Statistics for Mathematicians--An Introduction.

An Introduction to Univalent Foundations for Mathematicians

We offer an introduction for mathematicians to the univalent foundations of Vladimir Voevodsky, aiming to explain how he chose to encode mathematics in type theory and how the encoding reveals a potentially viable foundation for all of modern mathematics that can serve as an alternative to set theory.

Deep Learning: An Introduction for Applied Mathematicians

Multilayered artificial neural networks are becoming a pervasive tool in a host of application fields. At the heart of this deep learning revolution are familiar concepts from applied and computational mathematics; notably, in calculus, approximation theory, optimization and linear algebra. This article provides a very brief introduction to the basic ideas that underlie deep learning from an ap...

Statistics for dental researchers; part 1: Introduction

Learning statistics is a necessity for dental researchers. Due to daily dental science expansion, dental researchers have to study new papers in recent dental journals to remain up to date. On the other hand, knowing principles of statistics helps better understanding of the articles. Some authors revealed that knowledge of dentists about basic topics of statistics was poor. Therefore, in this ...

A Brief Introduction to Physics for Mathematicians

An Introduction to Statistics

A similar process can be used when dealing with sample means. If a suYcient number of samples have been taken, and their means plotted, then they begin to take up a normal distribution. It can be shown mathematically that the mean of this distribution (μx) is the same as the population mean (μ). Furthermore, the standard deviation of the distribution is equal to ó/'n, where n is the number of c...