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Stochastic Geometry
In mathematics, stochastic geometry is the study of random spatial patterns. At the heart of the subject lies the study of random point patterns. This leads to the theory of spatial point processes, hence notions of Palm conditioning, which extend to the more abstract setting of random measures. Models There are various models for point processes, typically based on but going beyond the classic homogeneous Poisson point process (the basic model for ''complete spatial randomness'') to find expressive models which allow effective statistical methods. The point pattern theory provides a major building block for generation of random object processes, allowing construction of elaborate random spatial patterns. The simplest version, the Boolean model, places a random compact object at each point of a Poisson point process. More complex versions allow interactions based in various ways on the geometry of objects. Different directions of application include: the production of models ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
SIAM Journal On Applied Mathematics
The ''SIAM Journal on Applied Mathematics'' is a peer-reviewed academic journal in applied mathematics published by the Society for Industrial and Applied Mathematics (SIAM), with Paul A. Martin (Colorado School of Mines) as its editor-in-chief. It was founded in 1953 as SIAM's first journal, the ''Journal of the Society for Industrial and Applied Mathematics'', and was given its current name in 1966. In most years since 1999, it has been ranked by SCImago Journal Rank as a second-quartile journal in applied mathematics. Together with ''Communications on Pure and Applied Mathematics ''Communications on Pure and Applied Mathematics'' is a monthly peer-reviewed scientific journal which is published by John Wiley & Sons on behalf of the Courant Institute of Mathematical Sciences. It covers research originating from or solicited b ...'' it has been called "one of the two greatest American entries in applied math".. References {{Society for Industrial and Applied Mathematics Mathemat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phase Transitions And Critical Phenomena
''Phase Transitions and Critical Phenomena'' is a 20-volume series of books, comprising review articles on phase transitions and critical phenomena, published during 1972-2001. It is "considered the most authoritative series on the topic". Volumes 1-6 were edited by Cyril Domb and Melville S. Green, and after Green's death, volumes 7-20 were edited by Domb and Joel Lebowitz. Volume 4 was never published. Volume 5 was published in two volumes, as 5A and 5B. Contents * Volume 1: ''Exact Results'' (1972) ** 'Introductory Note on Phase Transitions and Critical Phenomena', by C.N. Yang. ** 'Rigorous Results and Theorems', by R.B. Griffiths. ** 'Dilute Quantum Systems', by J. Ginibre. ** 'The C*-Algebraic Approach to Phase Transitions', by G.G. Emch. ** 'One-dimensional Models — Short Range Forces', by C.J. Thompson ** 'Two-dimensional Ising Models', by H.N.V. Temperley. ** 'Transformation of Ising Models', by I. Syozi. ** 'Two-dimensional Ferroelectric Models', by E.H. Lieb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Centrum Wiskunde & Informatica
The (abbr. CWI; English: "National Research Institute for Mathematics and Computer Science") is a research centre in the field of mathematics and theoretical computer science. It is part of the institutes organization of the Dutch Research Council (NWO) and is located at the Amsterdam Science Park. This institute is famous as the creation site of the programming language Python. It was a founding member of the European Research Consortium for Informatics and Mathematics (ERCIM). Early history The institute was founded in 1946 by Johannes van der Corput, David van Dantzig, Jurjen Koksma, Hendrik Anthony Kramers, Marcel Minnaert and Jan Arnoldus Schouten. It was originally called ''Mathematical Centre'' (in Dutch: ''Mathematisch Centrum''). One early mission was to develop mathematical prediction models to assist large Dutch engineering projects, such as the Delta Works. During this early period, the Mathematics Institute also helped with designing the wings of the Fokker F27 F ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Image Analysis
Image analysis or imagery analysis is the extraction of meaningful information from images; mainly from digital images by means of digital image processing techniques. Image analysis tasks can be as simple as reading bar coded tags or as sophisticated as identifying a person from their face. Computers are indispensable for the analysis of large amounts of data, for tasks that require complex computation, or for the extraction of quantitative information. On the other hand, the human visual cortex is an excellent image analysis apparatus, especially for extracting higher-level information, and for many applications — including medicine, security, and remote sensing — human analysts still cannot be replaced by computers. For this reason, many important image analysis tools such as edge detectors and neural networks are inspired by human visual perception models. Digital Digital Image Analysis or Computer Image Analysis is when a computer or electrical device au ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multivariate Analysis
Multivariate statistics is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable. Multivariate statistics concerns understanding the different aims and background of each of the different forms of multivariate analysis, and how they relate to each other. The practical application of multivariate statistics to a particular problem may involve several types of univariate and multivariate analyses in order to understand the relationships between variables and their relevance to the problem being studied. In addition, multivariate statistics is concerned with multivariate probability distributions, in terms of both :*how these can be used to represent the distributions of observed data; :*how they can be used as part of statistical inference, particularly where several different quantities are of interest to the same analysis. Certain types of problems involving multivariate data, for example simple linear regression an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Springer-Verlag
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology ". Springer Science+Business Media. In 1964, Springer expanded its business internationally, o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Statistical Science
''Statistical Science'' is a review journal published by the Institute of Mathematical Statistics. The founding editor was Morris H. DeGroot, who explained the mission of the journal in his 1986 editorial: "A central purpose of ''Statistical Science'' is to convey the richness, breadth and unity of the field by presenting the full range of contemporary statistical thought at a modest technical level accessible to the wide community of practitioners, teachers, researchers and students of statistics and probability." Editors * 2017-2019 Cun-Hui Zhang * 2014-2016 Peter Green (statistician), Peter Green * 2011-2013 Jon Wellner * 2008-2010 David Madigan * 2005-2007 Ed George * 2002-2004 George Casella * 2001 Morris Eaton * 2001 Richard Tweedie * 1998-2000 Leon Gleser * 1995-1997 Paul Switzer * 1992-1994 Rob Kass, Robert E. Kass * 1989-1991 Carl Morris (statistician), Carl N. Morris * 1985-1989 Morris H. DeGroot References Further rea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
IEEE Antennas And Wireless Propagation Letters
''IEEE Antennas and Wireless Propagation Letters'' is an annual peer-reviewed scientific journal with the goal of rapid dissemination of short manuscripts in the antennas and wireless propagation domains. It is an official journal of the IEEE Antennas & Propagation Society. The current editor-in-chief is Professor Christophe Fumeaux (The University of Adelaide). Abstracting and indexing The journal is abstracted and indexed by Science Citation Index Expanded and Current Contents/Engineering, Computing & Technology. According to the ''Journal Citation Reports'', the journal had a impact factor of 3.834 in 2020. History The journal was established in 2002 with Piergiorgio Uslenghi (University of Illinois at Chicago) as the founding editor-in-chief. He was succeeded in 2008 by Professor Gianluca Lazzi (University of Utah). Professor Yang Hao (Queen Mary University of London , mottoeng = With united powers , established = 1785 – The London Hospital Medical College1843 â ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fading
In wireless communications, fading is variation of the attenuation of a signal with various variables. These variables include time, geographical position, and radio frequency. Fading is often modeled as a random process. A fading channel is a communication channel that experiences fading. In wireless systems, fading may either be due to multipath propagation, referred to as multipath-induced fading, weather (particularly rain), or shadowing from obstacles affecting the wave propagation, sometimes referred to as shadow fading. Key concepts The presence of reflectors in the environment surrounding a transmitter and receiver create multiple paths that a transmitted signal can traverse. As a result, the receiver sees the superposition of multiple copies of the transmitted signal, each traversing a different path. Each signal copy will experience differences in attenuation, delay and phase shift while traveling from the source to the receiver. This can result in either construc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Telecommunication Systems
A communications system or communication system is a collection of individual telecommunications networks, transmission systems, relay stations, tributary stations, and terminal equipment usually capable of interconnection and interoperation to form an integrated whole. The components of a communications system serve a common purpose, are technically compatible, use common procedures, respond to controls, and operate in union. Telecommunications is a method of communication (e.g., for sports broadcasting, mass media, journalism, etc.). Communication is the act of conveying intended meanings from one entity or group to another through the use of mutually understood signs and semiotic rules. Types By media An optical communication system is any form of telecommunication that uses light as the transmission medium. Equipment consists of a transmitter, which encodes a ''message'' into an optical ''signal'', a ''communication channel'', which carries the signal to its destinat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stochastic Geometry Models Of Wireless Networks
In mathematics and telecommunications, stochastic geometry models of wireless networks refer to mathematical models based on stochastic geometry that are designed to represent aspects of wireless networks. The related research consists of analyzing these models with the aim of better understanding wireless communication networks in order to predict and control various network performance metrics. The models require using techniques from stochastic geometry and related fields including point processes, spatial statistics, geometric probability, percolation theory, as well as methods from more general mathematical disciplines such as geometry, probability theory, stochastic processes, queueing theory, information theory, and Fourier analysis.F. Baccelli and B. Błaszczyszyn. ''Stochastic Geometry and Wireless Networks, Volume I — Theory'', volume 3, No 3–4 of ''Foundations and Trends in Networking''. NoW Publishers, 2009.F. Baccelli and B. Błaszczyszyn. ''Stochastic Geometry ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
