A scientific sampler

A Font Family Sampler

\usepackage{FAMILY} where FAMILY is given in the subsection titles below. The body font in this document is from the TEX Gyre Bonum family, selected by a \usepackage{tgbonum} command in the document preamble, but the samples illustrate scores other font families. Like Computer Modern, Latin Modern, and the commercial Lucida and MathTime families, the TEX Gyre families offer extensive collection...

Undecidable Problems: a Sampler

After discussing two senses in which the notion of undecidability is used, we present a survey of undecidable decision problems arising in various branches of mathematics.

Prologue: A machine learning sampler

Y OU MAY NOT be aware of it, but chances are that you are already a regular user of machine learning technology. Most current e-mail clients incorporate algorithms to identify and filter out spam e-mail, also known as junk e-mail or unsolicited bulk e-mail. Early spam filters relied on hand-coded pattern matching techniques such as regular expressions, but it soon became apparent that this is h...

Mathematical General Relativity: a Sampler

We provide an introduction to selected significant advances in the mathematical understanding of Einstein’s theory of gravitation which have taken place in recent years.

A Focus Research Sampler -2004