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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 yo ... [...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 Sherida ... [...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 Compa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Warwick
, mottoeng = Mind moves matter , established = , type = Public research university , endowment = £7.0 million (2021) , budget = £698.2 million (2020–21) , chancellor = Baroness Ashton of Upholland , vice_chancellor = Stuart Croft , students = 27,278 , undergrad = 15,998 , postgrad = 9,799 , city = Coventry , country = England, UK , coor = , campus = Semi-Urban (West Midlands/Warwickshire), The Shard ( WBS), London , colours = Blue, white, purple , free_label = Newspapers and magazines , free = '' The Boar'', ''Perspectives'' , website warwick.ac.uk , logo_size = 180px , administrative_staff = 4,033 , academic_staff = 2,610 , academic_affili ... [...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 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. 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 Faure Law. The campus of Paris VI was built in the 1950s and 1960s, on a site previously occupied by wine storehouses. The Dea ... [...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 (measure theory), equivalence or singular measure, 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 Japan, Japanese mathematician Shizuo Kakutani. Kakutani's theorem can be used, for example, to determine whether a translate of a Gaussian measure \mu is equivalent to \mu (only when the translation vector lies in the Cameron–Martin theorem, Cameron–Martin space of \mu), or whether a dilation of \mu is equivalent to \mu (only when the absolute value of the dilation factor is 1, which is part of the Feldman–Hájek theorem). Statement of the theorem For each n \in \mathbb, let \mu_ and \nu_ be measures on the real line \mathbb, and let \mu = \big ... [...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 and the title of his dissertation was ''Locally Compact Measure Preserving Flows''. See also * 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 Maryla ... - contemporary of Doug Lind References 20th-century American mathematicians 21st-century American mathematicians Fellows of the American Mathematical Society Living people Year of birth missi ... [...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 describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and 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 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, without the need of a smooth space-time structure defined on it. At any given time, a dynamical system has a state representing a point in an appropriate state space. This state is often given by a tuple of real numbers or by a vector in a geome ... [...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 (1917–2 ... [...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, norm, topology, etc.) and the 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 spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations. The usage of the word '' functional'' as a noun goes back to the calculus of variations, implying a function whose argument is a function. The term was first used in Hadamard's 1910 book on that subject. However, the general concept of a functional had previously been introduced in 1887 by the ... [...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 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 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'' (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 universities or work in academic, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
