For any real number 
, an irrational
number 
can be approximated by infinitely many rational
fractions 
in such a way that
 |
If 
, this becomes Hurwitz's
irrational number theorem.
Segre's Theorem
See also
Hurwitz's Irrational Number TheoremExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Segre's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SegresTheorem.html