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Continued Fraction

5 resources tagged “Continued Fraction” across the knowledge library.

5 items

Article7 Aug 2026Reduction of Indefinite Forms and the Cycle StructureReduction of indefinite binary forms, the cycle of reduced forms in each class, and how the cycle encodes the regulator.2 min readRead More Article7 Aug 2026Shanks's Square Forms Factorisation (SQUFOF)SQUFOF: factoring by finding a square form in the cycle of an indefinite quadratic form, and why it excels for small inputs.2 min readRead More Article7 Aug 2026The Continued Fraction Factorisation MethodCFRAC: generating small quadratic residues from the continued fraction expansion, and the congruence-of-squares framework it established.2 min readRead More Article7 Aug 2026The Fundamental Unit of a Real Quadratic FieldComputing the fundamental unit of a real quadratic field by continued fractions, its connection to the Pell equation, and its size.2 min readRead More Guide6 Aug 2026Shanks's SQUFOF Factoring MethodThe SQUFOF algorithm: continued fraction expansion of the square root, square forms, the reverse cycle, multipliers, and why it excels in a narrow but important range.4 min readRead More