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1000 tulosta hakusanalla Petr Levin

An Introduction to the Relativistic Theory of Gravitation

An Introduction to the Relativistic Theory of Gravitation

Petr Hajicek

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2010
nidottu
The contemporary theoretical physics consists, by and large, of two independent parts. The rst is the quantum theory describing the micro-world of elementary p- ticles, the second is the theory of gravity that concerns properties of macroscopic systems such as stars, galaxies, and the universe. The relativistic theory of gr- itation which is known as general relativity was created, at the beginning of the last century, by more or less a single man from pure idea combinations and bold guessing. The task was to “marry” the theory of gravity with the theory of special relativity. The rst attempts were aimed at considering the gravitational potential as a eld in Minkowski space–time. All those attempts failed; it took 10 years until Einstein nally solved the problem. The dif culty was that the old theory of gravity as well as the young theory of special relativity had to be modi ed. The next 50 years were dif cult for this theory because its experimental basis remained weak and its complicated mathematical structure was not well understood. However, in the subsequent period this theory ourished. Thanks to improvements in the te- nology and to the big progress in the methods of astronomical observations, the amount of observable facts to which general relativity is applicable was consid- ably enlarged. This is why general relativity is, today, one of the best experimentally tested theories while many competing theories could be disproved. Also the conc- tual and mathematical fundamentals are better understood now.
Reconstruction of Upper Cervical Spine and Craniovertebral Junction

Reconstruction of Upper Cervical Spine and Craniovertebral Junction

Petr Suchomel; Ondrej Choutka

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2014
nidottu
An illustrative manual for general spine surgeons, this text atlas covers all currently available techniques of upper cervical spine and craniovertebral junction reconstruction. All the surgical risks and benefits are discussed and compared with the outcome of more than 300 surgeries of this region. The surgical procedures are demonstrated step-by-step in instructive drawings and illustrations describing the approach, technique of implant introduction and spine reconstruction. A special focus is on realtime and virtual navigation techniques as well as potential complications and their avoidance.
Finite-type invariants of magnetic lines

Finite-type invariants of magnetic lines

Petr Akhmet'ev

Lap Lambert Academic Publishing
2016
pokkari
Properties of magnetic flows are described using high dimensional configuration spaces. Arnold asymptotic ergodic invariant of magnetic lines is the basic example. Asymptotic invariants of magnetic lines are related to stable homotopy groups of spheres, are detected by Postnikov k-invariants. Anosov flows on 3D homology spheres are models of stable magnetic knots. Finite-type invariants of magnetic line are required to describe properties of turbulent flows and determine constraints in magnetic feld relaxation with free boundary.