I'm afraid you'd have to spend a bunch of time digging through math textbooks, starting with algebra-the-theoretical-subject (as opposed to what most of us sat through in 7th grade). Dig around for information on 'ring' and 'group' theory, then just keep reading the same things over and over until it all starts to sink in.
Broadly speaking, a space is a set of entities that support some kind of operation. the type of operation defines the type of space. Officially, a rational space is one that supports an 'algebra': a commutative operation known as 'addition' and a 'multiplication' operation that's transitive across addition. And just for the record, there are about a zillion other kinds of spaces that I didn't mention (like Banach spaces), because the operations in question don't have any immediate connection to programming.
Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
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:
Outside of code tags, you may need to use entities for some characters:
- a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, 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, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
Link using PerlMonks shortcuts! What shortcuts can I use for linking?
See Writeup Formatting Tips and other pages linked from there for more info.
| & || & |
| < || < |
| > || > |
| [ || [ |
| ] || ] ||