A mental model is a cognitive representation, framework, or concept that helps individuals understand and interpret the world around them. It’s a way of thinking that allows people to organize information, make predictions, solve problems, and guide decision-making based on their perceptions of reality. Mental models can be influenced by personal experiences, education, cultural background, and context.
An **interval exchange transformation** (IET) is a mathematical concept used in the field of dynamical systems and ergodic theory. It involves a way of rearranging segments of an interval (typically the unit interval \([0, 1]\)) by applying a transformation that is defined by splitting the interval into several subintervals of specific lengths, then permuting those subintervals according to a specific rule.