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MathGroup Archive 2006

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Re: General--Difficulties in Understanding Mathematica Syntax

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69043] Re: General--Difficulties in Understanding Mathematica Syntax
  • From: AES <siegman at stanford.edu>
  • Date: Mon, 28 Aug 2006 02:54:43 -0400 (EDT)
  • Organization: Stanford University
  • References: <ecrbsu$pc5$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <ecrbsu$pc5$1 at smc.vnet.net>,
 Bill Rowe <readnewsciv at earthlink.net> wrote:


> lBut the code with Map is simpler since I do not need to worry about 
> indexing. For example, a typical error when coding with For loops to index an 
> array is to be one off, i.e., using say greater as the stopping criteria when 
> it should have been greater than or equal. Since indexing is never explicitly 
> coded with Map, this error cannot happen.

I do agree with the underlying point in this comment.  The gimmick I've 
learned to always use with indexing is more or less the following.  If 
I'm doing a problem that involves say stepping over values of an 
independent variable  x ranging from 0 to xmax -- or more generally from 
xmin to xmax -- I start by defining an x array using

   xArray = Table[x, {xmin, xmax, (xmax-xmin)/nSteps]} ]

and then never touch a specific index or use [[ ]] notation again.  
Plotting of results is done using  

   ListPlot[Transpose[{ xArray, resultArray} ]


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