Liouville Number
A Liouville number is a Transcendental Number which has very close Rational Number approximations. An IrrationalNumber 
is a Liouville number if, for any 
, there exist an infinite number of pairs of Integers 
and 
such that
Mahler (1953) proved that
is not a Liouville number.See also Liouville's Constant, Liouville's Rational Approximation Theorem, Roth's Theorem, TranscendentalNumber
References
Mahler, K. ``On the Approximation of .'' Nederl. Akad. Wetensch. Proc. Ser. A. 56/Indagationes Math. 15, 30-42, 1953.
- Buckminster Fuller Dome
- Buffon-Laplace Needle Problem
- Buffon's Needle Problem
- Bulirsch-Stoer Algorithm
- Bullet Nose
- Bumping Algorithm
- Bundle
- Burau Representation
- Burkhardt Quartic
- Burnside Problem
- Burnside's Conjecture
- Burnside's Lemma
- Busemann-Petty Problem
- Busy Beaver
- Small Multiple Method
- Small Number
- Small Retrosnub Icosicosidodecahedron
- Small Rhombicosidodecahedron
- Small Rhombicuboctahedron
- Small Rhombidodecacron
- Small Rhombidodecahedron
- Small Rhombihexacron
- Small Rhombihexahedron
- Small Snub Icosicosidodecahedron
- Small Stellapentakis Dodecahedron