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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Innovation in Music: Technology and Creativity
Innovation in Music: Technology and Creativity is a groundbreaking collection bringing together contributions from instructors, researchers, and professionals.Split into two sections, covering composition and performance, and technology and innovation, this volume offers truly international perspectives on ever-evolving practices. Including chapters on audience interaction, dynamic music methods, AI, and live electronic performances, this is recommended reading for professionals, students, and researchers looking for global insights into the fields of music production, music business, and music technology.
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Building Rural Community Resilience Through Innovation and Entrepreneurship
Drawing from empirical analyses, case studies, and a synthesis of best practices, this book explores how innovation manifests itself in rural places and how it contributes to entrepreneurial development and resilience.Innovation in rural places may come about as a result of new forms of collaboration; policies that leverage rural assets and address critical service or product gaps; novel strategies for accessing financial capital; infusion of arts into aspects of community life; and cultivation of networks that bridge entrepreneurs, organizations, and institutions.The chapters illustrate how a number of innovation-related characteristics relate to economic vibrancy in rural places such as a strong connection to the arts, adaptive and sustainable use of natural resources, value-chain integrated food systems, robust bridging social capital networks, creative leveraging of technology, and presence of innovation-focused entrepreneurs.Through exploration of these and other topics, this book will provide insights and best practices for rural community and economic development scholars and practitioners seeking to strengthen the rural innovation ecosystem.
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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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Everyday Life-Environmentalism : Community Sustainability and Resilience in Asia
This book provides one of the first systematic introductions to the Japanese concept of life-environmentalism, Seikatsu-Kankyo Shugi.This concept emerged in the 1980s as a shared research framework among Japanese social scientists studying the adverse consequences of postwar industrialization on everyday life in communities. Life-environmentalism offers a lens through which the agency of small communities in sustaining their everyday life and living environment can be understood.The book provides an overview of this approach, including intellectual backgrounds and foundational concepts, along with a variety of empirical case studies that examine environmental and sustainability issues in Japan and other parts of Asia.It also includes critical reflections on the approach in light of contemporary sustainability challenges.The empirical topics covered in the book include local community responses to development projects, resource governance, disaster response and recovery, and historical environmental preservation.The chapters are contributed by researchers working at the forefront of the field.It provides only a glimpse into the vast literature that awaits further exploration and engagement in the future. The book is suitable for upper undergraduate students, graduate students, and researchers interested in environmental problems, sustainability and resilience, disaster mitigation and response, and regional development in Asian contexts, particularly Japan.It is well-suited for courses in anthropology, geography, sociology, urban and regional planning, political science, Asian studies, and environmental studies.
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Fashion and Environmental Sustainability : Entrepreneurship, Innovation and Technology
The wide range of topics that the book covers are organised into sections reflecting a cradle to grave view of how entrepreneurial, innovative, and tech-savvy approaches can advance environmental sustainability in the fashion sector.These sections include: sustainable materials; innovation in design, range planning and product development; sustainable innovations in fashion supply chains; sustainable innovations in fashion retail and marketing; sustainable alternatives for end-of-life and circular economy initiatives; and more sustainable alternative fashion business models.
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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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Climate Change, Community Response and Resilience : Insight for Socio-Ecological Sustainability Volume 6
Climate Change, Community Response, and Resilience: Insight for Socio-Ecological Sustainability, Volume Six presents a fundamental theoretical framework for understanding how community resilience and risk assessment affect climate change adaptation behavior.This framework is based on a 26-chapter theoretical and empirical examination that includes pioneer projects from various regions that illustrate the relationship between theory and practice, reflect a paradigm shift in climate change, community response, and resilience, and focus on these important aspects from a sectoral perspective.Climate change, ecological consequences and resilience are then discussed in the final section. Members of the Royal Meteorological Society are eligible for a 35% discount on all Developments in Weather and Climate Science series titles.See the RMetS member dashboard for the discount code.
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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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