DANCEST 805 Lecture Notes - Lecture 12: Mathematical Proof, Stochastic Process, Observational Error
Document Summary
Learning goals: what is a function, what is a linear function, what are the different types of nonlinear functions, what are the steps to making a mathematical model, solve the task of ucm"s capacity. Mathematical modeling: describing relationships a between variables using mathematical concepts. There are three types of variables in mathematical modeling: categorical variable, definition: a variable that has different levels, values or categories. Between 1 child and 4 children, you can have 2 or 3 children, but not 1. 7 children: continuous variable, definition: in which there are infinite number of values between any two values, example: reaction time to a stimulus. Between 1 and 2 seconds, there is an infinite number of values (e. g. 1. 001 seconds, 1. 873 seconds, 1. 874 seconds). There are two types of models: deterministic models, definition: no random error operating, stochastic model or probabilistic model, definition: some degree of randomness is present.
