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Re: normalize a table


On Jan 19, 2007, at 1:01 AM, Ruth wrote:

> Hi,
>
> I want to do something really simple, which is take a table made of
> pairs and normalize the first number in each pair by dividing by the
> largest.
>
> For instance, I want to transform this list
>
> {{1,0.2},{2,0.3},{3,0.4},{4,0.5}}
>
> into this one
>
> {{1/4, 0.2}, {1/2, 0.3}, {3/4, 0.4}, {1, 0.5}}
>
> The way i did it is through the chain of commands
>
> firsttable={{1,0.2},{2,0.3},{3,0.4},{4,0.5}};
>
>
> top=Max[Table[firsttable[[i,1]],{i,1,Length[firsttable]}]];
>
>
> mytable=Do[newtable=ReplacePart[newtable,newtable[[i,1]]/top,{i,
> 1}],{i,1,Length[firsttable]}]
>
> There must be a more elegant way to do it, but @&# and commands like
> those are still hard to handle for me, and I could not work it out
>
> Thanks in advance,
>
> Ruth
>

Here is a newbie approach:

In[9]:=
({#1[[1]]/Max[tbl[[All,1]]],
     #1[[2]]} & ) /@ tbl
Out[9]=
{{1/4, 0.2}, {1/2, 0.3},
   {3/4, 0.4}, {1, 0.5}}

János


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