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Books > Science & Mathematics > Science: general issues > General
Domain theory, a subject that arose as a response to natural
concerns in the semantics of computation, studies ordered sets
which possess an unusual amount of mathematical structure. This
book explores its connection with quantum information science and
the concept that relates them: disorder. This is not a literary
work. It can be argued that its subject, domain theory and quantum
information science, does not even really exist, which makes the
scope of this alleged 'work' irrelevant. BUT, it does have a
purpose and to some extent, it can also be said to have a method. I
leave the determination of both of those largely to you, the
reader. Except to say, I am hoping to convince the uninitiated to
take a look. A look at what? Twenty years ago, I failed to
satisfactorily prove a claim that I still believe: that there is
substantial domain theoretic structure in quantum mechanics and
that we can learn a lot from it. One day it will be proven to the
point that people will be comfortable dismissing it as a
'well-known' idea that many (possibly including themselves) had
long suspected but simply never bothered to write down. They may
even call it "obvious!" I will not bore you with a brief history
lesson on why it is not obvious, except to say that we have never
been interested in the difficulty of proving the claim only in
establishing its validity. This book then documents various
attempts on my part to do just that.
The book contains a detailed account of numerical solutions of
differential equations of elementary problems of Physics using
Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The
problems are motion under constant force (free fall), motion under
Hooke's law force (simple harmonic motion), motion under
combination of Hooke's law force and a velocity dependent damping
force (damped harmonic motion) and radioactive decay law. Also
included are uses of Mathematica in dealing with complex numbers,
in solving system of linear equations, in carrying out
differentiation and integration, and in dealing with matrices.
Jean-Henri Fabre was a famous French entomologist whose
observations of insects were praised - this examination of various
beetles is characteristic of his meticulous yet engrossing
descriptions. Fabre's greatest talent was rooted in his genuine
passion for entomology; a natural ability to observe the quirks and
habits of small creatures, and describe them to others in a plain
but lively way. As demonstrated in this book, he wrote about
insects as if they were his friends - seeing their lives play out,
it is thus that qualities of biography are found alongside the
scientific value of this work. In life, Fabre met with backlash for
his unique style - formal schools, whom he in turn criticized for
dryness of tutoring - considered his books long-winded, or even
frivolous. Nevertheless he managed to connect atmospheric pressure
to the behavior of certain insects, while contemporaries such as
Charles Darwin held Fabre in high esteem, to the point of finding
his studies inspirational.
A new wave of thinkers from across different disciplines within the
analytical tradition in philosophy has recently focused on
critical, societal challenges, such as the silencing and
questioning of the credibility of oppressed groups, the political
polarization that threatens the good functioning of democratic
societies across the globe, or the moral and political significance
of gender, race, or sexual orientation. Appealing to both
well-established and younger international scholars, this volume
delves into some of the most relevant problems and discussions
within the area, bringing together for the first time different
essays within what we deem to be a "political turn in analytic
philosophy." This political turn consists of putting different
conceptual and theoretical tools from epistemology, philosophy of
language, philosophy of mind, and metaphysics at the service of
social and political change. The aim is to ensure a better
understanding of some of the key features of our social
environments in an attempt to achieve a more just and equal
society.
Electromagnetic homogenization is the process of estimating the
effective electromagnetic properties of composite materials in the
long-wavelength regime, wherein the length scales of
nonhomogeneities are much smaller than the wavelengths involved.
This is a bird's-eye view of currently available homogenization
formalisms for particulate composite materials. It presents
analytical methods only, with focus on the general settings of
anisotropy and bianisotropy. The authors largely concentrate on
'effective' materials as opposed to 'equivalent' materials, and
emphasize the fundamental (but sometimes overlooked) differences
between these two categories of homogenized composite materials.
The properties of an 'effective' material represents those of its
composite material, regardless of the geometry and dimensions of
the bulk materials and regardless of the orientations and
polarization states of the illuminating electromagnetic fields. In
contrast, the properties of 'equivalent' materials only represent
those of their corresponding composite materials under certain
restrictive circumstances.
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