10054
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Enumerating the Rationals
The rational numbers can be arranged in a sequence, so that it is possible to speak of a first rational number, a second rational number, and, in general, an
rational number, for any positive integer
.
Contributed by:
Matthew Szudzik
SNAPSHOTS
DETAILS
For a more in-depth discussion of the countability of positive rational numbers, see
this article
.
RELATED LINKS
Rational Number
(
Wolfram
MathWorld
)
Countably Infinite
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Enumerating the Rationals
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EnumeratingTheRationals/
Contributed by:
Matthew Szudzik
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Epsilon-Delta Definition of Limit
Ferenc Beleznay
Iterating Rational Functions
Philip Lee
Stern-Brocot Tree
Michael Schreiber
Dedekind Cut
Michael Schreiber
Calkin-Wilf Tree of Fractions
Ken Caviness
Multipoint Padé Approximants
Blazej Radzimirski
A Path through the Lattice Points in a Quadrant
George Beck
Other Formulations of the Collatz Problem
Enrique Zeleny
Flett's Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Comparing Measures of Line Jaggedness
Mark D. Normand and Micha Peleg
Related Topics
Foundations of Mathematics
Real Analysis
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+