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The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellopsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft.

Center of mass. --- Dynamics, Rigid. --- Rigid dynamics --- Barycenter --- Center of gravity --- Centroid --- Gravity, Center of --- Engineering. --- Mathematical physics. --- Aerospace engineering. --- Astronautics. --- Aerospace Technology and Astronautics. --- Mathematical Physics. --- Classical Mechanics. --- Mass (Physics) --- Mechanics --- Barycentric coordinates --- Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Physical mathematics --- Aeronautical engineering --- Astronautics --- Engineering --- Mathematics

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This entertaining and informative book describes how living things bump up against non-biological reality. "My immodest aim," says the author, "is to change how you view your immediate surroundings." He asks us to wonder about the design of plants and animals around us: why a fish swims more rapidly than a duck can paddle, why healthy trees more commonly uproot than break, how a shark manages with such a flimsy skeleton, or how a mouse can easily survive a fall onto any surface from any height. The book will not only fascinate the general reader but will also serve as an introductory survey of biomechanics. On one hand, organisms cannot alter the earth's gravity, the properties of water, the compressibility of air, or the behavior of diffusing molecules. On the other, such physical factors form both constraints with which the evolutionary process must contend and opportunities upon which it might capitalize. Life's Devices includes examples from every major group of animals and plants, with references to recent work, with illustrative problems, and with suggestions of experiments that need only common household materials.

Biophysics. --- Antheraea. --- Argyronetes. --- Ascaris. --- Bombyx. --- Dendraster. --- Dineutes. --- Halobates. --- Halosaccion. --- Hydra. --- Luna. --- Macronema. --- Metridium. --- Mimosa. --- Nereocystis. --- Pilobolus. --- Potamodytes. --- Quetelet. --- Velcro. --- abductin. --- airfoils. --- albumin. --- axonal transport. --- bending. --- capillary. --- centroid. --- continuity. --- creeks. --- cyclosis. --- detergent. --- echinoderms. --- fabrics. --- fiberglass. --- foraminifera. --- frameworks. --- gait. --- jellyfish. --- kneecap. --- oak tree.

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Data science, information theory, probability theory, statistical learning and other related disciplines greatly benefit from non-negative measures of dissimilarity between pairs of probability measures. These are known as divergence measures, and exploring their mathematical foundations and diverse applications is of significant interest. The present Special Issue, entitled “Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems”, includes eight original contributions, and it is focused on the study of the mathematical properties and applications of classical and generalized divergence measures from an information-theoretic perspective. It mainly deals with two key generalizations of the relative entropy: namely, the R_ényi divergence and the important class of f -divergences. It is our hope that the readers will find interest in this Special Issue, which will stimulate further research in the study of the mathematical foundations and applications of divergence measures.

Research & information: general --- Mathematics & science --- Bregman divergence --- f-divergence --- Jensen–Bregman divergence --- Jensen diversity --- Jensen–Shannon divergence --- capacitory discrimination --- Jensen–Shannon centroid --- mixture family --- information geometry --- difference of convex (DC) programming --- conditional Rényi divergence --- horse betting --- Kelly gambling --- Rényi divergence --- Rényi mutual information --- relative entropy --- chi-squared divergence --- f-divergences --- method of types --- large deviations --- strong data–processing inequalities --- information contraction --- maximal correlation --- Markov chains --- information inequalities --- mutual information --- Rényi entropy --- Carlson–Levin inequality --- information measures --- hypothesis testing --- total variation --- skew-divergence --- convexity --- Pinsker’s inequality --- Bayes risk --- statistical divergences --- minimum divergence estimator --- maximum likelihood --- bootstrap --- conditional limit theorem --- Bahadur efficiency --- α-mutual information --- Augustin–Csiszár mutual information --- data transmission --- error exponents --- dimensionality reduction --- discriminant analysis --- statistical inference --- n/a --- Jensen-Bregman divergence --- Jensen-Shannon divergence --- Jensen-Shannon centroid --- conditional Rényi divergence --- Rényi divergence --- Rényi mutual information --- strong data-processing inequalities --- Rényi entropy --- Carlson-Levin inequality --- Pinsker's inequality --- Augustin-Csiszár mutual information

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Data science, information theory, probability theory, statistical learning and other related disciplines greatly benefit from non-negative measures of dissimilarity between pairs of probability measures. These are known as divergence measures, and exploring their mathematical foundations and diverse applications is of significant interest. The present Special Issue, entitled “Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems”, includes eight original contributions, and it is focused on the study of the mathematical properties and applications of classical and generalized divergence measures from an information-theoretic perspective. It mainly deals with two key generalizations of the relative entropy: namely, the R_ényi divergence and the important class of f -divergences. It is our hope that the readers will find interest in this Special Issue, which will stimulate further research in the study of the mathematical foundations and applications of divergence measures.

Research & information: general --- Mathematics & science --- Bregman divergence --- f-divergence --- Jensen-Bregman divergence --- Jensen diversity --- Jensen-Shannon divergence --- capacitory discrimination --- Jensen-Shannon centroid --- mixture family --- information geometry --- difference of convex (DC) programming --- conditional Rényi divergence --- horse betting --- Kelly gambling --- Rényi divergence --- Rényi mutual information --- relative entropy --- chi-squared divergence --- f-divergences --- method of types --- large deviations --- strong data-processing inequalities --- information contraction --- maximal correlation --- Markov chains --- information inequalities --- mutual information --- Rényi entropy --- Carlson-Levin inequality --- information measures --- hypothesis testing --- total variation --- skew-divergence --- convexity --- Pinsker's inequality --- Bayes risk --- statistical divergences --- minimum divergence estimator --- maximum likelihood --- bootstrap --- conditional limit theorem --- Bahadur efficiency --- α-mutual information --- Augustin-Csiszár mutual information --- data transmission --- error exponents --- dimensionality reduction --- discriminant analysis --- statistical inference --- Bregman divergence --- f-divergence --- Jensen-Bregman divergence --- Jensen diversity --- Jensen-Shannon divergence --- capacitory discrimination --- Jensen-Shannon centroid --- mixture family --- information geometry --- difference of convex (DC) programming --- conditional Rényi divergence --- horse betting --- Kelly gambling --- Rényi divergence --- Rényi mutual information --- relative entropy --- chi-squared divergence --- f-divergences --- method of types --- large deviations --- strong data-processing inequalities --- information contraction --- maximal correlation --- Markov chains --- information inequalities --- mutual information --- Rényi entropy --- Carlson-Levin inequality --- information measures --- hypothesis testing --- total variation --- skew-divergence --- convexity --- Pinsker's inequality --- Bayes risk --- statistical divergences --- minimum divergence estimator --- maximum likelihood --- bootstrap --- conditional limit theorem --- Bahadur efficiency --- α-mutual information --- Augustin-Csiszár mutual information --- data transmission --- error exponents --- dimensionality reduction --- discriminant analysis --- statistical inference

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This book represents the efforts of different authors to analyze and provide solid evidence that supports training regulations based on monitoring strategies. This Special Issue includes original articles with some diversity, i.e., considering that different age groups, competitive levels, expertise, and conditions were researched regarding the main topics of training load and performance monitoring, recovery, wellbeing, and illness and injury prevention. Psychophysiological aspects were considered, as were locomotor and mechanical demands and tactical responses. The myriad outcomes analyzed present the reader with an overview of the state of the art and possible new directions for future research. In this book, readers will be also able to find systematic reviews about the key topics.

Lifestyle, sport & leisure --- soccer --- training --- competition --- match --- physical responses --- physiological responses --- futsal --- performance --- heart rate variability --- training load --- general wellness --- autonomic function --- contextual variables --- non-lineal locomotion --- inertial devices --- monitoring --- sports performance --- agility --- reaction time --- CODS --- testing --- athletic performance --- cognition --- cycling --- fatigue --- running --- swimming --- ultra-endurance --- collective behaviors --- categories --- centroid --- stretch index --- team behaviour --- tactic --- dyad --- entropy --- relative phase --- HIIT --- power output --- fat reduction --- fitness --- lean body mass --- irisin --- health --- basal metabolism --- incidence --- risk factors --- team sport --- anthropometry --- BIA --- body composition --- football --- predictive equation --- simulated match-play --- leg stiffness --- reactive strength --- EMG --- isokinetic --- functional movement screen --- injury prevention --- core strength --- stability training --- students --- longitudinal study --- match running performance --- professional soccer leagues --- external load --- drill-based games --- interval training --- repeated sprint --- spinal cord injury --- para-athletes --- muscle strength --- disabled persons --- women --- team sports --- elite --- injury