This is a single EXCEL document with multiple worksheets to perform the calculations required for most of the course homework and test problems.
Abstract Micro-time is the time until the next thing happens in the World. A micro-time machine is a simple abstract structure with possibly complex emergent behavior. Such machines intertwine temporality and probability conveniently for mathematical reasoning and computer simulation. A sketch of salient micro-time operations in the World, Body, Brain, and Mind is exhibited and discussed in the light of published mental models expressed by many researchers about the subjective present, attention, and mental simulation.
Keywords conscious thought · mental model ·microlect · micro-time · simulation · synaptic plasticity
My objective is to understand and teach mathematical science. For the last couple of years I have been teaching undergraduate statistics as an Adjunct Instructor at some colleges. Of course, the uniform, binomial, normal, Student's t, and chi-square probability distributions are introduced and used to solve problems. But not mentioned in standard statistics textbooks are "power laws," in spite of their ubiquity in "physics, biology, earth and planetary sciences, economics and finance, computer science, demography and the social sciences." Nor are power laws mentioned in my book, "EXCEL in Statistics." This article is a supplement to that work. It is focused on two stochastic models at the root of network science. First is the simplest model of "growth and preferential attachment" invented by Albert-László Barabási. Second is the more complex but chronologically earlier "stochastic model of a book" analyzed by Herbert A. Simon. In both cases, the pattern in this paper is from intuitive description, to formally expressed algorithm, to recurrence equations for random variables, to recurrence equations for expected values.