Regarding infinite sets, I simply meant that defining the problem in terms of floor() was problematic. You avoided that in your reply by using the phrases "two parts of equal size" and "two equal parts".

In my original statement of the problem, I was describing, finite, discrete sets. After all, I was saying one set had N points, the other M points. I would not be able to give a number of points if any of the sets was infinite. In my later reply, I was refering to the continuous form of the problem, in which we have continuous sets (but not necessarely connected). Then it's right to talk about two parts of equal size.

Abigail

In reply to Re: Suggestions for writing a Perl application by Abigail-II
in thread Suggestions for writing a Perl application by phax

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.