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Newton vs Einstein in the solar system: a simulator
A Python solar-system simulator that integrates the planets with Newtonian gravity and then with General Relativity, and measures the difference — Mercury's famous 43 arcseconds per century come out of the simulation itself, together with the planets' 530", light bending, the Shapiro delay, and the small effects that compete with GR
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Quantum theory of scattering by a central potential
A complete d-dimensional treatment of quantum scattering by a central potential — from hyperspherical harmonics and Bessel functions to phase shifts, cross sections, and specific potentials
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Quantum computing simulations with Qiskit
A tour through quantum gates, entanglement, key algorithms (Grover, QPE, Shor), variational and adiabatic optimisation (VQE, QAOA, QAA), and error correction — all simulated on a classical computer
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Black-Scholes equation
Derivation and solution of the Black-Scholes equation for option pricing
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Bxf7+: A Bishop Sacrifice in the Italian Game
Analysis of an attacking game featuring a classic bishop sacrifice, rook domination, and a back-rank mate