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Module calculus

Module calculus 

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§Calculus operations with dodecet encoding

Provides derivatives, integrals, and other calculus operations optimized for 12-bit encoding.

Functions§

decode_function
Decode and interpolate a dodecet lookup table
derivative
Numerical derivative using finite differences
encode_function
Encode a function as dodecet lookup table
encode_taylor_series
Encode a Taylor series as dodecets
evaluate_taylor_series
Evaluate a Taylor series from dodecet encoding
fourier_coefficients
Calculate Fourier coefficients
gradient
Gradient (vector derivative) of a scalar function
gradient_descent
Optimize using gradient descent
integral
Numerical integral using trapezoidal rule
laplacian
Laplacian (sum of second derivatives)
ode_euler
Numerical solution to ODE using Euler’s method