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Francis Joseph Murray
Francis Joseph Murray (February 3, 1911 – March 15, 1996) was a mathematician, known for his foundational work (with John von Neumann) on functional analysis, and what subsequently became known as von Neumann algebras. He received his BA from Columbia College in 1932 and PhD from Columbia University in 1936. He taught at Duke University. In 1967 he was awarded the Outstanding Civilian Service Medal by the U. S. Army. Selected publications * 1936 (with J. von Neumann),On rings of operators" ''Ann. of Math''. 2(37): 116–229. The original paper on von Neumann algebra In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type of C*-algebra. Von Neumann al ...s. * 1937 (with J. von Neumann),On rings of operators II" ''Trans. Amer. Math. Soc''. 41: 208–248. * 1943 (with J. von Neumann),On rings of operators IV" ''Ann. o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New York City
New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive with a respective county. The city is the geographical and demographic center of both the Northeast megalopolis and the New York metropolitan area, the largest metropolitan area in the United States by both population and urban area. New York is a global center of finance and commerce, culture, technology, entertainment and media, academics, and scientific output, the arts and fashion, and, as home to the headquarters of the United Nations, international diplomacy. With an estimated population in 2024 of 8,478,072 distributed over , the city is the most densely populated major city in the United States. New York City has more than double the population of Los Angeles, the nation's second-most populous city. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Outstanding Civilian Service Medal
The Meritorious Public Service Medal formerly the Outstanding Civilian Service Award is the third highest honor within the public service awards scheme of the Department of the Army that can be awarded to a private citizen. Eligibility The Secretary of the Army or a major commander may award this medal to eligible recipients, including civilians not employed by the Army or Army contractors (who are eligible for Army honorary awards), military personnel, Federal Government officials at the policy development level, and technical personnel who serve the Army in an advisory capacity or as consultant, for "outstanding service that makes a substantial contribution or is of significance to the Major Command concerned." Criteria The Secretary of the Army or a major commander may award this medal for outstanding service that makes a substantial contribution or is of significance to the major Army command concerned. Commanders of Major Army commands may delegate approval authority for this ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematicians From New York (state)
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia of Alexandria ( – 415). She s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scientists From New York City
A scientist is a person who researches to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales ( 624–545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. History The roles of "scientists", and their predecessors before the emergence of modern scientific disciplines, have evolved considerably over time. Scientists of different eras (and before them, natural philosophers, mathematicians, natur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Operator Theorists
Operator may refer to: Mathematics * A symbol indicating a mathematical operation * Logical operator or logical connective in mathematical logic * Operator (mathematics), mapping that acts on elements of a space to produce elements of another space, e.g.: ** Linear operator ** Differential operator ** Integral operator (other) ** Operational calculus Computers * Computer operator, an occupation * Operator (computer programming), a type of computer program function * Operator (extension), an extension for the Firefox web browser, for reading microformats * Operator pattern, a provisioning automation and auto-scaling strategy for Kubernetes * Ableton Operator, a software synthesizer developed by Ableton Science * Operator (biology), a segment of DNA regulating the activity of genes * Operator (linguistics), a special category including wh- interrogatives * Operator (physics), mathematical operators in quantum physics Music * Operator (band), an American hard rock ba ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duke University Faculty
Duke is a male title either of a monarch ruling over a duchy, or of a member of royalty, or nobility. As rulers, dukes are ranked below emperors, kings, grand princes, grand dukes, and above sovereign princes. As royalty or nobility, they are ranked below grand dukes and above or below princes, depending on the country or specific title. The title comes from French ''duc'', itself from the Latin '' dux'', 'leader', a term used in republican Rome to refer to a military commander without an official rank (particularly one of Germanic or Celtic origin), and later coming to mean the leading military commander of a province. In most countries, the word ''duchess'' is the female equivalent. Following the reforms of the emperor Diocletian (which separated the civilian and military administrations of the Roman provinces), a ''dux'' became the military commander in each province. The title ''dux'', Hellenised to ''doux'', survived in the Eastern Roman Empire where it continued i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Columbia University Faculty
Columbia most often refers to: * Columbia (personification), the historical personification of the United States * Columbia University, a private university in New York City * Columbia Pictures, an American film studio owned by Sony Pictures * Columbia Sportswear, an American clothing company * Columbia, South Carolina * Columbia, Missouri Columbia may also refer to: Places North America Natural features * Columbia Plateau, a geologic and geographic region in the U.S. Pacific Northwest * Columbia River, in Canada and the United States ** Columbia Bar, a sandbar in the estuary of the Columbia River ** Columbia Country, the region of British Columbia encompassing the northern portion of that river's upper reaches *** Columbia Valley, a region within the Columbia Country ** Columbia Lake, a lake at the head of the Columbia River *** Columbia Wetlands, a protected area near Columbia Lake ** Columbia Slough, along the Columbia watercourse near Portland, Oregon * Glacial Lake ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1996 Deaths
This is a list of lists of deaths of notable people, organized by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked below. 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 Earlier years ''Deaths in years earlier than this can usually be found in the main articles of the years.'' See also * Lists of deaths by day * Deaths by year (category) {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1911 Births
Events January * January 1 – A decade after federation, the Northern Territory and the Australian Capital Territory are added to the Commonwealth of Australia. * January 3 ** 1911 Kebin earthquake: An earthquake of 7.7 Moment magnitude scale, moment magnitude strikes near Almaty in Russian Turkestan, killing 450 or more people. ** Siege of Sidney Street in London: Two Latvian people, Latvian anarchists die, after a seven-hour siege against a combined police and military force. Home Secretary Winston Churchill arrives to oversee events. * January 4 – Comparison of the Amundsen and Scott expeditions, Amundsen and Scott expeditions: Robert Falcon Scott's British Terra Nova Expedition, ''Terra Nova'' Expedition to the South Pole arrives in the Antarctic and establishes a base camp at Cape Evans on Ross Island. * January 5 – Egypt's Zamalek SC is founded as a general sports and Association football club by Belgian lawyer George Merzbach as Q ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Von Neumann Algebra
In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type of C*-algebra. Von Neumann algebras were originally introduced by John von Neumann, motivated by his study of single operators, group representations, ergodic theory and quantum mechanics. His double commutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries. Two basic examples of von Neumann algebras are as follows: *The ring L^\infty(\mathbb R) of essentially bounded measurable functions on the real line is a commutative von Neumann algebra, whose elements act as multiplication operators by pointwise multiplication on the Hilbert space L^2(\mathbb R) of square-integrable functions. *The algebra \mathcal B(\mathcal H) of all bounded operators on a Hilbert space \mathcal H is a von Neuma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Columbia College (New York)
Columbia College is the oldest undergraduate college of Columbia University, a private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhattan, it is the oldest institution of higher learning in the state of New York and the fifth oldest in the United States. Columbia was established as a colonial college by royal charter under George II of Great Britain. It was renamed Columbia College in 1784 following the American Revolution, and in 1787 was placed under a private board of trustees headed by alumni Alexander Hamilton and John Jay. Columbia College is distinctive for its comprehensive Core Curriculum and is among the most selective of American colleges, with an admission rate of 3.85% in 2024. History Columbia College was founded as King's College in 1754 in the Province of New York by royal charter from King George II of Great Britain. Owing in part to the influence of the Church of En ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
