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Alston Householder
Alston Scott Householder (5 May 1904 – 4 July 1993) was an American mathematician who specialized in mathematical biology and numerical analysis. He is the inventor of the Householder transformation and of Householder's method. Career Householder was born in Rockford, Illinois, USA. He received a BA in philosophy from the Northwestern University of Evanston, Illinois in 1925, and an MA, also in philosophy, from Cornell University in 1927. He taught mathematics while preparing for his PhD, which was awarded at the University of Chicago in 1937. His thesis dealt with the topic of the calculus of variations. After receiving his doctorate, Householder concentrated on the field of mathematical biology, working with several other researchers with Nicolas Rashevsky at the University of Chicago. In 1946, Householder joined the Mathematics Division of the Oak Ridge National Laboratory, where he was appointed chair in 1948; it is during this period that his interests shift towar ... [...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 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 cells in medicine a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicolas Rashevsky
Nicolas Rashevsky (November 9, 1899 – January 16, 1972) was an American theoretical physicist who was one of the pioneers of mathematical biology, and is also considered the father of mathematical biophysics and theoretical biology. Robert Rosen ''Essays on Life'' (2004)Evelyn Fox Keller ''Making Sense of Life'' pp. 82-89 Academic career He studied theoretical physics at the St. Vladimir Imperial University of Kiev. He left Russia after the October Revolution, emigrating first to Turkey, then to Poland, France, and finally to the US in 1924. In USA he worked at first for the Westinghouse Research Labs in Pittsburgh where he focused on the theoretical physics modeling of the cell division and the mathematics of cell fission. He was awarded a Rockefeller Fellowship in 1934 and went to the University of Chicago to take up the appointment of assistant professor in the Department of Physiology. In 1938, inspired by reading On Growth and Form (1917) by D'Arcy Wentworth Thomp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marion Webster Richardson
Marion Webster Richardson (1896–1965) was an American educational psychologist and psychometrician. He was a founder of the Psychometric Society and a founder and editor of Psychometrika. He was a co-developer of the Kuder–Richardson Formula 20. One of his most remarkable contributions was the introduction of the technique of multidimensional scaling. His contribution is twofold: he applied the method for the first time—he applied scaling to similarities of colors obtaining a two dimensional representation— and, additionally, he motivated the first algorithm to the problem, the seminal paper of Young Young may refer to: * Offspring, the product of reproduction of a new organism produced by one or more parents * Youth, the time of life when one is young, often meaning the time between childhood and adulthood Music * The Young, an American roc ... and Householder. Sadly, his original paper was a conference proceeding from which only the abstract remains. References ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multidimensional Scaling
Multidimensional scaling (MDS) is a means of visualizing the level of similarity of individual cases of a dataset. MDS is used to translate "information about the pairwise 'distances' among a set of n objects or individuals" into a configuration of n points mapped into an abstract Cartesian space. More technically, MDS refers to a set of related ordination techniques used in information visualization, in particular to display the information contained in a distance matrix. It is a form of non-linear dimensionality reduction. Given a distance matrix with the distances between each pair of objects in a set, and a chosen number of dimensions, ''N'', an MDS algorithm places each object into ''N''-dimensional space (a lower-dimensional representation) such that the between-object distances are preserved as well as possible. For ''N'' = 1, 2, and 3, the resulting points can be visualized on a scatter plot. Core theoretical contributions to MDS were made by James O. Ramsay of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Malibu, California
Malibu ( ; es, Malibú; Chumash: ) is a beach city in the Santa Monica Mountains region of Los Angeles County, California, situated about west of Downtown Los Angeles. It is known for its Mediterranean climate and its strip of the Malibu coast, incorporated in 1991 into the City of Malibu. The exclusive Malibu Colony has been historically home to Hollywood celebrities. People in the entertainment industry and other affluent residents live throughout the city, yet many residents are middle class. Most Malibu residents live from a half-mile (0.8 km) to within a few hundred yards of Pacific Coast Highway ( State Route 1), which traverses the city, with some residents living up to one mile (1.6 km) away from the beach up narrow canyons. As of the 2020 census, the city population was 10,654. Nicknamed "the 'Bu" by surfers and locals, beaches along the Malibu coast include: Topanga Beach, Big Rock Beach, Las Flores Beach, La Costa Beach, Surfrider Beach, Dan Blocker Beach, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alabama
(We dare defend our rights) , anthem = "Alabama" , image_map = Alabama in United States.svg , seat = Montgomery , LargestCity = Huntsville , LargestCounty = Baldwin County , LargestMetro = Greater Birmingham , area_total_km2 = 135,765 , area_total_sq_mi = 52,419 , area_land_km2 = 131,426 , area_land_sq_mi = 50,744 , area_water_km2 = 4,338 , area_water_sq_mi = 1,675 , area_water_percent = 3.2 , area_rank = 30th , length_km = 531 , length_mi = 330 , width_km = 305 , width_mi = 190 , Latitude = 30°11' N to 35° N , Longitude = 84°53' W to 88°28' W , elevation_m = 150 , elevation_ft = 500 , elevation_max_m = 735.5 , elevation_max_ft = 2,413 , elevation_max_point = Mount Cheaha , elevation_min_m = 0 , elevation_min_ft = 0 , elevation_min_point = Gulf of Mexico , OfficialLang = English , Languages = * English 95.1% * Spanish 3.1% , population_demonyms = Alabamian, Alabaman , population_as_of = 2021 , population_rank = 24th , 2010Pop = 5,039,87 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Key Word In Context
Key Word In Context (KWIC) is the most common format for concordance lines. The term KWIC was first coined by Hans Peter Luhn. The system was based on a concept called ''keyword in titles'' which was first proposed for Manchester libraries in 1864 by Andrea Crestadoro. A KWIC index is formed by sorting and aligning the words within an article title to allow each word (except the stop words) in titles to be searchable alphabetically in the index. It was a useful indexing method for technical manuals before computerized full text search became common. For example, a search query including all of the words in an example definition ("KWIC is an acronym for Key Word In Context, the most common format for concordance lines") and the Wikipedia slogan in English ("the free encyclopedia"), searched against a Wikipedia page, might yield a KWIC index as follows. A KWIC index usually uses a wide layout to allow the display of maximum 'in context' information (not shown in the following ex ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Linear Algebra
Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which efficiently and accurately provide approximate answers to questions in continuous mathematics. It is a subfield of numerical analysis, and a type of linear algebra. Computers use floating-point arithmetic and cannot exactly represent irrational data, so when a computer algorithm is applied to a matrix of data, it can sometimes increase the difference between a number stored in the computer and the true number that it is an approximation of. Numerical linear algebra uses properties of vectors and matrices to develop computer algorithms that minimize the error introduced by the computer, and is also concerned with ensuring that the algorithm is as efficient as possible. Numerical linear algebra aims to solve problems of continuous mathematics using finite precision computers, so its applications to the natural and social scienc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
SIAM Journal On Numerical Analysis
The ''SIAM Journal on Numerical Analysis'' (SINUM; until 1965: ''Journal of the Society for Industrial & Applied Mathematics, Series B: Numerical Analysis'') is a peer-reviewed mathematical journal published by the Society for Industrial and Applied Mathematics that covers research on the analysis of numerical methods. The journal was established in 1964 and appears bimonthly. The editor-in-chief is Angela Kunoth. References External links * {{Society for Industrial and Applied Mathematics Numerical Analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods ... Mathematics journals Bimonthly journals Publications established in 1964 English-language journals ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Algebra And Its Applications
''Linear Algebra and its Applications'' is a biweekly peer-reviewed mathematics journal published by Elsevier and covering matrix theory and finite-dimensional linear algebra. History The journal was established in January 1968 with A.J. Hoffman, A.S. Householder, A.M. Ostrowski, H. Schneider, and O. Taussky Todd as founding editors-in-chief. The current editors-in-chief are Richard A. Brualdi ( University of Wisconsin at Madison), Volker Mehrmann ( Technische Universität Berlin), and Peter Semrl ( University of Ljubljana). Abstracting and indexing The journal is abstracted and indexed in: According to the ''Journal Citation Reports'', the journal has a 2020 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 ... of 1.401. References External links * {{O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerische Mathematik
''Numerische Mathematik'' is a peer-reviewed mathematics journal on numerical analysis. It was established in 1959 and is published by Springer Science+Business Media. The journal is indexed by ''Mathematical Reviews'' and Zentralblatt MATH. Its 2009 MCQ was 1.06, and its 2020 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 ... was 2.223. References External links * Mathematics journals Publications established in 1959 English-language journals Springer Science+Business Media academic journals Monthly journals {{math-journal-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Psychometrika
''Psychometrika'' is the official journal of the Psychometric Society, a professional body devoted to psychometrics and quantitative psychology. The journal covers quantitative methods for measurement and evaluation of human behavior, including statistical methods and other mathematical techniques. Past editors include Marion Richardson, Dorothy Adkins, Norman Cliff, and Willem J. Heiser. According to ''Journal Citation Reports'', the journal had a 2019 impact factor of 1.959. History In 1935 LL Thurstone, EL Thorndike and JP Guilford founded ''Psychometrika'' and also the Psychometric Society. Editors-in-chief The complete list of editor-in-chief of Psychometrika can be found at: https://www.psychometricsociety.org/content/past-psychometrika-editors The following is a subset of persons who have been editor-in-chief of Psychometrika: * Paul Horst * Albert K. Kurtz * Dorothy Adkins * Norman Cliff * Roger Millsap * Shizuhiko Nishisato * Willem J. Heiser * Irini Mou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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