Applied Mathematics

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5 domain-specific abstractions whose origin domain is Applied Mathematics.

• Harmonic Balance — Approximate a nonlinear system's periodic steady state by a truncated Fourier series and solve for coefficients whose retained residual harmonics balance to zero.
• Moment matrix — A symmetric matrix indexed by monomials whose entry at two indices is the moment associated with their product, encoding a moment sequence and positivity constraints.
• Radial basis function — A function whose value depends only on distance from a center, used as a localized basis for interpolation, approximation, and learning.
• Sombrero function — The radial two-dimensional analogue of sinc, commonly defined as 2J1(πρ)/(πρ), and arising as the Fourier transform of a circular aperture.
• Trilateration — Locate an unknown point by intersecting distance constraints from known reference points, using redundant ranges and an uncertainty model when real measurements do not meet at one exact solution.