Discrete Morse theory is a versatile tool from combinatorial algebraic topology. In a nutshell, discrete Morse theory uses certain well-behaved functions, the so-called discrete Morse functions, from ...

An extension to numpy using discrete fourier transforms to compute the curl of 2D and 3D functions. This produces results far more accurate than using 10th-order finite difference derivatives (which ...

a, An illustration of liquid crystal polymer-based random wrinkles observed using a microscope and converted into a binary code, random and unique, and used as a PUF. Liquid crystals have different ...

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 ...

A random variable is a variable whose possible values are numerical outcomes of a random phenomenon. It is a fundamental concept in probability and statistics, used to quantify and analyze random ...

Engineering applications of the fractional Weibull distribution (fWd) are quite limited because a corresponding stochastic process is not yet constituted and completely analyzed of fundamental ...