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marcello colozzo

Showing 1 - 6 of 6 results for “marcello colozzo
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  • Predictive Mathematical Models of the Covid–19 pandemic in ODE/SDE framework

    This article proposes a viral diffusion model (like Covid-19 pandemic) in the ordinary differential equations (ODE) and stochastic differential equations (SDE) framework. The classic models based on the logistic map are analyzed, and then a noise term is introduced that models the behavior of the so-called "deniers". This model fairly faithfully reproduces the Italian situation in today’s period. ... Read more

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  • Proof of the Riemann Hypothesis

    We prove the Riemann Hypothesis by studying the behavior of a holomorphic function which has the same non-trivial zeros as the Riemann zeta function.Marcello Colozzo, a graduate in Physics, has been involved in online teaching of Mathematics and Physics since 2008 through the Extra Byte website where "simulations" are performed in the Mathematica computing environment. In recent years he has ... Read more

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  • That Damned Equation

    The Thomas–Fermi equation

    The Italian physicist Ettore Majorana mysteriously disappeared in 1938. Majorana was part of the famous Via Panisperna group directed by Enrico Fermi. In those years the model of «heavy atom» (that is, with many electrons) was proposed, and Fermi elaborated a model based on Statistical Quantum Mechanics known as the Thomas-Fermi model (as established in the same period by Llewellyn Thomas). This ... Read more

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  • The photoelectric effect

    In 1900 Max Planck provided the first step by introducing quantization in the processes of absorption and emission of energy by matter. Five years later, Einstein went one step further, demonstrating that quantization is also present in the propagation of an electromagnetic field, so it is an intrinsic component of an electromagnetic field. In other words, he introduced the concept of "photon" ... Read more

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  • The Riemann Zeta function and the Fourier Transform

    The Riemann Hypothesis, first formulated in 1859 by Bernhard Riemann, is considered the most important open problem in mathematics. It is part of Hilbert's twenty-three problems and seven millennium problems, for the solution of each of which the Clay Mathematical Institute has offered a prize of one million dollars.Marcello Colozzo, a graduate in Physics, has been involved in online teaching of ... Read more

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  • The BlackBody Radiaton

    Max Planck was unintentionally a revolutionary. In fact, in dealing with a thorny problem that afflicted physics at the end of the 19th century (the black body emission spectrum) he used a mathematical trick to ensure the convergence of what mathematicians call the "integral generalized". And not only that, his solution was in perfect agreement with the experimental data. "Unfortunately" (for ... Read more

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