Abstract: It is well-known that power systems operation always affected by various uncertainties which make the bus voltage a random process that can be characterized by its probability density ...

The probability density function of a uniform random variable looks like a horizontal line segment over the support. This indicates that for any interval of a given length within the support, the ...

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the most important concept in modern science, especially as nobody has the ...

Going without sleep can become dangerous quickly, with symptoms like cognitive impairment and hallucinations appearing after just a few nights. After 24, 36, 48, and 72 hours without sleep, problems ...

Abstract: A new theoretical framework for the nonequilibrium Green’s function (NEGF) scheme is presented to account for the discrete nature of impurities doped in semiconductors. Since the impurity ...