Our research proves a conjecture from string theory asserting the vanishing of a specific convolution sum arising in the 4-graviton scattering amplitude in 10-dimensional type IIB string theory. The ...

Signals composed of a sum of sinusoids are often used when testing components and systems. The peak-to-RMS value of the sum stresses the dynamic range of the component or system, thus correcting a ...

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I’m hoping to specify a joint intervention in a survival analysis in which one of the intervention variables, ‘cum_A’, is the cumulative sum of the other intervention variable, ‘A’. In the treated ...

Roll a die and ask students to identify the random variable. Since a die can only take on values of 1, 2, 3, 4, 5, or 6, this is a discrete random variable. Repeat ...

This tool brute-forces the internal seed of Bash's $RANDOM variable after only 2-3 samples, in seconds. After doing so, you are able to predict all future values to ...

Abstract: A simple and novel method is presented to approximate by the lognormal distribution the probability density function of the sum of correlated lognormal random variables. The method is also ...

The evaluation of the ground movement induced by tunnelling is of vital importance for the tunnel construction and the safety of the adjacent facilities. As the spatial variability of soil was widely ...