2x mod 1 Map
Let 
be a Rational Number in the Closed Interval 
, and generate a Sequence using theMap
 | (1) |
(for Prime) is given by | (2) |
repeating bit strings, modulo shifts). Since a typical Orbit visitseach point with equal probability, the Natural Invariant is given by | (3) |
References
Ott, E. Chaos in Dynamical Systems. Cambridge: Cambridge University Press, pp. 26-31, 1993.
- Netto's Conjecture
- Network
- Neuberg Circles
- Neumann Algebra
- Neumann Boundary Conditions
- Neumann Function
- Neumann Polynomial
- Neumann Series (Bessel Function)
- Neumann Series (Integral Equation)
- Neusis Construction
- Neville's Algorithm
- Neville Theta Function
- Newcomb's Paradox
- Newman-Conway Sequence
- Newton-Cotes Formulas
- Newtonian Form
- Newton Number
- Newton-Raphson Fractal
- Newton-Raphson Method
- Newton's Backward Difference Formula
- Newton's Diverging Parabolas
- Newton's Divided Difference Interpolation Formula
- Newton's Formulas
- Newton's Forward Difference Formula
- Newton's Identities