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Arthur Copeland
Arthur Herbert Copeland (June 22, 1898 Rochester, New York – July 6, 1970) was an American mathematician. He graduated from Harvard University in 1926 and taught at Rice University and the University of Michigan. His main interest was in the foundations of probability. He worked with Paul Erdős on the Copeland-Erdős constant. His son, Arthur Herbert Copeland, Jr. (1926-2019), was also a mathematician. Copeland published a paper about pairwise voting, which was very similar to the work of Ramon Llull and Marquis de Condorcet. The system he described became known as " Copeland's method". Selected works * * * * * * * with Paul Erdős: * with Frank Harary Frank Harary (March 11, 1921 – January 4, 2005) was an American mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory. Harary was a master of clear exposition and, together with ...: * References {{DEFAULTSORT:Copeland, Arthur Herbert ... [...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] |
Ramon Llull
Ramon Llull (; c. 1232 – c. 1315/16) was a philosopher, theologian, poet, missionary, and Christian apologist from the Kingdom of Majorca. He invented a philosophical system known as the ''Art'', conceived as a type of universal logic to prove the truth of Christian doctrine to interlocutors of all faiths and nationalities. The ''Art'' consists of a set of general principles and combinatorial operations. It is illustrated with diagrams. A prolific writer, he is also known for his literary works written in Catalan, which he composed to make his ''Art'' accessible to a wider audience. In addition to Catalan and Latin he also probably wrote in Arabic (although no texts in Arabic survive). His books were translated into Occitan, French, and Castilian during his lifetime. Although his work did not enjoy huge success during his lifetime, he has had a rich and continuing reception. In the early modern period his name became associated with alchemical works. More recently he has ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rice University Faculty
Rice is the seed of the grass species ''Oryza sativa'' (Asian rice) or less commonly ''Oryza glaberrima'' (African rice). The name wild rice is usually used for species of the genera ''Zizania'' and ''Porteresia'', both wild and domesticated, although the term may also be used for primitive or uncultivated varieties of ''Oryza''. As a cereal grain, domesticated rice is the most widely consumed staple food for over half of the world's human population,Abstract, "Rice feeds more than half the world's population." especially in Asia and Africa. It is the agricultural commodity with the third-highest worldwide production, after sugarcane and maize. Since sizable portions of sugarcane and maize crops are used for purposes other than human consumption, rice is the most important food crop with regard to human nutrition and caloric intake, providing more than one-fifth of the calories consumed worldwide by humans. There are many varieties of rice and culinary preferences tend to vary ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1970 Deaths
Year 197 ( CXCVII) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Magius and Rufinus (or, less frequently, year 950 '' Ab urbe condita''). The denomination 197 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * February 19 – Battle of Lugdunum: Emperor Septimius Severus defeats the self-proclaimed emperor Clodius Albinus at Lugdunum (modern Lyon). Albinus commits suicide; legionaries sack the town. * Septimius Severus returns to Rome and has about 30 of Albinus's supporters in the Senate executed. After his victory he declares himself the adopted son of the late Marcus Aurelius. * Septimius Severus forms new naval units, manning all the triremes in Italy with heavily armed troops for war in the East. His soldiers embark ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1898 Births
Events January–March * January 1 – New York City annexes land from surrounding counties, creating the City of Greater New York as the world's second largest. The city is geographically divided into five boroughs: Manhattan, Brooklyn, Queens, The Bronx and Staten Island. * January 13 – Novelist Émile Zola's open letter to the President of the French Republic on the Dreyfus affair, ''J'Accuse…!'', is published on the front page of the Paris daily newspaper ''L'Aurore'', accusing the government of wrongfully imprisoning Alfred Dreyfus and of antisemitism. * February 12 – The automobile belonging to Henry Lindfield of Brighton rolls out of control down a hill in Purley, London, England, and hits a tree; thus he becomes the world's first fatality from an automobile accident on a public highway. * February 15 – Spanish–American War: The USS ''Maine'' explodes and sinks in Havana Harbor, Cuba, for reasons never fully established, killing 266 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theorists
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th Ed, (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', (Vol 1), 3rd Ed, (1968), Wiley, . The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%). These conce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvard University Alumni
The list of Harvard University people includes notable graduates, professors, and administrators affiliated with Harvard University. For a list of notable non-graduates of Harvard, see notable non-graduate alumni of Harvard. For a list of Harvard's presidents, see President of Harvard University. Eight President of the United States, Presidents of the United States have graduated from Harvard University: John Adams, John Quincy Adams, Rutherford B. Hayes, John F. Kennedy, Franklin Delano Roosevelt, Theodore Roosevelt, George W. Bush, and Barack Obama. Bush graduated from Harvard Business School, Hayes and Obama from Harvard Law School, and the others from Harvard College. Over 150 Nobel Prize winners have been associated with the university as alumni, researchers or faculty. Nobel laureates Pulitzer Prize winners ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Frank Harary
Frank Harary (March 11, 1921 – January 4, 2005) was an American mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory. Harary was a master of clear exposition and, together with his many doctoral students, he standardized the terminology of graphs. He broadened the reach of this field to include physics, psychology, sociology, and even anthropology. Gifted with a keen sense of humor, Harary challenged and entertained audiences at all levels of mathematical sophistication. A particular trick he employed was to turn theorems into games—for instance, students would try to add red edges to a graph on six vertices in order to create a red triangle, while another group of students tried to add edges to create a blue triangle (and each edge of the graph had to be either blue or red). Because of the theorem on friends and strangers, one team or the other would have to win. Biography Frank Harary was born in New Yor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Copeland's Method
Copeland's method is a ranked voting method based on a scoring system of pairwise "wins", "losses", and "ties". The method has a long history: * Ramon Llull described the system in 1299, so it is sometimes referred to as "Llull's method" * The Marquis de Condorcet described a similar system in the 1780s, so the method could be referred to as "Condorcet's method", but instead other systems were subsequently devised that choose the Condorcet winner. * Arthur Herbert Copeland described the system in the 1950s, so it has been frequently been called "Copeland's method". (unpublished). Each voter is asked to rank candidates in order of preference. A candidate A is said to have majority preference over another candidate B if more voters prefer A to B than prefer B to A; if the numbers are equal then there is a preference tie. The Copeland score for a candidate is the number of other candidates over whom they have a majority preference ''plus'' half the number of candidates with whom t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marquis De Condorcet
Marie Jean Antoine Nicolas de Caritat, Marquis of Condorcet (; 17 September 1743 – 29 March 1794), known as Nicolas de Condorcet, was a French philosopher and mathematician. His ideas, including support for a liberal economy, free and equal public instruction, constitutional government, and equal rights for women and people of all races, have been said to embody the ideals of the Age of Enlightenment, of which he has been called the "last witness," and Enlightenment rationalism. He died in prison after a period of hiding from the French Revolutionary authorities. Early years Condorcet was born in Ribemont (in present-day Aisne), descended from the ancient family of Caritat, who took their title from the town of Condorcet in Dauphiné, of which they were long-time residents. Fatherless at a young age, he was taken care of by his devoutly religious mother who dressed him as a girl till age eight. He was educated at the Jesuit College in Reims and at the ''Collège de Navarre'' i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Legacy
In law, a legacy is something held and transferred to someone as their inheritance, as by will and testament. Personal effects, family property, marriage property or collective property gained by will of real property. Legacy or legacies may refer to: Arts, media and entertainment People * “Legacy”, a.k.a. Big Popp, a legend in Natick M.A. Comics * " Batman: Legacy", a 1996 Batman storyline * '' DC Universe: Legacies'', a comic book series from DC Comics written by Len Wein * ''Legacy'', a 1999 quarterly series from Antarctic Press * ''Legacy'', a 2003–2005 series released by Dabel Brothers Productions * Legacy, an alternate name for the DC supervillain Wizard who leads the Injustice Society IV team * Legacy (Marvel Comics), an alias used by Genis-Vell, better known as Captain Marvel * Legacy Virus, a fictional virus from the Marvel Universe * Marvel Legacy, a comic book line introduced in 2017 * '' Star Wars: Legacy'', a 2006 series from Dark Horse * '' X-Men: Legacy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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