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Alan D. Taylor
Alan Dana Taylor (born October 27, 1947) is an American mathematician who, with Steven Brams, solved the problem of envy-free cake-cutting for an arbitrary number of people with the Brams–Taylor procedure. Taylor received his Ph.D. in 1975 from Dartmouth College. He was the Marie Louise Bailey professor of mathematics at Union College, in Schenectady, New York Schenectady () is a city in Schenectady County, New York, United States, of which it is the county seat. As of the 2020 census, the city's population of 67,047 made it the state's ninth-largest city by population. The city is in eastern New Y .... He retired from the college in 2022. Selected publications * Alan D. Taylor (1995''Mathematics and Politics: Strategy, Voting, Power, and Proof''Springer-Verlag. and 0-387-94500-8; with Allison Pacelli: * Steven J. Brams and Alan D. Taylor (1995)''An Envy-Free Cake Division Protocol''American Mathematical Monthly, 102, pp. 9–18. (JSTOR) * Steven J. Brams and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Political Scientists
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label previously known as Def American * American University, in Washington, D.C. Sports teams Soccer * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Union College (New York) Faculty
Union College is a private liberal arts college in Schenectady, New York. Founded in 1795, it was the first institution of higher learning chartered by the New York State Board of Regents, and second in the state of New York, after Columbia College (formerly King's College). In the 19th century, it became known as the "Mother of Fraternities",Somers (2003), p. 304 as three of the earliest Greek letter societies were established there. The school was once referred to as one of the " Big Four" alongside Harvard University, Yale University and Princeton University, before the Civil War and a financial scandal led to its fall from grace and the top national rankings. Union began enrolling women in 1970, after 175 years as an all-male institution. The college offers a liberal arts curriculum across 21 academic departments, as well as opportunities for interdepartmental majors and self-designed organizing theme majors. It offers a wide array of courses in the humanities, social scie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dartmouth College Alumni
This list of alumni of Dartmouth College includes alumni and current students of Dartmouth College and its graduate schools. In addition to its undergraduate program, Dartmouth offers graduate degrees in nineteen departments and includes three graduate schools: the Tuck School of Business, the Thayer School of Engineering, and Dartmouth Medical School. Since its founding in 1769, Dartmouth has graduated classes of students and today has approximately 66,500 living alumni. This list uses the following notation: * D or unmarked years – recipient of Dartmouth College Bachelor of Arts * DMS – recipient of Dartmouth Medical School degree (Bachelor of Medicine 1797–1812, Doctor of Medicine 1812–present) * Th – recipient of any of several Thayer School of Engineering degrees (see Thayer School of Engineering#Academics) * T – recipient of Tuck School of Business Master of Business Administration, or graduate of other programs as indicated *M.A., M.A.L.S., M.S., Ph.D, etc. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Game Theorists
A game is a structured form of play, usually undertaken for entertainment or fun, and sometimes used as an educational tool. Many games are also considered to be work (such as professional players of spectator sports or games) or art (such as jigsaw puzzles or games involving an artistic layout such as Mahjong, solitaire, or some video games). Games are sometimes played purely for enjoyment, sometimes for achievement or reward as well. They can be played alone, in teams, or online; by amateurs or by professionals. The players may have an audience of non-players, such as when people are entertained by watching a chess championship. On the other hand, players in a game may constitute their own audience as they take their turn to play. Often, part of the entertainment for children playing a game is deciding who is part of their audience and who is a player. A toy and a game are not the same. Toys generally allow for unrestricted play whereas games come with present rules. K ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schenectady, New York
Schenectady () is a city in Schenectady County, New York, United States, of which it is the county seat. As of the 2020 census, the city's population of 67,047 made it the state's ninth-largest city by population. The city is in eastern New York, near the confluence of the Mohawk and Hudson rivers. It is in the same metropolitan area as the state capital, Albany, which is about southeast. Schenectady was founded on the south side of the Mohawk River by Dutch colonists in the 17th century, many of whom came from the Albany area. The name "Schenectady" is derived from the Mohawk word ''skahnéhtati'', meaning "beyond the pines" and used for the area around Albany, New York. Residents of the new village developed farms on strip plots along the river. Connected to the west by the Mohawk River and Erie Canal, Schenectady developed rapidly in the 19th century as part of the Mohawk Valley trade, manufacturing, and transportation corridor. By 1824, more people worked in manufac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Union College
Union College is a private liberal arts college in Schenectady, New York. Founded in 1795, it was the first institution of higher learning chartered by the New York State Board of Regents, and second in the state of New York, after Columbia College (formerly King's College). In the 19th century, it became known as the "Mother of Fraternities",Somers (2003), p. 304 as three of the earliest Greek letter societies were established there. The school was once referred to as one of the " Big Four" alongside Harvard University, Yale University and Princeton University, before the Civil War and a financial scandal led to its fall from grace and the top national rankings. Union began enrolling women in 1970, after 175 years as an all-male institution. The college offers a liberal arts curriculum across 21 academic departments, as well as opportunities for interdepartmental majors and self-designed organizing theme majors. It offers a wide array of courses in the humanities, social sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Envy-free Cake-cutting
An envy-free cake-cutting is a kind of fair cake-cutting. It is a division of a heterogeneous resource ("cake") that satisfies the envy-free criterion, namely, that every partner feels that their allocated share is at least as good as any other share, according to their own subjective valuation. When there are only two partners, the problem is easy and was solved in antiquity by the divide and choose protocol. When there are three or more partners, the problem becomes much more challenging. Two major variants of the problem have been studied: * Connected pieces, e.g. if the cake is a 1-dimensional interval then each partner must receive a single sub-interval. If there are n partners, only n-1 cuts are needed. * General pieces, e.g. if the cake is a 1-dimensional interval then each partner can receive a union of disjoint sub-intervals. Short history Modern research into the fair cake-cutting problem started in the 1940s. The first fairness criterion studied was proportional divi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steven Brams
Steven J. Brams (born November 28, 1940 in Concord, New Hampshire) is an American game theory, game theorist and political scientist at the New York University Department of Politics. Brams is best known for using the techniques of game theory, public choice theory, and social choice theory to analyze voting systems and fair division. He is one of the independent discoverers of approval voting, as well as extensions of approval voting to multiple-winner elections to give proportional representation of different interests. Brams was a co-discoverer, with Alan D. Taylor, Alan Taylor, of the first envy-free cake-cutting solution for ''n'' people. Previous to the Brams-Taylor procedure, the cake-cutting problem had been one of the most important open problems in contemporary mathematics. He is co-inventor with Taylor of the fair-division procedure, adjusted winner, which was patented by New York University in 1999 (# 5,983,205). Adjusted winner has been licensed to a Boston law firm, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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