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MathGroup Archive 2004

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Re: Difference of numbers in the list

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45912] Re: Difference of numbers in the list
  • From: Roland Franzius <roland.franzius at uos.de>
  • Date: Thu, 29 Jan 2004 05:35:50 -0500 (EST)
  • Organization: Universitaet Hannover
  • References: <bv83mt$ie1$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

mtmtk wrote:

> I have this table:
> 
> Table[{((6.67/10^8)*157.85)/(0.225 - x)^2, (Pi^2/420^2)*x}, {x, 0.,
> 0.007245, 0.001}]
> 
> This is the output:
> 
> {{0.00020797224691358022, 0.},
>  {0.00020983328683035708, 5.595013832817097*^-8}, 
> {0.00021171941925234768, 1.1190027665634194*^-7}, 
>   {0.0002136310973135297, 1.678504149845129*^-7},
>  {0.0002155687844229233, 2.2380055331268388*^-7},
>  {0.00021753295454545455, 2.797506916408548*^-7}, 
>   {0.00021952409249181628, 3.357008299690258*^-7},
>  {0.00022154269421765846, 3.9165096829719676*^-7}}
> 
> I wanted to plot the difference of each pair but the only solution I
> could
> find was to first have two tables A and B then take A-B and try to
> plot that.
> 
> A = Table[{((6.67/10^8)*157.85)/(0.225 - x)^2}, {x, 0., 0.007245,
> 0.001}]
> 
> B = Table[{(Pi^2/420^2)*x}, {x, 0, 0.007245, 0.001}]
> 
> A - B
> 
> {{0.00020797224691358022}, 
> {0.0002097773366920289}, 
> {0.00021160751897569133}, 
> {0.00021346324689854517}, 
> {0.00021534498386961064}, 
> {0.0002172532038538137}, 
>   {0.00021918839166184726},
>  {0.00022115104324936126}}
> 
> But ListPlot will give an error for this :
> 
> "...is not a list of numbers or pairs of numbers."
> 
> When I delete the curly braces around the numbers then ListPlot works.
> 
> But this is too complicated for plotting the difference of two sets of
> numbers.
>  
> How can this be done simply? Thanks for any help.
> 

Replace the inner List by Appply-ing a Map-ped Subtract

Subtract@@@list

or Transpose the list and subtract the sublists Apply-ing Subtract for 
the outer List

Subtract@@Transpose@list


-- 

Roland Franzius


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