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On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna tional Congress of Mathematicians in Paris. The talk covered practically all directions of mathematical thought of that time and contained a list of 23 problems which determined the further development of mathema tics in many respects (1, 119]. Hilbert's Sixteenth Problem (the second part) was stated as follows: Problem. To find the maximum number and to determine the relative position of limit cycles of the equation dy Qn(X, y) -= dx Pn(x, y)' where Pn and Qn are polynomials of real variables x, y with real coeffi cients and not greater than n degree. The s...
'The first two editions of this textbook have received well-deserved high acclaims, and this — the third edition — deserves no less. Its explanations of the whole gamut of atomic and molecular spectroscopy provide a solid grasp of the theory as well as how to understand such spectra in practice. It thus makes an ideal companion to books that start from the observational aspect of spectroscopy, whether in the lab or at the telescope … This new edition of Tennyson’s book ought to be in the library of every astronomical department.'The Observatory Magazine'It closely follows the course given to third year UCL undergraduates, and the worked examples have surely been tested on students â€...
This book provides a detailed description of the modern variational methods available for solving the nuclear motion Schrödinger equation to enable accurate theoretical spectroscopy of polyatomic molecules. These methods are currently used to provide important molecular data for spectroscopic studies of atmospheres of astronomical objects including solar and extrasolar planets as well as cool stars. This book has collected descriptions of quantum mechanical methods into one cohesive text, making the information more accessible to the scientific community, especially for young researchers, who would like to devote their scientific career to the field of computational molecular physics. The b...
In this book the Author presents a realistic method of how to become a nonsmoker. Technique is tested and amazingly effective. Step over the line, where the non-smokers are. Only your choice defines it. The method also guarantees the absence of any "suffering" in the process of becoming a nonsmoker.This book is a series of "All-pervading love." In this case of self-love. Perhaps you asked yourself the question "WHY" a lot of times:-I do not care about yourself?- So take my life?-I consider myself to be unique in the universe, and spit on my health?-I enjoy the beauty of the Earth and do things that reduce pleasure?But these questions are forgotten, and life went on as before.***This book will change your life. It's not just because you took it in hand!You instinctively want to become a nonsmoker. You think about it periodically.But all the while somehow not comes down to it, to do them.Now "it" you'll have a quick and easy!
This is the first book to present the necessary quantum chemical methods for both resonance types in one handy volume, emphasizing the crucial interrelation between NMR and EPR parameters from a computational and theoretical point of view. Here, readers are given a broad overview of all the pertinent topics, such as basic theory, methodic considerations, benchmark results and applications for both spectroscopy methods in such fields as biochemistry, bioinorganic chemistry as well as with different substance classes, including fullerenes, zeolites and transition metal compounds. The chapters have been written by leading experts in a given area, but with a wider audience in mind. The result is...
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This work will serve as a definitive overview of the field of computational simulation as applied to analytical chemistry and biology, drawing on recent advances as well as describing essential, established theory for graduates and postgraduate researchers.
A taut thriller set against the turbulent history of Ukraine and the Crimea, giving fascinating and thought-provoking insight into the country's current crisis. It has been twenty-five years since the four friends left school, burdened with the dark secret of a game that ended in tragedy. Now, driven by love, loss and loyalty, they meet to play Tony's game once more. Tony, the mastermind, has planned the moves that will take each player across continents. The rules are the same, but they have grown up, and the stakes are much, much higher. They will be forced to open a forgotten page of history: the Crimea conference of 1945, where three world leaders divided up the world and created a new map of Europe after the Second World War. How are the secret talks of those leaders connected with this dangerous new game? And why has Tony decided to play again?
The book presents the latest developments and new directions in advanced control systems, as well as new theoretical discoveries, industrial applications, and case studies of complex engineering systems and materials science. The technological breakthrough at this stage is associated with digital transformation. It is assumed that innovations from different industries interact in a complex way. At the same time, fundamental research and its industrial implementation underlie the developed products and technologies and are aimed at improving modern technological processes and achievements. However, digital transformation not only opens up new opportunities, but also creates additional risks. The authors thank the Springer Nature team for cooperation.