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At the heart of this book is the generalized theoretical approach
that is applied to investigate the geoelectrical structure of the
Earth's mantle. It also analyzes the results of regional and global
induction sounding of the Earth's mantle and compares them with the
results obtained by other geophysical methods. The generalized
theoretical approach employs the Induction Law as a basis for
identifying extended relations between magnetic field components,
including their plane divergence, impedances and spatial
derivatives. The estimations of impedance values and spatial
derivatives are performed using the theory of stochastic processes.
The book also considers the external sources of magnetic fields
used for sounding the Earths mantle from the modern theory
perspective, as well as the problem of coincidence of
magneto-variation and magnetotelluric methods. Further, it
discusses secular variations in the Earth's resistance caused by
non-induction sources, factors that are correlated with the number
of earthquakes in the region and shifted in time with global
indexes. It is a valuable resource for scientists applying deep
induction soundings or interested in the structures of and
processes in the Earth's interior.
Abstract models for many problems in science and engineering take
the form of an operator equation. The resolution of these problems
often requires determining the existence and uniqueness of
solutions to these equations. "Generalized Solutions of Operator
Equations and Extreme Elements" presents recently obtained results
in the study of the generalized solutions of operator equations and
extreme elements in linear topological spaces. The presented
results offer new methods of identifying these solutions and
studying their properties. These new methods involve the
application of a priori estimations and a general topological
approach to construct generalized solutions of linear and nonlinear
operator equations. The monograph is intended for mathematicians,
graduate students and researchers studying functional analysis,
operator theory, and the theory of optimal control.
V osnovu monografii polozhen tsikl avtorskikh statey po dannoy
teme, opublikovannykh v vedushchikh nauchnykh izdaniyakh Rossii v
period 2008-2012 godov. Privedennye materialy polucheny v
rezul'tate initsiativnykh nauchno-issledovatel'skikh rabot na
kafedre kolesnykh i gusenichnykh mashin Sankt-Peterburgskogo
gosudarstvennogo politekhnicheskogo universiteta. Monografiya
prednaznachena dlya nauchnykh rabotnikov, prepodavateley,
inzhenerov, magistrov, bakalavrov, aspirantov i studentov,
imeyushchikh otnoshenie k avtotransportnym spetsial'nostyam.
Monografiya posvyashchena opticheskim svoystvam kvantovykh tochek s
lokalizovannymi i rezonansnymi D(-)-sostoyaniyami, a takzhe uprugim
svoystvam nanostrukturirovannogo poverkhnostnogo sloya metalla s
tsepochkoy mikrotreshchin. Eti raznye po fizicheskoy prirode
sistemy ob"edinyaet kontseptsiya o kvantovom tunnelirovanii s
dissipatsiey, kotoraya zanimaet zametnoe mesto v soderzhanii
monografii. Predstavleny rezul'taty teoreticheskikh issledovaniy
effektov vliyaniya vneshnikh elektricheskogo i magnitnogo poley na
opticheskie svoystva kvantovykh tochek s rezonansnymi D(-)- i
D2(-)-sostoyaniyami v usloviyakh 1D-dissipativnogo tunnelirovaniya.
Izlozhen podkhod, osnovannyy na 2D-dissipativnom tunnelirovanii k
vychisleniyu modulya Yunga nanostrukturirovannogo poverkhnostnogo
sloya metalla, obrazovannogo v usloviyakh kavitatsionnogo
mekhanizma zvukokapillyarnogo effekta s ispol'zovaniem
smazochno-okhlazhdayushchey zhidkosti s nanochastitsami metalla.
Monografiya prednaznachena dlya magistrov i aspirantov,
spetsializiruyushchikhsya v oblasti fiziki kondensirovannogo
sostoyaniya, a takzhe spetsialistov v oblasti fiziki
nizkorazmernykh sistem i tekhnologii mashinostroeniya.
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