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Re: How to subtract two sets of data for a ListPlot


chuck009 wrote:
> Hi all.  Suppose I've calculated two sets of lists of the form for example:
> 
> list1={{1,1},{2,2},{3,3}};
> 
> list2={{1,1},{2,4},{3,9}};
> 
> What's an efficient way to create a third list with the same x-values but with the y-values subtracted
> 
> newlist={{1,0},{2,-2},{3,-6}};
> 
> I realize I can manually subtract them in a For-loop, but I'm sure a one-line command using Map or some other construct can be used as well but can't figure it out.
> 
> Thanks!
> 

Several possibilities are illustrated below.

In[1]:=
list1 = {{1, 1}, {2, 2}, {3, 3}};
list2 = {{1, 1}, {2, 4}, {3, 9}};

Module[{temp = list2}, temp[[All, 1]] = 0; list1 - temp]

({#1[[1, 1]], #1[[1, 2]] - #1[[2, 2]]} & ) /@ Thread[{list1, list2}]

Transpose[{list1[[All, 1]], (list1 - list2)[[All, 2]]}]

Transpose[{list1[[All, 1]], list1[[All, 2]] - list2[[All, 2]]}]

Out[3]= {{1, 0}, {2, -2}, {3, -6}}

Out[4]= {{1, 0}, {2, -2}, {3, -6}}

Out[5]= {{1, 0}, {2, -2}, {3, -6}}

Out[6]= {{1, 0}, {2, -2}, {3, -6}}

Regards,
Jean-Marc


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