Dependent Type Theory

Empirical process techniques for independent data have been used for many years in statistics and probability theory. These techniques have proved very useful for studying asymptotic properties of parametric as well as non-parametric statistical procedures. Recently, the need to model the dependence structure in data sets from many different subject areas such as finance, insurance, and telecommunications has led to new developments concerning the empirical distribution function and the empirical process for dependent, mostly stationary sequences. This work gives an introduction to this new theory of empirical process techniques, which has so far been scattered in the statistical and probabilistic literature, and surveys the most recent developments in various related fields.

Master DC and AC Circuit Analysis: Learn From 15+ Years of Expert Teaching for Electrical and Electronics Enthusiasts

Master DC and AC Circuit Analysis: Learn From 15+ Years of Expert Teaching for Electrical and Electronics Enthusiasts

Master DC and AC Circuit Analysis: Learn From 15+ Years of Expert Teaching for Electrical and Electronics Enthusiasts

Dependent types are a concept that allows developers to write proof-carrying code. Idris is a programming language that supports dependent types. This book will teach you the mathematical foundations of Idris as well as how to use it to write software and mathematically prove properties.

Dependent types are a concept that allows developers to write proof-carrying code. Idris is a programming language that supports dependent types. This book will teach you the mathematical foundations of Idris as well as how to use it to write software and mathematically prove properties.

This book discusses some of these subjects, including spinor fields, 5D relativity, dissipative quantum system and energy balance, centrifugal acceleration in relativistic astrophysics, and time-dependent photoluminescence.