Babai Rounding and Closest Vector Problems
A detailed guide to babai rounding and closest vector problems. Covers key methods, mathematical significance, and real-world applications.
Mathematics Category
Continued Fractions
50 articles
≈ 500 min total reading
Best Approximation of Second Kind and Convergents
A detailed guide to best approximation of second kind and convergents. Covers key methods, mathematical significance, and real-world applications.
Biased Continued Fractions and Generalized Algorithms
A detailed guide to biased continued fractions and generalized algorithms. Covers key methods, mathematical significance, and real-world applications.
Canonical Continued Fraction and Cyclic Algorithms
A detailed guide to canonical continued fraction and cyclic algorithms. Covers key methods, mathematical significance, and real-world applications.
Cantor Expansion and Factorial Number System
A detailed guide to cantor expansion and factorial number system. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions and Binary Quadratic Forms
A detailed guide to continued fractions and binary quadratic forms. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions and Elliptic Curve Arithmetic
A detailed guide to continued fractions and elliptic curve arithmetic. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions and Function Field Analogues
A detailed guide to continued fractions and function field analogues. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions and the Golden Ratio
A detailed guide to continued fractions and the golden ratio. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions and the Pell Equation Connection
A detailed guide to continued fractions and the pell equation connection. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions and the Stern-Brocot Representation
A detailed guide to continued fractions and the stern-brocot representation. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions and the Thue-Siegel-Roth Theorem
A detailed guide to continued fractions and the thue-siegel-roth theorem. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions for Irrational Constants
A detailed guide to continued fractions for irrational constants. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions in Cryptographic Applications
A detailed guide to continued fractions in cryptographic applications. Covers key methods, mathematical significance, and real-world applications.
Continued Fractions in Dynamical Systems and Ergodic Theory
A detailed guide to continued fractions in dynamical systems and ergodic theory. Covers key methods, mathematical significance, and real-world applications
Convergents and Best Rational Approximations
A detailed guide to convergents and best rational approximations. Covers key methods, mathematical significance, and real-world applications.
Engel Expansion and Egyptian Fractions
A detailed guide to engel expansion and egyptian fractions. Covers key methods, mathematical significance, and real-world applications.
Equivalence Classes of Continued Fractions
A detailed guide to equivalence classes of continued fractions. Covers key methods, mathematical significance, and real-world applications.
Euclidean Algorithm and Continued Fraction Connection
A detailed guide to euclidean algorithm and continued fraction connection. Covers key methods, mathematical significance, and real-world applications.
Farey Sequence and Mediant Approximation Theorem
A detailed guide to farey sequence and mediant approximation theorem. Covers key methods, mathematical significance, and real-world applications.
Gauss-Kuzmin Statistics and Partial Quotient Distribution
A detailed guide to gauss-kuzmin statistics and partial quotient distribution. Covers key methods, mathematical significance, and real-world applications.
Hermite Algorithm and Simultaneous Approximation
A detailed guide to hermite algorithm and simultaneous approximation. Covers key methods, mathematical significance, and real-world applications.
Hermite Continued Fraction and Simultaneous Irrationality
A detailed guide to hermite continued fraction and simultaneous irrationality. Covers key methods, mathematical significance, and real-world applications.
Hermite-Lindemann Theorem and Transcendental Number Proofs
A detailed guide to hermite-lindemann theorem and transcendental number proofs. Covers key methods, mathematical significance, and real-world applications.
Higher Dimensional Continued Fractions Methods
A detailed guide to higher dimensional continued fractions methods. Covers key methods, mathematical significance, and real-world applications.
Hurwitz Theorem and Approximation by Rationals
A detailed guide to hurwitz theorem and approximation by rationals. Covers key methods, mathematical significance, and real-world applications.
Jacobi-Perron Algorithm and Higher Dimensions
A detailed guide to jacobi-perron algorithm and higher dimensions. Covers key methods, mathematical significance, and real-world applications.
Kepler Equation and Continued Fraction Solutions
A detailed guide to kepler equation and continued fraction solutions. Covers key methods, mathematical significance, and real-world applications.
Kepler-Mathews Continued Fraction and Complex Analysis
A detailed guide to kepler-mathews continued fraction and complex analysis. Covers key methods, mathematical significance, and real-world applications.
Khinchin Constant and Statistical Properties of Quotients
A detailed guide to khinchin constant and statistical properties of quotients. Covers key methods, mathematical significance, and real-world applications.
Lagrange Spectrum and Approximation Constants
A detailed guide to lagrange spectrum and approximation constants. Covers key methods, mathematical significance, and real-world applications.
Lamprecht Continued Fraction and Parameterized Families
A detailed guide to lamprecht continued fraction and parameterized families. Covers key methods, mathematical significance, and real-world applications.
Lattice Reduction and Continued Fraction Algorithms
A detailed guide to lattice reduction and continued fraction algorithms. Covers key methods, mathematical significance, and real-world applications.
Levy Constant and Convergence Rate of Convergents
A detailed guide to levy constant and convergence rate of convergents. Covers key methods, mathematical significance, and real-world applications.
Lorenz Continued Fraction and Functional Equations
A detailed guide to lorenz continued fraction and functional equations. Covers key methods, mathematical significance, and real-world applications.
Markoff Numbers and Lagrange Spectrum
A detailed guide to markoff numbers and lagrange spectrum. Covers key methods, mathematical significance, and real-world applications.
Minkowski Question Mark Function and Continued Fractions
A detailed guide to minkowski question mark function and continued fractions. Covers key methods, mathematical significance, and real-world applications.
Niederreiter Sequence and Quasi Monte Carlo Methods
A detailed guide to niederreiter sequence and quasi monte carlo methods. Covers key methods, mathematical significance, and real-world applications.
Ostrowski Numeration and Cantor Base Representations
A detailed guide to ostrowski numeration and cantor base representations. Covers key methods, mathematical significance, and real-world applications.
Periodic Continued Fractions and Quadratic Irrationals
A detailed guide to periodic continued fractions and quadratic irrationals. Covers key methods, mathematical significance, and real-world applications.
Periodic Continued Fractions for Quadratic Surds
A detailed guide to periodic continued fractions for quadratic surds. Covers key methods, mathematical significance, and real-world applications.
Perron Algorithm and continued fraction Convergence
A detailed guide to perron algorithm and continued fraction convergence. Covers key methods, mathematical significance, and real-world applications.
Pierce Expansion and Binary Representations
A detailed guide to pierce expansion and binary representations. Covers key methods, mathematical significance, and real-world applications.
Rényi Divergence and Continued Fraction Information
A detailed guide to rényi divergence and continued fraction information. Covers key methods, mathematical significance, and real-world applications.
Rogers-Ramanujan Identities and Continued Fractions
A detailed guide to rogers-ramanujan identities and continued fractions. Covers key methods, mathematical significance, and real-world applications.
Schneider-Lange Continued Fraction and Transcendental Proofs
A detailed guide to schneider-lange continued fraction and transcendental proofs. Covers key methods, mathematical significance, and real-world application
Sieve Methods and Continued Fraction Connections
A detailed guide to sieve methods and continued fraction connections. Covers key methods, mathematical significance, and real-world applications.
Simple Continued Fractions and Infinite Expansions
A detailed guide to simple continued fractions and infinite expansions. Covers key methods, mathematical significance, and real-world applications.
Stern-Brocot Tree and Mediant Construction
A detailed guide to stern-brocot tree and mediant construction. Covers key methods, mathematical significance, and real-world applications.
Størmer Theorem and Consecutive Smooth Numbers
A detailed guide to størmer theorem and consecutive smooth numbers. Covers key methods, mathematical significance, and real-world applications.