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Unlike some other reproductions of classic texts (1) We have not
used OCR(Optical Character Recognition), as this leads to bad
quality books with introduced typos. (2) In books where there are
images such as portraits, maps, sketches etc We have endeavoured to
keep the quality of these images, so they represent accurately the
original artefact. Although occasionally there may be certain
imperfections with these old texts, we feel they deserve to be made
available for future generations to enjoy.
This book presents a comprehensive mathematical approach for
solving stochastic magnetic field problems. It discusses
variability in material properties and geometry, with an emphasis
on the preservation of structural physical and mathematical
properties. It especially addresses uncertainties in the computer
simulation of magnetic fields originating from the manufacturing
process. Uncertainties are quantified by approximating a stochastic
reformulation of the governing partial differential equation,
demonstrating how statistics of physical quantities of interest,
such as Fourier harmonics in accelerator magnets, can be used to
achieve robust designs. The book covers a number of key methods and
results such as: a stochastic model of the geometry and material
properties of magnetic devices based on measurement data; a
detailed description of numerical algorithms based on sensitivities
or on a higher-order collocation; an analysis of convergence and
efficiency; and the application of the developed model and
algorithms to uncertainty quantification in the complex magnet
systems used in particle accelerators.
This book explores the role of the biblical patriarch Abraham in
the formation and use of authoritative texts in the Persian and
Hellenistic periods. It reflects a conference session in 2009
focusing on Abraham as a figure of cultural memory in the
literature of these periods. Cultural memory is the shared
reproduction and recalling of what has been learned and retained.
It also involves transformation and innovation. As a figure of
memory, stories of Abraham served as guidelines for
identity-formation and authoritative illustration of behaviour for
the emerging Jewish communities.
Many believe that equality of opportunity will be achieved when the
prospects of children no longer depend upon the wealth and
education of their parents. The institution through which the link
between child and parental prospects may be weakened is public
education. Many also believe that democracy is the political
institution that will bring about justice. This study, first
published in 2006, asks whether democracy, modeled as competition
between political parties that represent different interests in the
polity, will result in educational funding policies that will, at
least eventually, produce citizens who have equal capacities (human
capital), thus breaking the link between family background and
child prospects. In other words, will democracy engender, through
the educational finance policies it produces, a state of equal
opportunity in the long run?
This volume contains editions of 35 texts, which have been
excavated nearly 100 years ago in the ancient Egyptian village of
Karanis, and which were still waiting publication. As all texts
written on papyrus from the Egyptian countryside, these texts give
a new insight into the life of the people who dwelled in a typical
village of the Roman period in Egypt. The texts show the cultural
diversity of those who cohabitated, whether they had Greek or
Egyptian names, whether their main gods were the crocodiles or
Zeus. In the lives of all of them tax-paying played an important
role, as well as caring for their cattle and fields, doing
business, and fullfilling the obligations of the Roman government.
In particular interesting is the personage of Socrates the
tax-collector. Since the ruins of Karanis are still standing (and
worth a visit) with two nearly intact temples from the period of
the texts, a more complete image of village life emerges from texts
and the archaeology behind them. Papyrologists welcome every newly
published text as a further stone of the mosaic image that they try
to create of the past.
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