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Daniel Rudolph
Daniel Jay Rudolph (1949–2010) was a mathematician who was considered a leader in ergodic theory and dynamical systems. He studied at Caltech and Stanford and taught postgraduate mathematics at Stanford University, the University of Maryland and Colorado State University, being appointed to the Albert C. Yates Endowed Chair in Mathematics at Colorado State in 2005. He jointly developed a theory of restricted orbit equivalence which unified several other theories. He founded and directed an intense preparation course for graduate math studies and began a Math circle for middle-school children. Early in life he was a modern dancer. He died in 2010 from amyotrophic lateral sclerosis, a degenerative motor neuron disease. Early life and education Rudolph was born to William Franklin Rudolph (1922–2000) and Betty Johnalou Waldner (1921–2004). He was the second of three sons, the others being Gregory and James. The family moved to Fort Collins when Daniel was very ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sheridan, Wyoming
Sheridan is a town in the U.S. state of Wyoming and the county seat of Sheridan County. The town is located halfway between Yellowstone Park and Mount Rushmore by U.S. Route 14 and 16. It is the principal town of the Sheridan, Wyoming, Micropolitan Statistical Area which encompasses all of Sheridan County. The 2010 census put the town's population at 17,444 and the Sheridan, Wyoming, Micropolitan Statistical Area at 29,116, making it the 421st-most populous micropolitan area in the United States. History The city was named after General Philip Sheridan, Union cavalry leader in the American Civil War. Several battles between US Cavalry and the Sioux, Cheyenne, Arapaho, Shoshone, and Crow Indian tribes occurred in the area in the 1860s and 1870s before the town was built. In 1878, trapper George Mandel built a cabin on Big Goose Creek, reconstructed today in the Whitney Commons park near the Sheridan County Fulmer Public Library. Jack Dow surveyed the townsite for Sheridan in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Westinghouse Science Talent Search
Westinghouse may refer to: Businesses Current companies *Westinghouse Electric Corporation, the company that manages the Westinghouse brand, with licensees: **Westinghouse Electric Company, providing nuclear power-related services **Westinghouse Electronics, which sells LED and LCD televisions ** Russell Hobbs, Inc., licensed to make small appliances such as vacuum cleaners under the Westinghouse name, from 2002 to 2008 *Siemens Energy Sector, the acquired non-nuclear energy divisions of Westinghouse Electric Former companies and divisions *Westinghouse Electric Corporation, renamed CBS Corporation in 1997 **Westinghouse Broadcasting (Group W), now integrated into CBS Broadcasting, Inc. **White-Westinghouse, acquired by Electrolux in 1986 **Westinghouse Electronic Systems Group, sold to Northrop Grumman in 1996 ** British Westinghouse, later subsumed into the General Electric Company *Westinghouse Air Brake Company, founding name of WABCO *Westinghouse Brake & Signal Company ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Warwick
The University of Warwick ( ; abbreviated as ''Warw.'' in post-nominal letters) is a public research university on the outskirts of Coventry between the West Midlands (county), West Midlands and Warwickshire, England. The university was founded in 1965 as part of a government initiative to expand higher education. The Warwick Business School was established in 1967, the Warwick Law School in 1968, WMG, University of Warwick, Warwick Manufacturing Group (WMG) in 1980, and Warwick Medical School in 2000. Warwick incorporated Coventry College of Education in 1979 and Horticulture Research International in 2004. Warwick is primarily based on a campus on the outskirts of Coventry, with a satellite campus in Wellesbourne and a central London base at the Shard. It is organised into three faculties—Arts, Science Engineering and Medicine, and Social Sciences—within which there are 32 departments. As of 2021, Warwick has around 29,534 full-time students and 2,691 academic and research ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre And Marie Curie University
Pierre and Marie Curie University (french: link=no, Université Pierre-et-Marie-Curie, UPMC), also known as Paris 6, was a public university, public research university in Paris, France, from 1971 to 2017. The university was located on the Jussieu Campus in the Latin Quarter of the 5th arrondissement of Paris, France. UPMC merged with Paris-Sorbonne University into a new combined Sorbonne University. It was ranked as the best university in France in medicine and health sciences by ''Times Higher Education'' in 2018. History Paris VI was one of the inheritors of the faculty of Sciences of the University of Paris, which was divided into several universities in 1970 after the student protests of May 1968 events in France, May 1968. In 1971, the five faculties of the former University of Paris (Paris VI as the Faculty of Sciences) were split and then re-formed into thirteen universities by the Edgar Faure, Faure Law. The campus of Paris VI was built in the 1950s and 1960s, on a s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kakutani's Theorem (measure Theory)
In measure theory, a branch of mathematics, Kakutani's theorem is a fundamental result on the equivalence or mutual singularity of countable product measures. It gives an "if and only if" characterisation of when two such measures are equivalent, and hence it is extremely useful when trying to establish change-of-measure formulae for measures on function spaces. The result is due to the Japanese mathematician Shizuo Kakutani. Kakutani's theorem can be used, for example, to determine whether a translate of a Gaussian measure In mathematics, Gaussian measure is a Borel measure on finite-dimensional Euclidean space R''n'', closely related to the normal distribution in statistics. There is also a generalization to infinite-dimensional spaces. Gaussian measures are nam ... \mu is equivalent to \mu (only when the translation vector lies in the Cameron–Martin space of \mu), or whether a dilation of \mu is equivalent to \mu (only when the absolute value of the dilation factor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russo–Dye Theorem
In mathematics, the Russo–Dye theorem is a result in the field of functional analysis. It states that in a unital C*-algebra, the closure of the convex hull of the unitary elements is the closed unit ball. The theorem was published by B. Russo and H. A. Dye in 1966. Other formulations and generalizations Results similar to the Russo–Dye theorem hold in more general contexts. For example, in a unital *-Banach algebra, the closed unit ball is contained in the closed convex hull of the unitary elements. A more precise result is true for the C*-algebra of all bounded linear operators on a Hilbert space: If ''T'' is such an operator and , , ''T'', , 2, then ''T'' is the mean of ''n'' unitary operators. Applications This example is due to Russo & Dye, Corollary 1: If ''U''(''A'') denotes the unitary elements of a C*-algebra ''A'', then the norm of a linear mapping In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, line ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doug Lind
Doug Lind is an American mathematician specializing in ergodic theory and dynamical systems. He is a professor emeritus at the University of Washington. Lind was named as one of the inaugural fellows of the American Mathematical Society in 2013. He is a board member of Spectra, an association for LGBT mathematicians. Education Lind received his PhD from Stanford University in 1973. His advisor was Donald Samuel Ornstein Donald Samuel Ornstein (born July 30, 1934, New York) is an American mathematician working in the area of ergodic theory. He received a Ph.D. from the University of Chicago in 1957 under the guidance of Irving Kaplansky. During his career at ... and the title of his dissertation was ''Locally Compact Measure Preserving Flows''. See also * Daniel Rudolph - contemporary of Doug Lind References 20th-century American mathematicians 21st-century American mathematicians Fellows of the American Mathematical Society Living people Year of birth m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brian Marcus
Brian Marcus is an American-born mathematician who works in Canada. He is a professor in the department of mathematics at the University of British Columbia (UBC), where he is the site director of the Pacific Institute for the Mathematical Sciences (PIMS), a fellow of the AMS and the IEEE. He was the department head of mathematics at UBC from 2002 to 2007 and the deputy director of PIMS from 2016 to 2018. Education and academic career Marcus earned his Ph.D. in 1975 from the University of California, Berkeley (UC Berkeley); his supervisor was Rufus Bowen. He then worked as an IBM Watson Postdoctoral Fellow, an associate professor at UNC Chapel Hill and a researcher at IBM Research – Almaden. He additionally held visiting associate professor positions at UC Berkeley, University of California, Santa Cruz, and Stanford University. From 2016 to 2018, he was the deputy director of the Pacific Institute for the Mathematical Sciences, where, as of 2019, he is the UBC Site Directo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dynamical System
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, fluid dynamics, the flow of water in a pipe, the Brownian motion, random motion of particles in the air, and population dynamics, the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real number, real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a Set (mathematics), set, without the need of a Differentiability, smooth space-time structure defined on it. At any given time, a dynamical system has a State ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lorenz Attractor Yb
Lorenz is an originally German name derived from the Roman surname Laurentius, which means "from Laurentum". Given name People with the given name Lorenz include: * Prince Lorenz of Belgium (born 1955), member of the Belgian royal family by his marriage with Princess Astrid of Belgium * Lorenz Böhler (1885–1973), Austrian trauma surgeon * Lorenz Hart (1895–1943), American lyricist, half of the famed Broadway songwriting team Rodgers and Hart * Lorenz Lange (1690–1752), Russian official in Siberia * Lorenz Oken (1779–1851), German naturalist * Lorenz of Werle (1338/40–1393/94), Lord of Werle-Güstrow Surname People with the name surname Lorenz include: * Adolf Lorenz (1854–1946), Austrian surgeon * Alfred Lorenz (1868–1939), Austrian-German musical analyst * Angela Lorenz (born 1965), American artist * Barbara Lorenz, make-up artist * Carl Lorenz (1913–1993), German cyclist * Christian Lorenz (born 1966), German musician * Edward Norton Lorenz (1917–200 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Functional Analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Definition, norm, Topological space#Definition, topology, etc.) and the linear transformation, linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of function space, spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous function, continuous, unitary operator, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential equations, differential and integral equations. The usage of the word ''functional (mathematics), functional'' as a noun goes back to the calculus of variati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Philosophy
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common Academic degree, degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is an earned research degree, those studying for a PhD are required to produce original research that expands the boundaries of knowledge, normally in the form of a Thesis, dissertation, and defend their work before a panel of other experts in the field. The completion of a PhD is often a requirement for employment as a university professor, researcher, or scientist in many fields. Individuals who have earned a Doctor of Philosophy degree may, in many jurisdictions, use the title ''Doctor (title), Doctor'' (often abbreviated "Dr" or "Dr.") with their name, although the proper etiquette associated with this usage may also be subject to the professional ethics of their own scholarly field, culture, or society. Those who teach at ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
