

data = {v1, v2, v3, v4};

percentChange @@@ Reverse /@ Partition[data, 2, 1]

{(100*(v2 - v1))/v1, (100*(v3 - v2))/v2, (100*(v4 - v3))/v3}

100*ListCorrelate[{-1, 1}, data]/Most[data]

{(100*(v2 - v1))/v1, (100*(v3 - v2))/v2, (100*(v4 - v3))/v3}

% == %%

True

Bob Hanlon

---- Andreas <aagas at ix.netcom.com> wrote:

=============
I have begun to replace Table, Do, While, or For, but in my thinking with Map, Inner, Outer and other functional programming constructs as I learn more about Mathematica.

But, I'm stuck.  I need to figure out how to use Map (or some related approach) when a function needs both a current value and a previous value in a time series, such as a percentage change function (or perhaps more generally stated, when I need to refer to previous values in a series or even previous calculations).  But first a simple case:

percentChange[currentValue_, previousValue_] := 100 * ( currentValue - previousValue) / previousValue

I know how to apply this iteratively, but how can I do it with Map or some other functional construct?

Say I have a list: timeSeries

I thought to try something like this:

Map[percentChange[?,?], timeSeries]

but I don't know how what to put in for "?".

Any help much appreciated.

Thx.

```

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