Publication Date: 2023/09/08
Abstract: In particular, probability and statistics are a missing part of mathematics and classical theoretical physics. The introduction of the stochastic transition matrix B proposed by the Cairo Physical Technique suggests that probability and statistics should belong to physics rather than mathematics. We first study the comparison between chains of stochastic Markov transitions (mathematics) and chains of B transition matrices (physics) as a clear approach to elucidate this subject and better understand both from the point of view of probability by definition and limitation of application. The in-depth study shows that the B-matrix chains originally introduced to solve the general case of the time-dependent diffusion equation can also find numerical integration formulas, numerically derive the normal/Gaussian distribution, and find the numerical values of the Gamma function in the positive x domain. The numerical results presented are surprisingly accurate and validate the B transition matrix hypothesis.
Keywords: No Keywords Available
DOI: https://doi.org/10.5281/zenodo.8328088
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23MAR1852.pdf
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