THE DESIGN AND ANALYSIS OF EXPERIMENTS. By Oscar Kempthorne. New York, John Wiley and Sons, Inc., 1952. 631 pp. $8.50. This book by a teacher of statistics (as well as a consultant for \"experimenters\") is a comprehensive study of the philosophical background for the statistical design of experiment. It is necessary to have some facility with algebraic notation and manipulation to be able to use the volume intelligently. The problems are presented from the theoretical point of view, without such practical examples as would be helpful for those not acquainted with mathematics. The mathematical justification for the techniques is given. As a somewhat advanced treatment of the design and analysis of experiments, this volume will be interesting and helpful for many who approach statistics theoretically as well as practically. With emphasis on the \"why,\" and with description given broadly, the author relates the subject matter to the general theory of statistics and to the general problem of experimental inference. MARGARET J. ROBERTSON

The Design and Analysis of Experiments

https://www.chester.ac.uk/sites/files/chester/rep377.pdf

Analysis of Fractional Differential Equations

to be done in this area. Face recognition is a problem that scarcely clamoured for attention before the computer age but, having surfaced, has involved a wide range of techniques and has attracted the attention of some fine minds (David Mumford was a Fields Medallist in 1974). This singular application of mathematical modelling to a messy applied problem of obvious utility and importance but with no unique solution is a pretty one to share with students: perhaps, returning to the source of our opening quotation, we may invert Duncan's earlier observation, 'There is an art to find the mind's construction in the face!'.

Linear and nonlinear waves, by G. B. Whitham. Pp.636. £50. 1999. ISBN 0 471 35942 4 (Wiley).

Signal sequences: The limits of variation

New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations

In this work, the influence of the underlying substrate on the electron distribution in graphene is evaluated by means of a numerical scheme based on the discontinuous Galerkin (DG) method for finding spatially homogeneous deterministic (non stochastic) solutions of the electron Boltzmann transport equation. A n-type density or equivalently a high value of the Fermi potential is considered; so, we neglect electron-hole scatterings. The substrate strongly affects the electron velocity and energy, on account of the additional scattering mechanisms due to the presence of the remote impurities. The main differences between graphene on a substrate and the suspended case are highlighted. Numerical results are presented and discussed. In particular, a significant reduction of the average electron velocity is observed.

Numerical Solutions of the Spatially Homogeneous Boltzmann Equation for Electrons in n-Doped Graphene on a Substrate

Multi-objective optimization and analysis for the design space exploration of analog circuits and solar cells

Some mathematical properties of the model for a radiating gas obtained with a variable Eddington factor are studied.

Some mathematical properties of radiating gas model obtained with a variable Eddington factor

Graphene nanoribbons are considered as one of the most promising ways to design electron devices where the active area is made of graphene. In fact, graphene nanoribbons present a gap between the valence and the conduction bands as in standard semiconductors such as Si or GaAs, at variance with large area graphene which is gapless, a feature that hampers a good performance of graphene field effect transistors. To use graphene nanoribbons as a semiconductor, an accurate analysis of their electron properties is needed. Here, electron transport in graphene nanoribbons is investigated by solving the semiclassical Boltzmann equation with a discontinuous Galerkin method. All the electron-phonon scattering mechanisms are included. The adopted energy band structure is that devised in [1] while according to [2] the edge effects are described as an additional scattering stemming from the Berry-Mondragon model which is valid in presence of edge disorder. With this approach a spacial 1D transport problem has been solved, even if it remains two dimensional in the wavevector space. A degradation of charge velocities, and consequently of the mobilities, is found by reducing the nanoribbon width due mainly to the edge scattering. AMS subject classifications: 82D37, 82C70, 65M60, 82C80

Vittorio Romano

Papers

Numerical Solutions of the Spatially Homogeneous Boltzmann Equation for Electrons in n-Doped Graphene on a Substrate

Multi-objective optimization and analysis for the design space exploration of analog circuits and solar cells

Some mathematical properties of radiating gas model obtained with a variable Eddington factor

Direct Simulation of Charge Transport in Graphene Nanoribbons

Existence and uniqueness for a two-temperature energy-transport model for semiconductors