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calculus-of-variations

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The calculus underpinning modern machine learning, built from scratch in pure NumPy. 8-week masterclass: ε–δ limits, complex-step differentiation, forward- & reverse-mode autodiff (backprop) from scratch, multivariate/matrix/vector calculus, and the calculus of variations — every result verified against analytic truth. Fully executed notebooks.

  • Updated May 30, 2026
  • Jupyter Notebook
Catenary-curve-variational-method

Educational Python project demonstrating the variational derivation of the catenary curve and Newton’s method for solving the resulting nonlinear equation, with calculation of tension and tensile stress.

  • Updated Jun 24, 2026
  • Python
Catenary-curve-variational-method

Educational Python project demonstrating the variational derivation of the catenary curve and Newton’s method for solving the resulting nonlinear equation, with calculation of tension and tensile stress.

  • Updated Jun 24, 2026
  • Python

World's first 4D & 5D Kakeya datasets. Two independent numerical paths (logarithmic & pure polynomial GL) validate a variational proof framework. A proof-of-concept for Information Dynamics.

  • Updated May 4, 2026
  • Python

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