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Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Download or read book At The Frontier Of Particle Physics Handbook Of Qcd In 3 Vols written by Misha Shifman and published by World Scientific. This book was released on 2001-04-10 with total page 2196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of reviews covering all aspects of quantum chromodynamics as we know it today. The articles have been written by recognized experts in this field, in honor of the 75th birthday of Professor Boris Ioffe. Combining features of a handbook and a textbook, this is the most comprehensive source of information on the present status of QCD. It is intended for students as well as physicists — both theorists and experimentalists.Each review is self-contained and pedagogically structured, providing the general formulation of the problem, telling where it stands with respect to other issues and why it is interesting and important, presenting the history of the subject, qualitative insights, and so on. The first part of the book is historical in nature. It includes, among other articles, Boris Ioffe's and Yuri Orlov's memoirs on high energy physics in the 1950's, a note by B V Geshkenbein on Ioffe's career in particle physics, and an essay on the discovery of asymptotic freedom written by David Gross.
Download or read book Foundations of Data Science written by Avrim Blum and published by Cambridge University Press. This book was released on 2020-01-23 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematical and algorithmic foundations of data science, including machine learning, high-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear algebraic techniques such as singular value decomposition, the theory of random walks and Markov chains, the fundamentals of and important algorithms for machine learning, algorithms and analysis for clustering, probabilistic models for large networks, representation learning including topic modelling and non-negative matrix factorization, wavelets and compressed sensing. Important probabilistic techniques are developed including the law of large numbers, tail inequalities, analysis of random projections, generalization guarantees in machine learning, and moment methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as matrix norms and VC-dimension. This book is suitable for both undergraduate and graduate courses in the design and analysis of algorithms for data.
Download or read book Oxygen in the Solar System written by Glenn J. MacPherson and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-12-17 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 68 of Reviews in Mineralogy and Geochemistry reviews Oxygen in the Solar System, an element that is so critically important in so many ways to planetary science. The book is based on three open workshops: Oxygen in the Terrestrial Planets, held in Santa Fe, NM July 20-23, 2004; Oxygen in Asteroids and Meteorites, held in Flagstaff, AZ June 2-3, 2005; and Oxygen in Earliest Solar System Materials and Processes (and including the outer planets and comets), held in Gatlinburg, TN September 19-22, 2005. As a consequence of the cross-cutting approach, the final book spans a wide range of fields relating to oxygen, from the stellar nucleosynthesis of oxygen, to its occurrence in the interstellar medium, to the oxidation and isotopic record preserved in 4.56 Ga grains formed at the Solar System's birth, to its abundance and speciation in planets large and small, to its role in the petrologic and physical evolution of the terrestrial planets. Contents: Introduction Oxygen isotopes in the early Solar System - A historical perspective Abundance, notation, and fractionation of light stable isotopes Nucleosynthesis and chemical evolution of oxygen Oxygen in the interstellar medium Oxygen in the Sun Redox conditions in the solar nebula: observational, experimental, and theoretical constraints Oxygen isotopes of chondritic components Mass-independent oxygen isotope variation in the solar nebula Oxygen and other volatiles in the giant planets and their satellites Oxygen in comets and interplanetary dust particles Oxygen and asteroids Oxygen isotopes in asteroidal materials Oxygen isotopic composition and chemical correlations in meteorites and the terrestrial planets Record of low-temperature alteration in asteroids The oxygen cycle of the terrestrial planets: insights into the processing and history of oxygen in surface environments Redox conditions on small bodies, the Moon and Mars Terrestrial oxygen isotope variations and their implications for planetary lithospheres Basalts as probes of planetary interior redox state Rheological consequences of redox state
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