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Mary Beth Ruskai
Mary Beth Ruskai (born 1944) is an American mathematical physicist and Professor Emerita of Mathematics at the University of Massachusetts, with interest in mathematical problems in quantum theory. She is a Fellow of the AAAS, AMS, APS, and AWM. Education Ruskai graduated from Notre Dame College in Cleveland, Ohio in 1965 with a BS in chemistry. She simultaneously received her M.A. in mathematics and her Ph.D. in physical chemistry from the University of Wisconsin–Madison in 1969. Career She was the Battelle postdoctoral fellow in mathematical physics at the Institut de Physique Theorique in Geneva Switzerland from 1969 to 1971. She spent most of her career at the University of Massachusetts Lowell, where she was on the faculty from 1977 until she took early retirement in 2002. From 2003 to 2013 she was based at Tufts University, and is currently an associate member of the Institute for Quantum Computing. Her visiting positions include appointments at MIT, Bell La ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Massachusetts
The University of Massachusetts is the five-campus public university system and the only public research system in the Commonwealth of Massachusetts. The university system includes five campuses (Amherst, Boston, Dartmouth, Lowell, and a medical school in Worcester), a satellite campus in Springfield and also 25 campuses throughout California and Washington with the University of Massachusetts Global. The system administration is in Boston and Shrewsbury and is accredited by the New England Association of Schools and Colleges and across its campuses enrolls 75,065 students. Campuses The University of Massachusetts Amherst is the flagship and largest school in the UMass system. It was also the first one established, dating back to 1863, when it was founded as the Massachusetts Agricultural College. The University of Massachusetts Chan Medical School was founded in 1962, and is located in Worcester. The University of Massachusetts Boston, originally established in 1964, was mer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Courant Institute Of Mathematical Sciences
The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research centers in the world. Founded in 1935, it is named after Richard Courant, one of the founders of the Courant Institute and also a mathematics professor at New York University from 1936 to 1972, and serves as a center for research and advanced training in computer science and mathematics. It is located on Gould Plaza next to the Stern School of Business and the economics department of the College of Arts and Science. NYU is ranked #1 in applied mathematics in the US (as per US News), #5 in citation impact worldwide, and #12 in citation worldwide. It is also ranked #19 worldwide in computer science and information systems. On the Faculty Scholarly Productivity Index, it is ranked #3 with an index of 1.84. It is also known for its extensive res ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fields Institute
The Fields Institute for Research in Mathematical Sciences, commonly known simply as the Fields Institute, is an international centre for scientific research in mathematical sciences. It is an independent non-profit with strong ties to 20 Ontario universities, including the University of Toronto, where it occupies a purpose-built building on the St. George campus. Fields was established in 1992, and was briefly based at the University of Waterloo before relocating to Toronto in 1995. The institute is named after Canadian mathematician John Charles Fields, after whom the Fields Medal is also named. Fields' name was given to the institute in recognition of his contributions to mathematics and his work on behalf of high level mathematical scholarship in Canada. As a centre for mathematical activity, the institute brings together mathematicians from Canada and abroad. It also supports the collaboration between professional mathematicians and researchers in other domains, such as sta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Banff International Research Station
The Banff International Research Station (BIRS) for Mathematical Innovation and Discovery was established in 2003. It provides an independent research institute for the mathematical sciences in North America, a counterpart to the Oberwolfach Research Institute for Mathematics in Europe. The research station, commonly known by its acronym, "BIRS", hosts over 2000 international scientists each year to undertake research collaboration in the mathematical sciences. Research activities The research that takes place at the Banff International Research Station is either in pure mathematics, applied mathematics, or in other areas of science where they intersect with mathematics. There is wide range of research publicationsciting lectures, meetings and reports from BIRS. Research program The Banff International Research Station hostfive types of meetings # ''5-Day Workshops'': These make up the core program at BIRS, with up to 42 participants per workshop, 48 weeks per year. So ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mittag-Leffler Institute
The Mittag-Leffler Institute is a mathematical research institute located in Djursholm, a suburb of Stockholm. It invites scholars to participate in half-year programs in specialized mathematical subjects. The Institute is run by the Royal Swedish Academy of Sciences on behalf of research societies representing all the Scandinavian countries. The Institute's main building was originally the residence of Gösta Mittag-Leffler, who donated it along with his extensive mathematics library. At his death in 1927, however, Mittag-Leffler's fortune was insufficient to set up an active research institute, which began operation only in 1969 under the leadership of Lennart Carleson. The journals '' Acta Mathematica'' and ''Arkiv för Matematik'' are published by the institute. For a number of years at the beginning of the 20th century, Mittag-Leffler's villa hosted a celebratory dinner for Nobel Prize laureates. Notable visitors Each year the institute invites the best mathematician i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Information
Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general computational term. It is an interdisciplinary field that involves quantum mechanics, computer science, information theory, philosophy and cryptography among other fields. Its study is also relevant to disciplines such as cognitive science, psychology and neuroscience. Its main focus is in extracting information from matter at the microscopic scale. Observation in science is one of the most important ways of acquiring information and measurement is required in order to quantify the observation, making this crucial to the scientific method. In quantum mechanics, due to the uncertainty principle, non-commuting observables cannot be precisely measured simultaneously, as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ingrid Daubechies
Baroness Ingrid Daubechies ( ; ; born 17 August 1954) is a Belgian physicist and mathematician. She is best known for her work with wavelets in image compression. Daubechies is recognized for her study of the mathematical methods that enhance image-compression technology. She is a member of the National Academy of Engineering, the National Academy of Sciences and the American Academy of Arts and Sciences. She is a 1992 MacArthur Fellow. She also served on the Mathematical Sciences jury for the Infosys Prize from 2011 to 2013. The name Daubechies is widely associated with the orthogonal Daubechies wavelet and the biorthogonal CDF wavelet. A wavelet from this family of wavelets is now used in the JPEG 2000 standard. Her research involves the use of automatic methods from both mathematics, technology, and biology to extract information from samples such as bones and teeth. She also developed sophisticated image processing techniques used to help establish the authenticity and ag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wavelet
A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the number and direction of its pulses. Wavelets are imbued with specific properties that make them useful for signal processing. For example, a wavelet could be created to have a frequency of Middle C and a short duration of roughly one tenth of a second. If this wavelet were to be convolved with a signal created from the recording of a melody, then the resulting signal would be useful for determining when the Middle C note appeared in the song. Mathematically, a wavelet correlates with a signal if a portion of the signal is similar. Correlation is at the core of many practical wavelet applications. As a mathematical tool, wavelets can be used to extract information from many different kinds of data, including but not limited to au ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Information
Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general computational term. It is an interdisciplinary field that involves quantum mechanics, computer science, information theory, philosophy and cryptography among other fields. Its study is also relevant to disciplines such as cognitive science, psychology and neuroscience. Its main focus is in extracting information from matter at the microscopic scale. Observation in science is one of the most important ways of acquiring information and measurement is required in order to quantify the observation, making this crucial to the scientific method. In quantum mechanics, due to the uncertainty principle, non-commuting observables cannot be precisely measured simultaneously, as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Strong Subadditivity Of Quantum Entropy
In quantum information theory, strong subadditivity of quantum entropy (SSA) is the relation among the von Neumann entropies of various quantum subsystems of a larger quantum system consisting of three subsystems (or of one quantum system with three degrees of freedom). It is a basic theorem in modern quantum information theory. It was conjectured by D. W. Robinson and D. Ruelle in 1966 and O. E. Lanford III and D. W. Robinson in 1968 and proved in 1973 by E.H. Lieb and M.B. Ruskai, building on results obtained by Lieb in his proof of the Wigner-Yanase-Dyson conjecture. The classical version of SSA was long known and appreciated in classical probability theory and information theory. The proof of this relation in the classical case is quite easy, but the quantum case is difficult because of the non-commutativity of the reduced density matrices describing the quantum subsystems. Some useful references here include: *"Quantum Computation and Quantum Information" *"Quantum Entr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Case Western Reserve University
Case Western Reserve University (CWRU) is a private research university in Cleveland, Ohio. Case Western Reserve was established in 1967, when Western Reserve University, founded in 1826 and named for its location in the Connecticut Western Reserve, and Case Institute of Technology, founded in 1880 through the endowment of Leonard Case Jr., formally federated. Case Western Reserve University is a member of the Association of American Universities and is classified among "R1: Doctoral Universities – Very high research activity". According to the National Science Foundation, in 2019 the university had research and development (R&D) expenditures of $439 million, ranking it 20th among private institutions and 58th in the nation. The university has eight schools that offer more than 100 undergraduate programs and about 160 graduate and professional options. Seventeen Nobel laureates have been affiliated with Case Western Reserve's faculty and alumni or one of its two predecessors ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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