Noble Number
A noble number is defined as an Irrational Number which has a Continued Fraction which becomes aninfinite sequence of 1s at some point,
The prototype is the Golden Ratio
whose Continued Fraction is composed entirely of 1s, 
. Any noble number can written as
where
and 
are the Numerator and Denominator of the 
th Convergent of 
. The noble numbers are a Subfield of 
.See also Near Noble Number
References
Hardy, G. H. and Wright, E. M. An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, p. 236, 1979. Schroeder, M. ``Noble and Near Noble Numbers.'' In Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise. New York: W. H. Freeman, pp. 392-394, 1991.
- Spectrum (Operator)
- Spectrum Sequence
- Speed
- Spencer's 15-Point Moving Average
- Spence's Function
- Spence's Integral
- Sperner's Theorem
- Sphenocorona
- Sphenoid
- Sphenomegacorona
- Sphere
- Sphere-Cylinder Intersection
- Sphere Embedding
- Sphere Eversion
- Sphere Geodesic
- Sphere Packing
- Sphere Point Picking
- Sphere-Sphere Intersection
- Sphere with Tunnel
- Spherical Bessel Differential Equation
- Spherical Bessel Function
- Spherical Bessel Function of the First Kind
- Spherical Bessel Function of the Second Kind
- Spherical Bessel Function of the Third Kind
- Spherical Cap