Roth's Theorem
For Algebraic 
with
, has finitely many solutions. Klaus Roth received a Fields Medal for this result.See also Hurwitz Equation, Hurwitz's Irrational Number Theorem, Lagrange Number (Rational Approximation),Liouville's Rational Approximation Theorem, Liouville-Roth Constant, Markov Number, Segre'sTheorem, Thue-Siegel-Roth Theorem
References
Davenport, H. and Roth, K. F. ``Rational Approximations to Algebraic Numbers.'' Mathematika 2, 160-167, 1955. Roth, K. F. ``Rational Approximations to Algebraic Numbers.'' Mathematika 2, 1-20, 1955. Roth, K. F. ``Corrigendum to `Rational Approximations to Algebraic Numbers'.'' Mathematika 2, 168, 1955.
- Orthogonal Lines
- Orthogonal Matrix
- Orthogonal Polynomials
- Orthogonal Projection
- Orthogonal Rotation Group
- Orthogonal Tensors
- Orthogonal Transformation
- Orthogonal Vectors
- Orthographic Projection
- Orthologic
- Orthonormal Basis
- Orthonormal Functions
- Orthonormal Vectors
- Orthopole
- Orthoptic Curve
- Orthotomic
- Orthotope
- Osborne's Rule
- Oscillation
- Oscillation Land
- Osculating Circle
- Osculating Curves
- Osculating Interpolation
- Osculating Plane
- Osculating Sphere