Telford Taylor (1908–1998)

From Taylor Series to Taylor Models

An overview of the background of Taylor series methods and the utilization of the differential algebraic structure is given, and various associated techniques are reviewed. The conventional Taylor methods are extended to allow for a rigorous treatment of bounds for the remainder of the expansion in a similarly universal way. Utilizing differential algebraic and functional analytic arguments on ...

James Taylor

Taylor Expansion for the Entropy Rate of Hidden Markov Chains

We study the entropy rate of a hidden Markov process, defined by observing the output of a symmetric channel whose input is a first order Markov process. Although this definition is very simple, obtaining the exact amount of entropy rate in calculation is an open problem. We introduce some probability matrices based on Markov chain's and channel's parameters. Then, we try to obtain an estimate ...

Review of "Hemoparasites of the Reptilia. Color Atlas and Text" by Sam R. Telford, Jr

Book review of "Hemoparasites of the Reptilia. Color Atlas and Text" by Sam R. Telford, Jr. Book details Telford SR Jr: Hemoparasites of the Reptilia. Color Atlas and Text CRC Press; 2009:376. ISBN 978-1-4200-8040-7 Review This work presents a fascinating and detailed view of blood parasites (hemoparasites) of reptiles. As indicated by the author, the aim of this work is to compile all of the p...

Gravitationally dressed Parke-Taylor

A generating function for the Parke-Taylor amplitudes with any number of positive helicity gravitons in addition to the positive helicity gluons is obtained using the recently constructed self-dual classical solution of the type of perturbiner in Yang-Mills theory interacting with gravity. Computation of multi-particle amplitudes in gauge theories in the leading and next-to-leading orders has t...