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Observers and Splitting Structures in Relativistic Electrodynamics 
Posted on 20150327
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We introduce a relativistic splitting structure as a means to map fields and equations of electromagnetism from curved fourdimensional spacetime to threedimensional observer's space. We focus on a minimal set of mathematical structures that are directly motivated by the language of the physical theory. Spacetime, worldlines, time translation, space platforms, and time synchronization all find their mathematical counterparts. The splitting structure is defined without recourse to coordinates or frames. This is noteworthy since, in much . . . . 






The Elements of Statistical Learning 
Posted on 20150326
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During the past decade has been an explosion in computation and information technology. With it has come vast amounts of data in a variety of fields such as medicine, biology, finance, and marketing. The challenge of understanding these data has led to the development of new tools in the field of statistics, and spawned new areas such as data mining, machine learning, and bioinformatics. Many of these tools have common underpinnings but are often expressed with different terminology. This book descibes the important ideas in these areas in a co . . . . 






WHAT IS LIFE  Subcellular Physics of Live Matter 
Posted on 20150325
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This is a set of lectures that I presented at the Les Houches 2014 Summer School "Topological Aspects in Condensed Matter Physics". The lectures are an introduction to physics of proteins. To physicists, and by a physicist. My lectures at les Houches were also celebration of the anniversary of Schroedinger's 1944 lectures, and for that reason I decided to share my title with his book.
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Review of Some Promising Fractional Physical Models 
Posted on 20150324
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Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by powerlaw nonlocality, powerlaw longterm memory or fractal properties by using integrations and differentiation of noninteger orders, i.e., by methods of the fractional calculus. This paper is a review of physical models that look very promising for future development of fractional dynamics. We suggest a short introduction to fractional calculus as a theory of integration and differentiation of nonint . . . . 






A Practical Guide to Robust Optimization 
Posted on 20150323
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Robust optimization is a young and active research field that has been mainly developed in the last 15 years. Robust optimization is very useful for practice, since it is tailored to the information at hand, and it leads to computationally tractable formulations. It is therefore remarkable that reallife applications of robust optimization are still lagging behind; there is much more potential for reallife applications than has been exploited hitherto. The aim of this paper is to help practitioners to understand robust optimization and to succ . . . . 






Schwarzschild and Kerr Solutions of Einstein Field Equation  an introduction 
Posted on 20150323
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Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(Droste) solution, and into one specific stationary axially symmetric solution, the Kerr solution. The Schwarzschild solution is unique and its metric can be interpreted as the exterior gravitational field of a spherically symmetric mass. The Kerr solution is only unique if the multipole moments of its mass and its angular momentum take on prescribed values. Its metric can be . . . . 






