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

A hydrodynamical model for the electron-phonon system in semiconductor is developed by closing the moment system arising from the coupled Boltzmann equations for electrons and phonons with the maximum entropy principle. Limiting models are obtained under appropriate scaling, and comparisons with the existing models of charge transport in semiconductors including the thermal effects of the crystal lattice are presented.

Electron-phonon hydrodynamical model for semiconductors

Simulation of a double-gate MOSFET by a non-parabolic energy-transport subband model for semiconductors based on the maximum entropy principle

This study attempts to investigate the thermal conductivity behavior of epoxy nanocomposites containing different types of nanofillers, such as 1-D Multiwall Carbon Nanotubes (MWCNTs) and 2-D predominant shape of Exfoliated Graphite nanoparticles (EG) at loading level from 0.25 to 3% wt. For all the analyzed epoxy nanocomposites calorimetric investigation shows that EG nanoparticles accelerate the curing process of the epoxy resin. Thermal conductivity measurements show that this acceleration is directly related to the better heat conduction obtained through the incorporation of EG in the epoxy matrix. The thermal conductivity of epoxy nanocomposites filled with EG, unlike of epoxy nanocomposites containing MWCNTs, increases significantly with increasing content of nanofiller. An increase in thermal conductivity of ∼ 300% has been detected for a filler percentage of only 3%wt of EG.

The application of Deng-Zheng micromechanical model has proven to be very effective in predicting analytically the thermal conductivity of the analyzed nanocomposites. POLYM. ENG. SCI., 57:779–786, 2017. © 2017 Society of Plastics Engineers

Experimental evaluation and modeling of thermal conductivity of tetrafunctional epoxy resin containing different carbon nanostructures

A hydrodynamical model for holes in silicon semiconductors: The case of non-parabolic warped bands

Consistent hydrodynamical models for electron transport in Si and GaAs semiconductors, free of any fitting parameter, have been formulated in (Cont Mech Thermodyn 11 (1999) 307; Contemp Mech Thermodyn 12 (1999) 31; Contemp Mech Thermodyn 14 (2002) 405; COMPEL (to appear)) on the basis of the maximum entropy principle (MEP), by describing the valleys in the energy conduction band by means of the Kane dispersion relation Explicit constitutive functions for fluxes and production terms appearing in the macroscopic balance equations of density, crystal momentum, energy and energy-flux have been obtained Scatterings of electrons with polar (in the case of GaAs) and non-polar optical phonons, both for intervalley and intravalley interactions, and with acoustic phonons and impurities have been taken into account Here we derive from the previous hydrodynamical models both low- and high-field mobilities The results are compared with those given by the Caughey–Thomas formula and eventually the validity of the Einstein relation is investigated

Vittorio Romano

Papers

Electron-phonon hydrodynamical model for semiconductors

Simulation of a double-gate MOSFET by a non-parabolic energy-transport subband model for semiconductors based on the maximum entropy principle

Experimental evaluation and modeling of thermal conductivity of tetrafunctional epoxy resin containing different carbon nanostructures

A hydrodynamical model for holes in silicon semiconductors: The case of non-parabolic warped bands

Si and GaAs mobility derived from a hydrodynamical model for semiconductors based on the maximum entropy principle