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- Basic combinatorics (generation and enumeration)
- Basic number theory and finite fields (computational and algebraic aspects)
- q-series, modular equations, functional equations
- Iteration schemes for root-finding (Newton's method and higher order algorithms)
- Fast orthogonal transforms (Fourier-, Hartley-, Walsh-Hadamard-, and similar transforms)
- Low level and arithmetical algorithms
- Plane-filling curves
