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L. R. Ford Jr.
Lester Randolph Ford Jr. (September 23, 1927 – February 26, 2017) was an American mathematician specializing in network flow problems. He was the son of mathematician Lester R. Ford Sr. Ford's paper with D. R. Fulkerson on the maximum flow problem and the Ford–Fulkerson algorithm for solving it, published as a technical report in 1954 and in a journal in 1956, established the max-flow min-cut theorem. In 1962 they published ''Flows in Networks'' with Princeton University Press. According to the preface, it "included topics that were purely mathematically motivated, together with those that are strictly utilitarian in concept." In his review, S.W. Golomb wrote, "This book is an attractive, well-written account of a fairly new topic in pure and applied combinatorial analysis." As a topic of continued interest, a new edition was published in 2010 with a new foreword by Robert G. Bland and James B. Orlin. In 1956, Ford developed the Bellman–Ford algorithm for finding shorte ...
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University Of Chicago
The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chicago, South Side, near the shore of Lake Michigan about from Chicago Loop, the Loop. The university is composed of an College of the University of Chicago, undergraduate college and four graduate divisions: Biological Science, Arts & Humanities, Physical Science, and Social Science, which include various organized departments and institutes. In addition, the university operates eight professional schools in the fields of University of Chicago Booth School of Business, business, Crown Family School of Social Work, Policy, and Practice, social work, University of Chicago Divinity School, divinity, Graham School of Continuing Liberal and Professional Studies, continuing studies, Harris School of Public Policy, public policy, University of Chi ...
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Selmer M
Selmer may refer to: * Selmer (surname) * Selmer (given name) * Selmer, Tennessee, United States, a town * Selmer group, a group constructed from an isogeny of abelian varieties See also * Conn-Selmer, a manufacturer and distributor of musical instruments * Henri Selmer Paris, a musical instrument manufacturer, associated with Conn-Selmer * Semler Semler is an occupational surname derived from the occupation of baker who bakes '':de:Brötchen, semmels'', i.e., white bread rolls. Notable people with the surname include: *Andrée Sfeir-Semler (born 1953), art historian and gallery owner *Augu ...
, a surname {{disambiguation ...
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University Of North Carolina
The University of North Carolina is the Public university, public university system for the state of North Carolina. Overseeing the state's 16 public universities and the North Carolina School of Science and Mathematics, it is commonly referred to as the UNC System to differentiate it from its first campus, University of North Carolina at Chapel Hill, UNC-Chapel Hill. The university system has a total enrollment of 244,507 students as of fall 2021. UNC campuses conferred 62,930 degrees in 2020–2021, the bulk of which were at the bachelor's level, with 44,309 degrees awarded. In 2008, the UNC System conferred over 75% of all baccalaureate degrees in North Carolina. History Foundations Founded in 1789, the University of North Carolina at Chapel Hill (at the time called the University of North Carolina) is one of three schools to claim the title of oldest public university in the United States. It closed from 1871 to 1875, faced with serious financial and enrollment proble ...
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Oberlin Conservatory
The Oberlin Conservatory of Music is a private music conservatory of Oberlin College, a private liberal arts college in Oberlin, Ohio. It was founded in 1865 and is the second oldest conservatory and oldest continually operating conservatory in the United States. It is one of the few American conservatories to be completely attached to a liberal arts college, allowing students the opportunity to pursue degrees in both music and a traditional liberal arts subject via a five-year double-degree program. Like the rest of Oberlin College, the student body of the conservatory is almost exclusively undergraduate. History The Oberlin Collegiate Institute was built on of land, founded in 1833 and became Oberlin College in 1850. In 1867, two years after the Oberlin Conservatory's founding in 1865, the previously separate Oberlin Conservatory became incorporated with the college on a similar grant. In tandem, the administration claimed that "Oberlin is peculiar in that which is good," no ...
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Harvard University
Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyman John Harvard (clergyman), John Harvard, it is the oldest institution of higher learning in the United States. Its influence, wealth, and rankings have made it one of the most prestigious universities in the world. Harvard was founded and authorized by the Massachusetts General Court, the governing legislature of Colonial history of the United States, colonial-era Massachusetts Bay Colony. While never formally affiliated with any Religious denomination, denomination, Harvard trained Congregationalism in the United States, Congregational clergy until its curriculum and student body were gradually secularized in the 18th century. By the 19th century, Harvard emerged as the most prominent academic and cultural institution among the Boston B ...
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Flute
The flute is a member of a family of musical instruments in the woodwind group. Like all woodwinds, flutes are aerophones, producing sound with a vibrating column of air. Flutes produce sound when the player's air flows across an opening. In the Hornbostel–Sachs classification system, flutes are edge-blown aerophones. A musician who plays the flute is called a flautist or flutist. Paleolithic flutes with hand-bored holes are the earliest known identifiable musical instruments. A number of flutes dating to about 53,000 to 45,000 years ago have been found in the Swabian Jura region of present-day Germany, indicating a developed musical tradition from the earliest period of modern human presence in Europe.. Citation on p. 248. * While the oldest flutes currently known were found in Europe, Asia also has a long history with the instrument. A playable bone flute discovered in China is dated to about 9,000 years ago. The Americas also had an ancient flute culture, with instrumen ...
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Piano
A piano is a keyboard instrument that produces sound when its keys are depressed, activating an Action (music), action mechanism where hammers strike String (music), strings. Modern pianos have a row of 88 black and white keys, tuned to a chromatic scale in equal temperament. A musician who specializes in piano is called a pianist. There are two main types of piano: the #Grand, grand piano and the #Upupright piano. The grand piano offers better sound and more precise key control, making it the preferred choice when space and budget allow. The grand piano is also considered a necessity in venues hosting skilled pianists. The upright piano is more commonly used because of its smaller size and lower cost. When a key is depressed, the strings inside are struck by felt-coated wooden hammers. The vibrations are transmitted through a Bridge (instrument), bridge to a Soundboard (music), soundboard that amplifies the sound by Coupling (physics), coupling the Sound, acoustic energy t ...
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Houston, Texas
Houston ( ) is the List of cities in Texas by population, most populous city in the U.S. state of Texas and in the Southern United States. Located in Southeast Texas near Galveston Bay and the Gulf of Mexico, it is the county seat, seat of Harris County, Texas, Harris County, as well as the principal city of the Greater Houston metropolitan area, the fifth-most populous metropolitan statistical area in the United States and the List of Texas metropolitan areas, second-most populous in Texas after Dallas–Fort Worth metroplex, Dallas–Fort Worth. With a population of 2,314,157 in 2023, Houston is the List of United States cities by population, fourth-most populous city in the United States after New York City, Los Angeles, and Chicago, and the List of North American cities by population, sixth-most populous city in North America. Houston is the southeast anchor of the greater megaregion known as the Texas Triangle. Comprising a land area of , Houston is the List of United S ...
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Integrable Function
In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus,Integral calculus is a very well established mathematical discipline for which there are many sources. See and , for example. the other being differentiation. Integration was initially used to solve problems in mathematics and physics, such as finding the area under a curve, or determining displacement from velocity. Usage of integration expanded to a wide variety of scientific fields thereafter. A definite integral computes the signed area of the region in the plane that is bounded by the graph of a given function between two points in the real line. Conventionally, areas above the horizontal axis of the plane are positive while areas below are negative. Integrals also refer to the concept of an ''antiderivative'', a function whose derivat ...
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Continuous Function
In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies there are no abrupt changes in value, known as '' discontinuities''. More precisely, a function is continuous if arbitrarily small changes in its value can be assured by restricting to sufficiently small changes of its argument. A discontinuous function is a function that is . Until the 19th century, mathematicians largely relied on intuitive notions of continuity and considered only continuous functions. The epsilon–delta definition of a limit was introduced to formalize the definition of continuity. Continuity is one of the core concepts of calculus and mathematical analysis, where arguments and values of functions are real and complex numbers. The concept has been generalized to functions between metric spaces and between topological spaces. The latter are the most general continuous functions, and their d ...
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Rectangle
In Euclidean geometry, Euclidean plane geometry, a rectangle is a Rectilinear polygon, rectilinear convex polygon or a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a ''square''. The term "wikt:oblong, oblong" is used to refer to a non-square rectangle. A rectangle with Vertex (geometry), vertices ''ABCD'' would be denoted as . The word rectangle comes from the Latin ''rectangulus'', which is a combination of ''rectus'' (as an adjective, right, proper) and ''angulus'' (angle). A #Crossed rectangles, crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals (therefore only two sides are parallel). It is a special case of an antiparallelogram, and its angles are not right angles an ...
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HathiTrust
HathiTrust Digital Library is a large-scale collaborative repository of digital content from research libraries. Its holdings include content digitized via Google Books and the Internet Archive digitization initiatives, as well as content digitized locally by libraries. Etymology ''Hathi'' (), derived from the Sanskrit , is the Hindi word for 'elephant', an animal famed for its long-term memory. History HathiTrust was founded in October 2008 by the twelve universities of the Committee on Institutional Cooperation and the eleven libraries of the University of California. As of 2024, members include more than 219 research libraries across the United States, Canada, and Europe, and is based on a shared governance structure. Costs are shared by the participating libraries and library consortia. The repository is administered by the University of Michigan. The executive director of HathiTrust is Mike Furlough, who succeeded founding director John Wilkin after Wilkin stepped down ...
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