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Re: General--Difficulties in Understanding Mathematica Syntax

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  • Subject: [mg69006] Re: General--Difficulties in Understanding Mathematica Syntax
  • From: AES <siegman at>
  • Date: Sat, 26 Aug 2006 02:04:53 -0400 (EDT)
  • Organization: Stanford University
  • References: <echdk4$oir$> <ecmgpr$9b3$>
  • Sender: owner-wri-mathgroup at

In article <ecmgpr$9b3$1 at>,
 Jean-Marc Gulliet <jeanmarc.gulliet at> wrote:

> Now, it is utterly better to use high-level constructs such as Map, 
> Thread, Apply, ... when you code in Mathematica.

I don't exactly quarrel with this -- but I sure don't fully accept it 

Concepts like Map[ ], Thread[ ], Apply[ ] are thoroughly understood by 
adepts, and marginally understood by some of the rest of us.  They're 
not concepts, or terms, commonly used in everyday speech.  And they may 
have some hidden subtleties in their operation, even some "gotchas", in 
how they apply to what's inside the [ ]s.

Constructs like Do[] , If[ ], While[ ] are fairly likely to be 
understood not just by adepts, but by anyone who's ever done even very 
elementary programming in (horrors!) BASIC.  Their programming use 
matches up pretty well with the same terms in everyday speech.  They 
make the flow of the program logic more obviously visible (at least to 
us non-adepts).  And I suspect they have fewer hidden gotchas.

Writing complex Mathematica expressions as dense, deeply nested, 
sometimes lengthy expressions full of arcane shorthands ("\\@", etc) is 
akin to writing dense, arcane, possible lengthy prose sentences full of 
arcane terminology.  Writing them as short, crisp, clear constructs, one 
task at a time, is like writing short, crisp, clear prose sentences.  
The people who construct "readability indexes" for prose have some 
opinions about this.

[We all, of course, fondly remember APL:  "Code once, read or modify 

What is it that's actually **better** (for the "ordinaryt user") about 
these more sophisticated constructs?  

*  Readability? -- except for adepts, I don't think so.  

*  Faster, more efficient execution? -- perhaps so, but in the vast 
majority of cases, who cares?!?

*  More accurate execution?  -- I sure hope not.

*  Shorter code (fewer characters)? -- again, who cares?!?

*  Bragging rights (I can accomplish the task with fewer characters than 
anyone around)? -- Well, that was a very salable skill, in magnetic core 
and assembly language days.

Again, to each his own.  Part of the genius of Mathematica is that it 
serves the novice user and the sophisticated adept.  But "better"?

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