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An Updated and Revised Edition of the Most Popular General Knowledge Manual. FEATURES * Up-to-date, comprehensive and all purpose in approach * Includes a set of multiple-choice questions at the end of each section to test your understanding * Based on current trends in various examinations * National and international current affairs included
Test Your Numerical,Verbal,Non-Verbal Aptitude will allow those who are uncertain of their numerical ability to build their confidence, slowly and surely, until they are ready to tackle any kind of numerical test. For those who already have some numerical skills, this book will provide a chance to brush up on your knowledge, and to identify further levels of capability. Test Your Numerical Aptitude also provides motivation and personality tests along with career advice and a career index. The book will help you assess your numerical ability, to determine whether you are suited to a career involving numeracy skills and if so, which one.
This book is designed to meet the needs of the first course in Number Theory for the undergraduate students of various Indian and foreign universities. The students who are appearing at various competitive examinations where mathematics is on for testing shall also find it useful.
CHAPTER 1. STANDARD PSEUDO-DIFFERENTIAL BOUNDARY PROBLEMS AND THEIR REALIZATIONS 1. 1 Introductory remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1. 2 The calculus of pseudo-differential boundary problems . . •. 19 1. 3 Green's formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 1. 4 Realizations and normal boundary conditions . . . . . . . . . . . . . . 39 1. 5 Parameter-ellipticity and parabolicity . . . . . . . . . . . . . . . . . . . 50 1. 6 Adjoints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 1. 7 Semiboundedness and coerciveness . . . . . . . . •...
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In February 2016, physicists announced the breakthrough discovery of the gravitational waves, which were predicted by Albert Einstein in his century-old theory of General Relativity. These gravitational waves were emitted as a result of the collision of two massive black holes that happened about 1.3 billion years ago. They were discovered at the Laser Interferometer Gravitational-Wave Observatory (LIGO) in the United States and thus marked a new milestone for physics. However, it remains unclear to physicists how the gravitational interaction can be included in the Standard Theory of particle physics which describes the electroweak and the strong interactions in our universe.In this volume are the lectures, given by the speakers at the conference on cosmology and particle physics. The discussed topics range from gravitational waves to cosmology, dark matter, dark energy and particle physics beyond the Standard Theory.