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The failure of all attempts to unify gravitation with other fundamental interactions has lead to an abandonment of point particles and differentiable spacetime of General Relativity and Quantum Theory, including Quantum Field Theory. While Quantum Superstrings (or M-Theory) and other Quantum Gravity approaches work with a lattice like structure or extended objects, several unanswered questions remain. The book describes another approach in which oscillators at the Planck scale from a background Quantum Vacuum are fundamental. We describe how this leads to the formation of the elementary partic
Space and time. --- Relativity (Physics) --- Cosmology. --- Fluctuations (Physics) --- Astronomy --- Deism --- Metaphysics --- Variations (Physics) --- Stochastic processes --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Astronomy. --- Quantum theory. --- Astronomy, Astrophysics and Cosmology. --- Quantum Physics. --- Classical and Quantum Gravitation, Relativity Theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Astrophysics. --- Quantum physics. --- Gravitation. --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Astronomical physics --- Cosmic physics --- Properties
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Shortly after its inauguration in 1985 the Birla Science Centre, Hyderabad, India, started a series of lectures by Nobel Laureates and other scientists of international renown, usually in Physics and Astronomy, sometimes in Life Sciences and Chemistry. The present collection mostly consists of lectures on frontier topics. The transcript of each lecture is preceded by a short biography of the Nobel Laureate/Scientist in question. The lectures are aimed at, and accessible to a wide non-specialist but higher educated audience.
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Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.
Differential equations. --- Inequalities (Mathematics). --- Integral equations. --- Integral inequalities. --- Opial inequalities. --- Engineering & Applied Sciences --- Applied Mathematics --- Equations, Integral --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Analysis. --- Integral Equations. --- Functional equations --- Functional analysis --- 517.1 Mathematical analysis --- Mathematical analysis --- Math --- Science --- Inequalities (Mathematics) --- Global analysis (Mathematics). --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic
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For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. In particular, there exists a very rich literature related to the well known Cebysev, Gruss, Trapezoid, Ostrowski, Hadamard and Jensen type inequalities. The present monograph is an attempt to organize recent progress related to the above inequalities, which we hope will widen the scope of their applications. The field to be covered is extremely wide and it is impossible to treat all of these here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with a reasonable background in real analysis and an acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be invaluable reading for mathematicians and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.
Inequalities (Mathematics). --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Inequalities (Mathematics) --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Mathematics. --- Functions of real variables. --- Real Functions. --- Real variables --- Functions of complex variables --- Math --- Science --- Processes, Infinite
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Drawing on empirical, interdisciplinary research, this book presents a critical review of some of the major issues that are of interest to researchers, policymakers and planners in developing as well as advanced countries, including specifically in India. It provides an in-depth review of some of the major development policy issues in education in general, and in India in particular, over the past 2-3 decades. Besides presenting an overview of the educational developments in India that reflects issues such as growth, equity, efficiency, foreign aid, decentralization, center-state relations, financing, and cost recovery, the book puts forward in-depth analyses of education poverty, interrelations between education and poverty, low level of outcomes in elementary education, effects of structural adjustment policies and approaches on education, south-south cooperation, etc. It also critically discusses changes in policies relating to financing higher education, external assistance for education, and how the growth of private higher education is affecting society at large. The dichotomy between public policy and action is also highlighted in many chapters. On the whole, while the importance of education is being increasingly recognized, the state does not seem to be as willing to foot the bill for education as the households and even the private sector. Occasionally contrasting with international evidence on, for example, financing higher education, private higher education, or the effects of neo-liberal policies, the book offers an interesting read for a wider audience. .
Education --- Economic aspects --- Social aspects --- Education and state. --- Educational Policy and Politics. --- Administration, Organization and Leadership. --- Education Policy. --- Sociology of Education. --- Education policy --- Educational policy --- State and education --- Social policy --- Endowment of research --- Government policy
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The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have become a major tool in the analysis of various branches of mathematics.* It contains a variety of inequalities which find numerous applications in various branches of mathematics.* It contains many inequalities which have only recently appeared in the literature and cannot yet be found in other books.* It will be a valuable reference for someone requiring a result about inequalities for use in some applications in various o
Inequalities (Mathematics) --- Processes, Infinite. --- Infinite processes --- Continued fractions --- Products, Infinite --- Series --- Processes, Infinite
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This book offers a cutting-edge contribution on the importance of secondary education and assesses the strengths and weaknesses of its growth in India. Secondary education, long neglected, faces countless challenges and will require tremendous financial resources, millions of additional trained teachers, and vast infrastructure in terms of buildings, laboratories, libraries, ICT facilities, etc. The book examines these critical issues, with particular reference to the situation in India. It analyses the status quo of secondary education and discusses the strategies and approaches needed in order to universalize it. Including 20 chapters authored by eminent scholars in the field and from across the country, this book gathers the outcomes of a seminar organized by the Council for Social Development on Universalization of Secondary Education. The target audience includes policymakers, practitioners, administrators, education planners, researchers, teachers, and teacher educators with an interest in the future of secondary education.
Education, Secondary --- Central government policies. --- Educational strategies & policy. --- Children --- High school education --- High school students --- Secondary education --- Secondary schools --- Teenagers --- Education --- High schools --- Education (Secondary) --- Educational policy. --- Education and state. --- Educational Policy and Politics. --- Education Policy. --- Education policy --- Educational policy --- State and education --- Social policy --- Endowment of research --- Government policy
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This book highlights selected contributions presented at the 15th annual international symposium Frontiers of Fundamental Physics (FFP15), with the aim of informing readers about the most important recent advances in fundamental physics and physics education research. The FFP series offers a platform for physicists from around the world to present their latest theories and findings. The latest symposium was held in Orihuela, Spain and covered diverse fields of research, including gravitation, astronomy and astrophysics, physics of complex systems, high-energy physics, and mathematical physics. Considerable attention was also paid to physics education research, teacher education in physics, and the popularization of physics. In a knowledge-based society, research into fundamental physics plays a vital role in both the advancement of human knowledge and the development of new technologies. Presenting valuable new peer-reviewed contributions submitted from 15 countries, this book will appeal to a broad audience of scholars and researchers.
Mathematical physics. --- Teaching. --- Science—Social aspects. --- Astronomy. --- Astrophysics. --- Theoretical, Mathematical and Computational Physics. --- Mathematical Physics. --- Teaching and Teacher Education. --- Societal Aspects of Physics, Outreach and Education. --- Astronomy, Astrophysics and Cosmology. --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Didactics --- Instruction --- Pedagogy --- School teaching --- Schoolteaching --- Education --- Instructional systems --- Pedagogical content knowledge --- Training --- Physical mathematics --- Mathematics --- Research --- Study and teaching --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies.- Contains a variety of inequalities discovered which fin
Differential inequalities. --- Integral inequalities. --- Finite differences. --- Inequalities (Mathematics) --- Differences, Finite --- Finite difference method --- Numerical analysis
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Mathematical statistics --- Analytical chemistry --- Chemistry, Analytic - Statistical methods --- Chemistry, Analytic - Mathematics --- Chemistry, Analytic - Data processing --- Chemometrics. --- Chimie analytique --- Data processing. --- Méthodes statistiques --- Informatique --- Chemistry, Analytic --- 519.22 --- 519.25 --- 543.08 --- 543.08 Analytical measurement --- Analytical measurement --- 519.25 Statistical data handling --- Statistical data handling --- 519.22 Statistical theory. Statistical models. Mathematical statistics in general --- Statistical theory. Statistical models. Mathematical statistics in general --- Analysis, Chemical --- Analytic chemistry --- Chemical analysis --- Chemistry --- Data processing --- Mathematics --- Statistical methods --- Statistical methods. --- Mathematics. --- Chemometrics
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