GPT-5.4 Pro: counterexample to GCI for non-centered measures https://sudonull.com/gpt-5-4-pro-counterexample-to-gci-for-non-centered-measures
GPT-5.4 Pro disproved the hypothesis of the Gaussian correlation inequality for shifted Gaussian measures. Counterexample in 2D with strips, generalization to n≥2. Solution details on solveall.org. Study for AI in mathematics.
NEES/NIS Diagnosis of Kalman Filters under Nonlinearity https://sudonull.com/nees-nis-diagnosis-of-kalman-filters-under-nonlinearity
Comparison of KF, UKF and Particle Filter under Non-Gaussian Noises and Nonlinear Dynamics. NEES and NIS Metrics for Filter Consistency Assessment.
Prime Numbers in Black Holes: Primon Gases https://sudonull.com/prime-numbers-in-black-holes-primon-gases
Learn how prime numbers and the Riemann zeta function describe black hole singularities. Primon gases, conformal symmetry, and Gaussian primes in quantum gravity. For physicists and mathematicians.
Circulants and DFT: properties and computations https://sudonull.com/circulants-and-dft-properties-and-computations
Breakdown of circulants, their connection with discrete Fourier transform, FFT and Gaussian sums. Eigenvalues, algebraic structure for developers. Study the theory and algorithms.