Tag
Regulator
7 resources tagged “Regulator” across the knowledge library.
7 items
Article7 Aug 2026Class Group and Unit Computation: the Computational ProblemWhy class group and unit computation are a single problem, what the combined algorithm produces, and how the results are verified.2 min readRead MoreArticle7 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 MoreArticle7 Aug 2026Regulator and Fundamental Unit RecoveryExtracting fundamental units and the regulator from the kernel of the relation matrix, and confirming the unit system is fundamental.2 min readRead MoreArticle7 Aug 2026The Four Core Computational Tasks of Number FieldsThe four fundamental computational problems for a number field, their dependencies, and what counts as a complete answer to each.4 min readRead MoreArticle7 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 MoreArticle7 Aug 2026The Regulator: Definition and ComputationThe regulator as the covolume of the unit lattice, its computation, and the precision and verification it demands.2 min readRead MoreGuide6 Aug 2026Real Quadratic Fields and the Infrastructure MethodRegulators and fundamental units of real quadratic fields, the continued fraction algorithm, the exponential cost problem, and Shanks's infrastructure with the distance function.5 min readRead More