mod.rs

1#![doc = include_str!("README.md")]23/// The Apollonian gasket: a packing grown from its root quadruple in exact integers, the Ford circles it rests on the line, and the Farey stack they shadow.4pub mod apollonian;5/// The matrix ladder: the Dirichlet series of a memory design continued through its transfer matrix, its determinant cofactor and the residues on its pole combs.6pub mod automaton;7/// The sequence blender: term ops, exact recurrences and growth rates.8pub mod blend;9/// The boolean-function measures: Walsh spectra, nonlinearity, balance and avalanche.10pub mod boolean;11/// The grid tallies: value counts and exposed faces.12pub mod census;13/// The classic sequences and the exact arithmetic under them.14pub mod classics;15/// The digit designs on the integer line: their elements, their Mobius meter, its density echo and the ordinates its spectrum carries.16pub mod design;17/// The divisor arithmetic: factorizations, divisors, radicals and the Mobius values.18pub mod factor;19/// The fast Fourier transform in one and two dimensions.20pub mod fft;21/// The elementary formulas: the partial products and sums that walk to pi, e and gamma, and the prime counts beside them.22pub mod formulas;23/// The primes of the plane: the Gaussian and the Eisenstein integers, their classes, windows and ring weights.24pub mod gauss;25/// The spatial network: its nodes, branches, extraction and census.26pub mod graph;27/// The peeled ladder: the Dirichlet series of a digit design continued to the whole plane, its Lyndon cofactor and the residues at its poles, each value carrying its bound.28pub mod ladder;29/// The visible lattice: totients, coprime pairs, the constant a dimension recovers and the Farey nodes.30pub mod lattice;31/// The memory designs: a rule on `k` consecutive digits, its transfer matrix, the words it accepts and the Perron root that is their dimension.32pub mod memory;33/// The Thue-Morse world: the digit rule, the substitution, the plane lifts, the runs and the period-doubling word.34pub mod morse;35/// The prime objects: values, ranks, gaps and the shape readings of a number.36pub mod prime;37/// The radix designs: a digit set inside the residues of a base in a ring, a unit twist per digit, and the points their words land on.38pub mod radix;39/// The infinite sums: zeta and its Dirichlet cousins, the visible count and the Bernoulli fractions.40pub mod series;41/// The punctured schedules: the Wallis sieve and its kin, their words, rasters, punctures and limits.42pub mod sieve;43/// The symmetric eigensolver and the Laplacian spectra it reads off a network.44pub mod spectrum;45/// The turntable: the exact circle means of a raster about its centre, the profile they trace and the wheel it paints.46pub mod spin;47/// The spirals: the whole numbers wound on the square and the hexagonal lattice, marked and read along a quadratic.48pub mod spiral;49/// The spirograph: a byte grid as a wheel with a pencil in every cell, rolled on a line, a circle or a polygon, and the curves it draws.50pub mod spirograph;51/// The tourbillon: the odd parity carpets turned one angle a layer and stacked inside the inscribed disc.52pub mod tourbillon;53/// The critical line: zeta at one half plus i t and off it, its zeros, the prime staircase they rebuild and the novelty meter their waves predict.54pub mod zeta;