Methods and Their Scope
Current Binary Radial Kernels
The current formulation defines regular equal sectors, local chord–tangent lengths, triangular areas, and weighted kernels. Its proofs concern those definitions.
Earlier Methods
- Original Projection: a historical projection method.
- Cartesian trapezoidal construction: separate sampling and endpoint analysis.
- Core Turns: earlier angular formulation.
- Dyadic recurrence and reference code: earlier operational documentation.
Algorithm Specifications
A runnable method must identify initial values, refinement or direct evaluation, arithmetic format, outputs, and stopping conditions. A geometry identity alone is not a runtime benchmark.
Extensions
Adaptive sampling, general curves, multiple seeds, and three-dimensional constructions require their own definitions and validation. No error order or performance advantage is transferred automatically from the regular-circle proof.