Elliott Montroll
Elliott Waters Montroll (May 4, 1916 in Pittsburgh, Pennsylvania, United States – December 3, 1983 in Chevy Chase, Maryland, United States) was an American scientist and mathematician. Education Elliott Montroll was born on May 4, 1916 in Pittsburgh, Pennsylvania, and received his elementary and high school education at the Dormont Public Schools. In 1933 he entered the University of Pittsburgh and in 1937 he received a BS degree in Chemistry. From 1937 until 1939 he was a graduate assistant in the Mathematics Department of the University of Pittsburgh, and during the first semester of the school year 1939–1940 he carried out research in the Chemistry Department of Columbia University. He was awarded a Ph.D in mathematics at the University of Pittsburgh in 1939, with a thesis ''Some Notes and Applications of the Characteristic Value Theory of Integral Equations'' in which he applied integral equations to the study of imperfect gases. A paper published jointly with J ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Pittsburgh, Pennsylvania
Pittsburgh ( ) is a city in the Commonwealth (U.S. state), Commonwealth of Pennsylvania, United States, and the county seat of Allegheny County, Pennsylvania, Allegheny County. It is the most populous city in both Allegheny County and Western Pennsylvania, the List of municipalities in Pennsylvania#Municipalities, second-most populous city in Pennsylvania behind Philadelphia, and the List of United States cities by population, 68th-largest city in the U.S. with a population of 302,971 as of the 2020 United States census, 2020 census. The city anchors the Pittsburgh metropolitan area of Western Pennsylvania; its population of 2.37 million is the largest in both the Ohio Valley and Appalachia, the Pennsylvania metropolitan areas, second-largest in Pennsylvania, and the List of metropolitan statistical areas, 27th-largest in the U.S. It is the principal city of the greater Pittsburgh–New Castle–Weirton combined statistical area that extends into Ohio and West Virginia. Pitts ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Leopoldo García-Colín
Leopoldo García-Colín Scherer (27 November 1930, in Mexico City – 8 October 2012, in Mexico City) was a Mexican scientist specialized in Thermodynamics and Statistical Mechanics who received the National Prize for Arts and Sciences in 1988. He was a member of Colegio Nacional (Mexico), The National College, a former president of the Mexican Society of Physics (''SMF'', 1972–1973) and has received honorary degrees from several universities, including the National Autonomous University of Mexico (UNAM) and the Metropolitan Autonomous University (UAM). Career He obtained a Chemistry degree at Universidad Nacional Autónoma de México (UNAM) in 1953. The Ph.D. in Physics at the University of Maryland in 1959. He was professor at Benemérita Universidad Autónoma de Puebla from 1960 to 1963, and at Facultad de Ciencias de la UNAM, Facultad de Ciencias in UNAM from 1967 to 1984. Later, he participated in research at the Centro Nuclear de Salazar, a Nuclear center in Mexico; a ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Ising Model
The Ising model () (or Lenz-Ising model or Ising-Lenz model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice (where the local structure repeats periodically in all directions), allowing each spin to interact with its neighbors. Neighboring spins that agree have a lower energy than those that disagree; the system tends to the lowest energy but heat disturbs this tendency, thus creating the possibility of different structural phases. The model allows the identification of phase transitions as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition. The Ising model was invented by the physicist , who gave it as a prob ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Columbia University
Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhattan, Columbia is the oldest institution of higher education in New York and the fifth-oldest institution of higher learning in the United States. It is one of nine colonial colleges founded prior to the Declaration of Independence. It is a member of the Ivy League. Columbia is ranked among the top universities in the world. Columbia was established 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 former students Alexander Hamilton and John Jay. In 1896, the campus was moved to its current location in Morningside Heights and renamed Columbia University. Columbia scientists and scholars have ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Chemistry
Chemistry is the science, scientific study of the properties and behavior of matter. It is a natural science that covers the Chemical element, elements that make up matter to the chemical compound, compounds made of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a Chemical reaction, reaction with other Chemical substance, substances. Chemistry also addresses the nature of chemical bonds in chemical compounds. In the scope of its subject, chemistry occupies an intermediate position between physics and biology. It is sometimes called the central science because it provides a foundation for understanding both Basic research, basic and Applied science, applied scientific disciplines at a fundamental level. For example, chemistry explains aspects of plant growth (botany), the formation of igneous rocks (geology), how atmospheric ozone is formed and how environmental pollutants are degraded (ecology), the properties ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dormont
Dormont is a borough in Allegheny County, Pennsylvania, United States and is part of the Pittsburgh Metro Area. The population was 8,593 at the 2010 census. Dormont includes young professionals, working families, and retirees. Dormont is mixed use and urban and features a pedestrian friendly business district, with bars, coffee shops, restaurants, and retail stores. It is famous for one of the largest municipal pools in Pennsylvania, the historic Dormont Pool. Loosely translated, Dormont means "Mountain of Gold" in French. History The territory in which Dormont Borough is situated was held by the Delaware and Shawnee tribes until 1768 when the territory was part of the transaction in which Fort Stanwix was purchased from the Six Nations. In following years, Dormont's area was part of Cumberland County, Pitt Township in Bedford County, Penn Township in Washington County, and finally, St. Clair Township in Allegheny County in 1788. Dormont was originally fashioned from part ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Pennsylvania
Pennsylvania (; ( Pennsylvania Dutch: )), officially the Commonwealth of Pennsylvania, is a state spanning the Mid-Atlantic, Northeastern, Appalachian, and Great Lakes regions of the United States. It borders Delaware to its southeast, Maryland to its south, West Virginia to its southwest, Ohio to its west, Lake Erie and the Canadian province of Ontario to its northwest, New York to its north, and the Delaware River and New Jersey to its east. Pennsylvania is the fifth-most populous state in the nation with over 13 million residents as of 2020. It is the 33rd-largest state by area and ranks ninth among all states in population density. The southeastern Delaware Valley metropolitan area comprises and surrounds Philadelphia, the state's largest and nation's sixth most populous city. Another 2.37 million reside in Greater Pittsburgh in the southwest, centered around Pittsburgh, the state's second-largest and Western Pennsylvania's largest city. The state's su ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Pittsburgh
Pittsburgh ( ) is a city in the Commonwealth (U.S. state), Commonwealth of Pennsylvania, United States, and the county seat of Allegheny County, Pennsylvania, Allegheny County. It is the most populous city in both Allegheny County and Western Pennsylvania, the List of municipalities in Pennsylvania#Municipalities, second-most populous city in Pennsylvania behind Philadelphia, and the List of United States cities by population, 68th-largest city in the U.S. with a population of 302,971 as of the 2020 United States census, 2020 census. The city anchors the Pittsburgh metropolitan area of Western Pennsylvania; its population of 2.37 million is the largest in both the Ohio Valley and Appalachia, the Pennsylvania metropolitan areas, second-largest in Pennsylvania, and the List of metropolitan statistical areas, 27th-largest in the U.S. It is the principal city of the greater Pittsburgh–New Castle–Weirton combined statistical area that extends into Ohio and West Virginia. Pitts ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mathematician
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 were Thales of Miletus (c. 624–c.546 BC); 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' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) 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 Hypati ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Scientist
A scientist is a person who conducts Scientific method, scientific research to advance knowledge in an Branches of science, 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 (circa 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 in science, 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. In modern times, many scientists have Terminal degree, advanced degrees in an area of science and pursue careers in various Sector (economic), sectors of the economy such ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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John Montroll
John Montroll is an American origami artist, author, teacher, and mathematician. He has written many books on origami. Montroll taught mathematics at St. Anselm's Abbey School in Washington, D.C. from 1990 to 2021. Biography John Montroll was born in Washington, D.C.The Origamian, Vol.9, Issue 3, 1970, Published by the Origami Center He is the son of Elliott Waters Montroll, an American scientist and mathematician. He has a Bachelor of Arts degree in Mathematics from the University of Rochester, a Master of Arts in Electrical Engineering from the University of Michigan, and a Master of Arts in applied mathematics from the University of Maryland. Montroll mastered his first origami book, Isao Honda's ''How to make Origami'', at the age of six, the same age he began creating his own origami animals.The Paper, Issue 55, Summer 1996, The Magazine of OrigamiUSA He became a member of the Origami Center of America at age twelve. He attended his first origami convention at age 14. ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Lanchester Prize
The Frederick W. Lanchester Prize is an Institute for Operations Research and the Management Sciences prize (U.S. $5,000 cash prize and medallion) given for the best contribution to operations research and the management sciences published in English. It is named after Frederick W. Lanchester. Past winners SourceINFORMS* 1954 Leslie C. Edie * 1955 Georges Brigham * 1956 Richard E. Zimmerman * 1957 Maurice F. C . Allais, Clayton J. Thomas and Walter L. Deemer, Jr * 1959 Robert E. Chandler, Robert Herman, Elliott Waters Montroll and A.M. Lee * 1960 Herman F. Karreman * 1961 Elio M. Ventura * 1962 Robert M. Oliver and A.H. Samuel * 1963 Paul C. Gilmore and Ralph E. Gomory * 1964 Frederick M. Scherer * 1965 Michel Balinski and Rufus Isaacs * 1966 Stafford Beer * 1967 Douglass J. Wilde and Charles S. Beightler * 1968 Anthony V. Fiacco, Garth P. McCormick and Philip M. Morse * 1969 Harvey M. Wagner * 1971 Edward E. David, John G. Truxal and E.J. Piel * 1972 Ric ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |