Products related to Homogeneous:
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Differential Geometry and Homogeneous Spaces
This textbook offers a rigorous introduction to the foundations of Riemannian Geometry, with a detailed treatment of homogeneous and symmetric spaces, as well as the foundations of the General Theory of Relativity. Starting with the basics of manifolds, it presents key objects of differential geometry, such as Lie groups, vector bundles, and de Rham cohomology, with full mathematical details.Next, the fundamental concepts of Riemannian geometry are introduced, paving the way for the study of homogeneous and symmetric spaces.As an early application, a version of the Poincaré–Hopf and Chern–Gauss–Bonnet Theorems is derived.The final chapter provides an axiomatic deduction of the fundamental equations of the General Theory of Relativity as another important application.Throughout, the theory is illustrated with color figures to promote intuitive understanding, and over 200 exercises are provided (many with solutions) to help master the material. The book is designed to cover a two-semester graduate course for students in mathematics or theoretical physics and can also be used for advanced undergraduate courses.It assumes a solid understanding of multivariable calculus and linear algebra.
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Applied Homogeneous Catalysis : A Tool for Sustainable Chemistry
One-stop reference on homogeneous catalysis, from general concepts through detailed examples and industrial applications Accessible and richly illustrated, Applied Homogeneous Catalysis provides a concise overview of the broad field of homogeneous transition metal catalysis and its applications in the chemical industry.This newly revised and updated second edition puts special emphasis on green chemistry, sustainable resources, and processes.The book is divided into five parts. Part I presents the basics of transition metal catalysis.Part II focuses on process engineering aspects. Part III provides details of the most important catalytic reactions.Part IV describes catalytic conversions closely related to classical homogeneous transition metal catalysis, such as nano-, electro-, photo- and organocatalysis.Part V covers new feedstocks and other topics, concluding with an outlook on future challenges of homogeneous catalysis.The book contains numerous mechanistic details, technical information, and illustrative examples.The chapters are enlivened by various excursions that relate the content to everyday life or introduce important personalities.Didactically, the book is completed with learning objectives and take-home messages for each chapter, as well as more than 400 questions and answers for self-testing.Written by a team of internationally renowned experts in the field, with a wealth of experience in industry and teaching, Applied Homogeneous Catalysis includes information on: Economic importance of industrial homogeneously-catalyzed reactions and basics of organometallic chemistry, including types of bonds, elemental steps, and mechanismsCommon approaches for separating the homogeneous catalyst from the products after the reaction and using combinatorial chemistry and high throughput screening to achieve optimal resultsActivating “inactive” molecules such as carbon dioxide and nitrogen, and harnessing homogeneous catalysis for feedstock diversification by recycling polymers or using renewables. Providing expansive coverage of the subject, Applied Homogeneous Catalysis is an essential guide for Master's and PhD students in organic chemistry, chemical engineering, and related fields, as well as researchers and professionals in the pharmaceutical, polymer, and fine and bulk chemicals industries working on catalysis or entering the field.
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Lewis Acidic Alkali Metal and Aluminum Complexes : Synthesis, Reactivity and Homogeneous Catalysis
Most industrial processes for producing bulk and fine chemicals are transition metal catalyzed.Toxicity and high cost of platinum group metals are triggering the current search for sustainable catalysts.In this regard, nontoxic and earth-abundant alkali metals could become attractive alternatives.They are the most electropositive elements of the periodic table.With a single s electron in the valence shell and a low ionization enthalpy they easily form M+ ions.The vacant, low-energy orbital of the M+ ion is capable of accepting an electron pair.This Lewis acidic property can be utilized in molecular catalysis.Since alkali metal compounds easily dimerize, oligomerize or even polymerize (Scheme A.1-1), suitable ligands are crucial for the isolation of defined metal complexes in their monomeric form.
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Sports Rehabilitation and Injury Prevention
This text provides a comprehensive, practical, evidence-based guide to the field.It covers each stage of the rehabilitation process from initial assessment, diagnosis and treatment, to return to pre-injury fitness and injury prevention.Presenting a holistic approach, this text also addresses the nutritional and psychological aspects of the rehabilitation process for the amateur sports enthusiast as well as elite athletes.Divided into five parts, Parts I, II and III cover screening and assessment, the pathophysiology of sports injuries and healing and the various stages of training during the rehabilitation process.Part IV covers effective clinical decision making, and Part V covers joint specific injuries and pathologies in the shoulder, elbow wrist and hand, groin and knee. Key features: Comprehensive. Covers the complete process from diagnosis and treatment to rehabilitation and prevention of injuries. Practical and relevant. Explores numerous real world case studies and sample rehabilitation programmes to show how to apply the theory in practice. Cutting Edge. Presents the latest research findings in each area to provide an authoritative guide to the field.
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What does homogeneous mean?
Homogeneous refers to a substance or mixture that has a uniform composition throughout. This means that all parts of the substance are the same, with no visible differences or variations. Homogeneous mixtures are often referred to as solutions, where the components are evenly distributed at a molecular level. This uniformity allows for consistent properties and characteristics within the substance.
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Are pharmaceutical tablets homogeneous?
Yes, pharmaceutical tablets are typically designed to be homogeneous, meaning that the active ingredient and other components are evenly distributed throughout the tablet. This ensures that each tablet contains a consistent amount of the active ingredient, allowing for accurate dosing and effectiveness. Homogeneity is an important quality control parameter in the manufacturing of pharmaceutical tablets to ensure their safety and efficacy.
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Is steel homogeneous or heterogeneous?
Steel is considered to be a homogeneous material. This is because steel is a solid solution of iron and carbon atoms, where the atoms are uniformly distributed throughout the material. This uniform distribution gives steel consistent properties and characteristics throughout its structure, making it a homogeneous material.
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Is it homogeneous or heterogeneous?
Homogeneous.
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Equine Injury, Therapy and Rehabilitation
Mary Bromiley's book remains essential reading for both professionals and the general riding community.This new edition builds on the huge success of the previous editions, first published in 1987.Fully updated to reflect recent technological advances in diagnostic ability, as well as the proven physiological effects of light, magnetic fields and electrical currents on body tissues.This information allows readers to both understand and make an informed choice of appropriate therapy following a diagnosed injury. The original edition was the first book on the subject and it has continued to be a bestseller. Covers a subject that is of worldwide interest. The author is recognised as a pioneer at the forefront of this type of treatment.
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The Brain Injury Rehabilitation Workbook
Grounded in a holistic approach, this state-of-the-art workbook provides tools and resources for supporting clients with nonprogressive brain injury.Effective strategies are described for building skills and teaching compensatory strategies in such areas as attention, memory, executive functions, mood, and communication.Particular attention is given to facilitating the challenging process of identity change following a life-altering injury.In a large-size format for easy photocopying, the volume features 93 reproducible client handouts.Purchasers get access to a Web page where they can download and print the reproducible materials.
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Sports Injury Prevention and Rehabilitation : Integrating Medicine and Science for Performance Solutions
World-class rehabilitation of the injured athlete integrates best practice in sports medicine and physical therapy with training and conditioning techniques based on cutting-edge sports science.In this ground-breaking new book, leading sports injury and rehabilitation professionals, strength and conditioning coaches, biomechanists and sport scientists show how this integrated model works across the spectrum of athlete care.In every chapter, there is a sharp focus on the return to performance, rather than just a return to play. The book introduces evidence-based best practice in all the core areas of sports injury risk management and rehabilitation, including:performance frameworks for medical and injury screening; the science of pain and the psychology of injury and rehabilitation; developing core stability and flexibility; performance retraining of muscle, tendon and bone injuries; recovery from training and rehabilitation; end-stage rehabilitation, testing and training for a return to performance. Every chapter offers a masterclass from a range of elite sport professionals, containing best practice protocols, procedures and specimen programmes designed for high performance.No other book examines rehabilitation in such detail from a high performance standpoint.Sports Injury Prevention and Rehabilitation is essential reading for any course in sports medicine and rehabilitation, strength and conditioning, sports science, and for any clinician, coach or high performance professional working to prevent or rehabilitate sports injuries.
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Injury Prevention and Rehabilitation in Sport
Injury Prevention and Rehabilitation in Sport examines the key factors at play in the reduction and prevention of injury to athletes at all levels of sport. The book combines the latest scientific research with a critical review of current literature and the author's own personal experience working in the field of strength and conditioning at elite level to explain why certain modalities should or should not be prescribed by strength and conditioning coaches. There are full colour sequenced photographs showing the correct techniques for a wide variety of essential strength exercises. Other topics covered include how to effectively manage recovery and avoid overtraining; techniques for range of movement and corrective exercise; the most effective methods for shoulder and trunk stability; the theory and practice of propioception and plyometrics and how they can improve performance; the different methods employed when working with female or maturing athletes and the physiological impact of factors such as sleep patterns, travel, climate and illness on performance. The book concludes with a series of case studies that illustrate how to put theory into practice.
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Is bronze heterogeneous or homogeneous?
Bronze is considered a heterogeneous mixture. This is because bronze is an alloy made up of copper and tin, which are two different elements. These elements are not uniformly distributed throughout the bronze, resulting in different regions with varying compositions. This makes bronze a heterogeneous material.
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Is smoke homogeneous or heterogeneous?
Smoke is considered heterogeneous because it is made up of a mixture of different particles and gases suspended in the air. These particles can vary in size, composition, and density, making smoke a non-uniform mixture.
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Why are aerosols not homogeneous?
Aerosols are not homogeneous because they are composed of a mixture of different particles suspended in a gas. These particles can vary in size, shape, and composition, leading to a lack of uniformity within the aerosol. Additionally, aerosols can be influenced by various factors such as air currents, temperature gradients, and chemical reactions, further contributing to their non-homogeneous nature. This lack of uniformity can impact the behavior and properties of aerosols, making them a complex and dynamic system to study.
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Is fire homogeneous or heterogeneous?
Fire is considered heterogeneous because it is a combination of different gases, solids, and plasma. It is made up of various components such as carbon dioxide, water vapor, oxygen, and nitrogen, all reacting together to produce flames. This mixture of different substances gives fire its varied colors and properties, making it a heterogeneous system.
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