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Charles Anthony Micchelli
Charles Anthony Micchelli (born December 22, 1942) is an American mathematician, with an international reputation in numerical analysis, approximation theory, and machine learning. Biography As the youngest of four children, he was born into an Italian-American family in Newark, New Jersey. After graduating from Newark's East Side High School, he attended Rutgers University, where he graduated in 1964 with a bachelor's degree in mathematics. He then became a graduate student at Stanford University. After taking a course on Chebyshev polynomials taught by Gábor Szegő, he became interested in approximation theory. Micchelli graduated in 1969 with a PhD from Stanford University. (in Spanish) His PhD thesis ''Saturation Classes and Iterates of Operators'' was supervised by Samuel Karlin. Influenced by Gene Golub and recognizing the growing importance of computers and numerical analysis, Micchelli accepted a postgraduate invitation at the University of Uppsala's computer sciences de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Refinable Function
In mathematics, in the area of wavelet analysis, a refinable function is a function which fulfils some kind of self-similarity. A function \varphi is called refinable with respect to the mask h if :\varphi(x)=2\cdot\sum_^ h_k\cdot\varphi(2\cdot x-k) This condition is called refinement equation, dilation equation or two-scale equation. Using the convolution (denoted by a star, *) of a function with a discrete mask and the dilation operator D one can write more concisely: :\varphi=2\cdot D_ (h * \varphi) It means that one obtains the function, again, if you convolve the function with a discrete mask and then scale it back. There is a similarity to iterated function systems and de Rham curves. The operator \varphi\mapsto 2\cdot D_ (h * \varphi) is linear. A refinable function is an eigenfunction of that operator. Its absolute value is not uniquely defined. That is, if \varphi is a refinable function, then for every c the function c\cdot\varphi is refinable, too. These functions p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kluwer Academic Publishers
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] |
Israel Journal Of Mathematics
'' Israel Journal of Mathematics'' is a peer-reviewed mathematics journal published by the Hebrew University of Jerusalem (Magnes Press). Founded in 1963, as a continuation of the ''Bulletin of the Research Council of Israel'' (Section F), the journal publishes articles on all areas of mathematics. The journal is indexed by ''Mathematical Reviews'' and Zentralblatt MATH. Its 2009 MCQ was 0.70, and its 2009 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a scientometric index calculated by Clarivate that reflects the yearly mean number of citations of articles published in the last two years in a given journal, as i ... was 0.754. External links * Mathematics journals Publications established in 1963 English-language journals Bimonthly journals Hebrew University of Jerusalem {{math-journal-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Washington University School Of Medicine
Washington University School of Medicine (WUSM) is the medical school of Washington University in St. Louis in St. Louis, Missouri. Founded in 1891, the School of Medicine has 1,260 students, 604 of which are pursuing a medical degree with or without a combined Doctor of Philosophy or other advanced degree. It also offers doctorate degrees in biomedical research through the Division of Biology and Biological Sciences. The School has developed large physical therapy (273 students) and occupational therapy (233 students) programs, as well as the Program in Audiology and Communication Sciences (100 students) which includes a Doctor of Audiology (Au.D.) degree and a Master of Science in Deaf Education (M.S.D.E.) degree. There are 1,772 faculty, 1,022 residents, and 765 fellows. The clinical service is provided by Washington University Physicians, a comprehensive medical and surgical practice providing treatment in more than 75 medical specialties. Washington University Physicians ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tenerife
Tenerife (; ; formerly spelled ''Teneriffe'') is the largest and most populous island of the Canary Islands. It is home to 43% of the total population of the archipelago. With a land area of and a population of 978,100 inhabitants as of January 2022, it is also the most populous island of Spain and of Macaronesia. Approximately five million tourists visit Tenerife each year; it is the most visited island in the archipelago. It is one of the most important tourist destinations in Spain and the world, hosting one of the world's largest carnivals, the Carnival of Santa Cruz de Tenerife. The capital of the island, , is also the seat of the island council (). That city and are the co-capitals of the autonomous community of the Canary Islands. The two cities are both home to governmental institutions, such as the offices of the presidency and the ministries. This has been the arrangement since 1927, when the Crown ordered it. (After the 1833 territorial division of Spain, until ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Puerto De La Cruz
Puerto de la Cruz is a city and municipality in the northern part of the island of Tenerife, Canary Islands, Spain. It was formerly known by its English translation, "Port of the Cross", although now it is known by its Spanish name in all languages. Puerto de la Cruz is located on the northern coast, northwest of La Orotava and west of Santa Cruz de Tenerife. The TF-5 motorway passes through the municipality. The population is 30,483 (2018). In Spanish, the local inhabitants are known as ''Portuenses''. With an area of , the municipality is the smallest in Tenerife. The elevation of the town's centre is above sea level and the highest point being Las Arenas, a volcanic cone with an elevation of . Historical population Economy Puerto de la Cruz occupies a prominent place in the history of tourism of the islands. The export economy established by the European colonizers after the conquest in the 15th century generated large commercial and passenger movements for decades. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Zaragoza
The University of Zaragoza, sometimes referred to as Saragossa University () is a public university with teaching campuses and research centres spread over the three provinces of Aragon, Spain. Founded in 1542, it is one of the oldest universities in Spain, with a history dating back to the Roman period. Prime Ministers Pascual Madoz, Manuel Azaña, Salustiano de Olózaga and Eusebio Bardají, the Nobel Prize laureate and father of modern neuroscience Santiago Ramón y Cajal, the Catholic saint Josemaría Escrivá and the Cuban national hero Jose Marti studied at this university. History Beginnings Ecclesiastical schools were the initial elements of the University of Zaragoza. These schools were later consolidated into the School of Zaragoza, led by Bishop Braulio during the seventh century (who would later be made the patron saint of the university). The School of Arts officially became a university in 1542, though some scholars argue it could be considered a university o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Research Institute Of Oberwolfach
The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do collaborative research. The Institute is a member of the Leibniz Association, funded mainly by the German Federal Ministry of Education and Research and by the state of Baden-Württemberg. It also receives substantial funding from the ''Friends of Oberwolfach'' foundation, from the ''Oberwolfach Foundation'' and from numerous donors. History The Oberwolfach Research Institute for Mathematics (MFO) was founded as the ''Reich Institute of Mathematics'' (German: ''Reichsinstitut für Mathematik'') on 1 September 1944. It was one of several research institutes founded by the Nazis in order to further the German war effort, which at that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Neural Network
A neural network is a network or circuit of biological neurons, or, in a modern sense, an artificial neural network, composed of artificial neurons or nodes. Thus, a neural network is either a biological neural network, made up of biological neurons, or an artificial neural network, used for solving artificial intelligence (AI) problems. The connections of the biological neuron are modeled in artificial neural networks as weights between nodes. A positive weight reflects an excitatory connection, while negative values mean inhibitory connections. All inputs are modified by a weight and summed. This activity is referred to as a linear combination. Finally, an activation function controls the amplitude of the output. For example, an acceptable range of output is usually between 0 and 1, or it could be −1 and 1. These artificial networks may be used for predictive modeling, adaptive control and applications where they can be trained via a dataset. Self-learning resulting from e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Radial Function
In mathematics, a radial function is a real-valued function defined on a Euclidean space R''n'' whose value at each point depends only on the distance between that point and the origin. The distance is usually the Euclidian distance. For example, a radial function Φ in two dimensions has the form :\Phi(x,y) = \varphi(r), \quad r = \sqrt where φ is a function of a single non-negative real variable. Radial functions are contrasted with spherical functions, and any descent function (e.g., continuous and rapidly decreasing) on Euclidean space can be decomposed into a series consisting of radial and spherical parts: the solid spherical harmonic expansion. A function is radial if and only if it is invariant under all rotations leaving the origin fixed. That is, ''ƒ'' is radial if and only if :f\circ \rho = f\, for all , the special orthogonal group in ''n'' dimensions. This characterization of radial functions makes it possible also to define radial distributions. These are dist ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
