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Groups > comp.soft-sys.math.mathematica > #1873

Short-cut for reiteration, via postfix usage of Table as pure

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Infix notation saves another keystroke and seems a little more intuitive to
me:
Graphics[
 Line[{{0, 10 - k}, {k, 0}}] // #~Table~{k, 0, 9} &
]

Or, using the definition (to be put in the initialization file)

T = Table;

we have:

Graphics[
 Line[{{0, 10 - k}, {k, 0}}] // #~T~{k, 0, 9} &
]

We can read this as "lines going from {0, 10 - k} to {k, 0} where k goes
from 0 to 9".

In the case of Line[ ], which accepts a list of points, we can shorten
things even more, to,

Graphics[
 Line[{{0, 10 - k}, {k, 0}}~Table~{k, 0, 9}]
]

This is with the standard infix notation involving the tilde, "~".

With "T" defined as Table, we've got things down to a reasonable number of
keystrokes:

Graphics[
 Line[{{0, 10 - k}, {k, 0}}~T~{k, 0, 9}]
 ]

>> I have the following bit of graphics:
>> 
>>    Graphics[{
>>   Line[{{0, 10}, {1, 0}}],
>>   Line[{{0, 9}, {2, 0}}],
>>   Line[{{0, 8}, {3, 0}}],
>>   Line[{{0, 7}, {4, 0}}],
>>   Line[{{0, 6}, {5, 0}}],
>>   Line[{{0, 5}, {6, 0}}],
>>   Line[{{0, 4}, {7, 0}}],
>>   Line[{{0, 3}, {8, 0}}],
>>   Line[{{0, 2}, {9, 0}}],
>>   Line[{{0, 1}, {10, 0}}],
>>   }]
>> 
>> 
>> I want to simplify it to do some sort of iteration to compute the end points
>> of the lines. I can do this easily in a variety of procedural languages but
>> I haven't yet grokked how Mathematica would do this.

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Thread

How to roll up multiple Line calls into a loop Sol Lederman <sol.lederman@gmail.com> - 2011-04-22 09:41 +0000
  Re: How to roll up multiple Line calls into a loop Dan <dflatin@rcn.com> - 2011-04-23 11:50 +0000
    Re: How to roll up multiple Line calls into a loop "Christopher O. Young" <cy56@comcast.net> - 2011-04-25 11:29 +0000
  Re: How to roll up multiple Line calls into a loop Albert Retey <awnl@gmx-topmail.de> - 2011-04-23 11:51 +0000
  Re: How to roll up multiple Line calls into a loop "Christopher O. Young" <cy56@comcast.net> - 2011-04-23 11:51 +0000
  Re: How to roll up multiple Line calls into a loop Helen Read <readhpr@gmail.com> - 2011-04-23 11:51 +0000
  Re: How to roll up multiple Line calls into a loop Peter Pein <petsie@dordos.net> - 2011-04-23 11:52 +0000
  Re: How to roll up multiple Line calls into a loop roby <roby.nowak@gmail.com> - 2011-04-23 11:52 +0000
  Re: How to roll up multiple Line calls into a loop Yves Klett <yves.klett@googlemail.com> - 2011-04-24 12:24 +0000
    Short-cut for reiteration, via postfix usage of Table as pure "Christopher O. Young" <cy56@comcast.net> - 2011-04-25 11:27 +0000
    Short-cut for reiteration, via postfix usage of Table as pure "Christopher O. Young" <cy56@comcast.net> - 2011-04-25 11:27 +0000
      Re: Short-cut for reiteration, via postfix usage of Table as pure Peter Pein <petsie@dordos.net> - 2011-04-26 10:51 +0000
      Re: Short-cut for reiteration, via postfix usage of Table as pure Peter Pein <petsie@dordos.net> - 2011-04-26 10:50 +0000
        Re: Short-cut for reiteration. Concise, readable symbols and "Christopher O. Young" <cy56@comcast.net> - 2011-04-27 09:38 +0000

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