Quentin Anciaux skrev: > Le Thursday 29 November 2007 18:52:36 Torgny Tholerus, vous avez écrit : > >> Quentin Anciaux skrev: >> >> >>> What is the production rules of the "no"set R ? >>> >> How do you define "the set R"? >> > > http://en.wikipedia.org/wiki/Construction_of_real_numbers > > Choose your method... >
The most important part of that definition is: 4. The order ? is /complete/ in the following sense: every non-empty subset of *R* bounded above <http://en.wikipedia.org/wiki/Upper_bound> has a least upper bound <http://en.wikipedia.org/wiki/Least_upper_bound>. This definition can be translated to: "If you have a production rule that produces rational numbers that are bounded above, then this production rule is producing a real number." This is the production rule for real numbers. -- Torgny --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
