Mathematical physics

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  • Although Continuum Mechanics belongs to a traditional topic, the research in this field has never been stopped. The goal of this book is to introduce the latest progress in the fundamental aspects and the applications in various engineering areas. The first three chapters are on the fundamentals of Continuum Mechanics. Chapter 1 introduces the Spencer Operator and presents the applications of this useful operator in solving Continuum Mechanics problems. The authors extend the ideas for tackling general Mathematical Physics problems. Chapter 2 is on Transversality Condition.

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  • Russian mathematics (later Soviet mathematics, and Russian mathematics once again) occupies a special place in twentieth-century mathematics. In addition to its well-known achievements, Russian mathematics established a unique style of research based on the existence of prominent mathematical schools. These schools were headed by recognized leaders, who became famous due to their talents and outstanding contributions to science.

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  • VNU. JOURNAL OF SCIENCE, Mathematics - Physics, T.xXI, n02, 2005 Nguyen Thi Minh Hanga,b, Chien-Hung Hoc, Vu Ngoc Hungb, Nguyen Phu Thuyb,d a d Center for Micro Electronic and Information Technology (IMET) International Training Institute for Materials Science (ITIMS) c Precision Instrument Development Center (PIDC) College of Technology, Vietnam National University, Hanoi (VNU) b Abstract. Thanks to almost transparent property of SU8 for wavelength of 365400nm, UV-LIGA technology using this photoresist has been applied to fabricate high-aspect-ratio (HAR) microstructures.

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  • VNU Journal of Science, Mathematics - Physics 25 (2009) 21-38 Proper Orthogonal Decomposition and its Proper Transformations has been applied widely in many engineering topics including the wind engineering recently due to its advantage of optimum approximation of multi-variate random fields using the modal decomposition and limited number of dominantly orthogonal eigenvectors.

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  • This text will strengthen a student's ability to apply the laws of physics to practical situations and problems that yield more easily to intuitive insight than to complex mathematics. These problems, chosen almost exclusively from classical (non-quantum) physics, are posed in accessible nontechnical language and require the student to select the right framework in which to analyze the situation. The book will be invaluable to undergraduates preparing for "general physics" papers. Some physics professors will even find the more difficult questions challenging.

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  • Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent treatment of mathematical methods, bringing advanced mathematical tools to a multidisciplinary audience. The growing interest in interdisciplinary studies has brought scientists from many disciplines such as physics, mathematics, chemistry, biology, economics, and finance together, which has increased the demand for courses in upper-level mathematical techniques.

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  • Some people make physical chemistry sound more confusing than it really is. One of their best tricks is to define it inaccurately, saying it is ‘the physics of chemicals’. This definition is sometimes quite good, since it suggests we look at a chemical system and ascertain how it follows the laws of nature. This is true, but it suggests that chemistry is merely a sub-branch of physics; and the notoriously mathematical nature of physics impels us to avoid this otherwise useful way of looking at physical chemistry....

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  • This is an intermediate level post-calculus text on mathematical and statistical methods, directed toward the needs of chemists. It has developed out of a course that I teach at the University of Massachusetts Dartmouth for thirdyear undergraduate chemistry majors and, with additional assignments, for chemistry graduate students.

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  • The objective of this manual is to improve the international exchange of scientific information. The recommendations made to achieve this end come under three general headings. The first is the use of quantity calculus for handling physical quantities, and the general rules for the symbolism of quantities and units, described in chapter 1. The second is the use of internationally agreed symbols for the most frequently used quantities, described in chapter 2.

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  • Robotics and computer vision are interdisciplinary subjects at the intersection of engineering and computer science. By their nature, they deal with both computers and the physical world. Although the former are in the latter, the workings of computers are best described in the black-and-white vocabulary of discrete mathematics, which is foreign to most classical models of reality, quantum physics notwithstanding. This class surveys some of the key tools of applied math to be used at the interface of continuous and discrete. It is not on robotics or computer vision.

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  • Knowledge of the Earth’s structure and dynamics calls for a multi-disciplinary study that makes use of the most advanced methods of Physics, Chemistry, Geology, Mathematics and Information Technology, in the framework, or in close collaboration with, the different branches of Earth Sciences such as Geology, Geophysics and Geodesy.

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  • Tham khảo sách 'mathematics and physics of emerging biomedical imaging', khoa học tự nhiên, vật lý phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Our primary objective herein is not to determine how approximate calculations introduce errors into situations with accurate hypotheses, but instead to study how rigorous calculations transmit errors due to inaccurate parameters or hypotheses. Unlike quantities represented by entire numbers, the continuous quantities generated from physics, economics or engineering sciences, as represented by one or several real numbers, are compromised by errors.

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  • This work develops and defends a structural view of the nature of mathematics, which is used to explain a number of striking features of mathematics that have puzzled philosophers for centuries. It rejects the most widely held philosophical view of mathematics (Platonism), according to which mathematics is a science dealing with mathematical objects such as sets and numbers—objects which are believed not to exist in the physical world.

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  • This manuscript is based on lectures given by Marshall Baker for a class on Mathematical Methods in Physics at the University of Washington in 1988. The subject of the lectures was Green’s function techniques in Physics. All the members of the class had completed the equivalent of the first three and a half years of the undergraduate physics program, although some had significantly more background. The class was a preparation for graduate study in physics.

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  • Collection of research reports best university in 2008 honored the author: 1. Housing Ta Khac Luong Quoc Tuyen Nguyen Thi Thu Ha, Le Thi Ngoc, the probability measure functor preserving some topological properties that ... science (Scientia, in Latin, meaning "knowledge" or "understanding") is the efforts to implement the invention, and increased knowledge of the human understanding of how the operation of the physical world around them.

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  • The aim of this introduction is to offer a brief outline of Bohr’s complementarity as an interpretation of quantum mechanics and of the phenomena in question in it, quantum phenomena. This outline may be seen as primarily philosophical insofar as it aims to delineate the philosophical content of Bohr’s key concepts.

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  • In response to requests from Congress, NASA asked the National Research Council to undertake a decadal survey of life and physical sciences in microgravity. Developed in consultation with members of the life and physical sciences communities, the guiding principle for the study is to set an agenda for research for the next decade that will allow the use of the space environment to solve complex problems in life and physical sciences so as to deliver both new knowledge and practical benefits for humankind as we become a spacefaring people.

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  • Five years after the meeting "Quaternionic Structures in Mathematics and Physics", which took place at the International School for Advanced Studies (SISSA), Trieste, 5-9 September 1994, we felt it was time to have another meeting on the same subject to bring together scientists from both areas. The second Meeting on Quaternionic Structures in Mathematics and Physics was held in Rome, 6-10 September 1999.

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  • The emergence of a new paradigm in science offers vast perspectives for future investigations, as well as providing fresh insight into existing areas of knowledge, discovering hitherto unknown relations between them. We can observe this kind of process in connection with the appearance of the concept of solitons [465].

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