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Binomial theorem
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Church-Rosser theorem
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theorem
theorem in mathematics and logic, statement in words or symbols that can be established by means of deductive logic; it differs from an axiom in that a proof is required for its acceptance. A lemma is a theorem that is demonstrated as an intermediate step in the proof of another, more basic... Read more |
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Coase theorem
Coase theorem An economic theorem that is sometimes used in discussions of external costs in environment-related situations. The standard welfare economic view states that in order to make the market efficient, external costs—such as pollution produced by a company in making a product |
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Pythagorean theorem
Pythagorean theorem The Pythagorean theorem is one of the most famous theorems of geometry. It is often attributed to Pythagoras of Samos (Greece), who lived in the sixth century b.c. The theorem states that in any right triangle, the square of the hypotenuse of the triangle (the side opposite the... Read more |
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Central limit theorem
Central Limit Theorem THE THEOREM APPLICATIONS BIBLIOGRAPHY The central limit theorem (CLT) is a fundamental result from statistics. It states that the sum of a large number of independent identically distributed (iid) random variables will tend to be distributed according to the normal... Read more |
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Bayes theorem
Bayes’ Theorem BIBLIOGRAPHY With one posthumous publication on probability, Reverend Thomas Bayes inspired the development of a new approach to statistical inference known as Bayesian Inference. Read more |
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Fermats last theorem
Fermat's Last Theorem The proof of Fermat's Last Theorem involves two people separated by over 350 years. The first is the French lawyer and mathematician Pierre de Fermat, who, in about 1637, left a note written in the margin of a book. His note said that the equation ... Read more |
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marginal value theorem
marginal value theorem A mathematical rule, proposed by E. L. Charnov in 1976, according to which the optimum time a foraging animal remains in a patch is defined in terms of the rate at which the forager is extracting energy at the time it leaves (the marginal value of the patch). The optimum... Read more |
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Garrett Birkhoff
BIRKHOFF, GARRETT(b. Princeton, New Jersey, 10 January 1911; d. Water Mill, New York, 22 November 1996)abstract algebra, computing.Birkhoff was the son of mathematician George David Birkhoff and Margaret Grafius Birkhoff. George Birkhoff, the father, was the first American mathematician to gain wide... Read more |
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A Simple Graphical Proof of Arrow's Impossibility Theorem.
...provide a constructive proof of Arrow's impossibility theorem. Students (and instructors...alternatives and its function in Arrow's theorem become transparent...straightforward expositions of Arrow's theorem (eg Feldman(1979... |
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Kenneth Arrow on Economic Thought and Academic Freedom
...University to interview economist Kenneth Arrow. Arrow is probably known best for his "impossibility theorem," which he proved in his PHD dissertation...emerges as the most preferred. In 1972. Arrow was awarded the Nobel Memorial Prize in... |
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Food Chemical Risk Analysis.(Review)
...Press), the economist Kenneth Arrow demonstrated that there could...interests in a democratic society. Arrow's so-called 'impossibility theorem' has important implications...appreciate its significance. Arrow's theorem refers to a society... |
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Business applications of emulative neural networks.(Report)
...This, in turn, leads to Arrow's impossibility theorem. The central difficulty in focusing...in the case of an election, Arrow's theorem starts with a finite...from other influences). Thus, Arrow's Impossibility Theorem states... |
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Mind: January 2011, Vol. 120, No. 477.(PHILOSOPHICAL ABSTRACTS)(Periodical...
...social choice literature, such as Arrow's impossibility theorem, may apply to theory choice. If an analogue of Arrow's theorem does hold for theory...possible "escape routes" from Arrow's impossibility result are... |
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SOCIAL CHOICE AND THE MATHEMATICS OF MANIPULATION
...descriptions of more than 25 voting systems, Arrow's Theorem, a historical synopsis, manipulability, resolute...From the theoretical side, Taylor highlights Arrow's Impossibility Theorem as the seminal result that made social choice... |
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What if nature had been thrifty?(The Best of All Possible Worlds: Mathematics...
...into the problems of asymmetry of information and corruption; and individual preference is limited by the Arrow impossibility theorem, which states that such preferences cannot be aggregated in a perfectly coherent way that is also immune to... |
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Abram Bergson (1914-2003) in memoriam.(Biography)
...frontier. This is now known as Arrow's Impossibility Theorem, which holds that unless there...determined. Bergson's reaction to Arrow's Impossibility Theorem was...expense of confusion regarding both Arrow's real contribution and welfare... |
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Reports from Y. Iwata and colleagues advance knowledge in social science.
...restricted domain on which Arrow's impossibility theorem holds. A domain such that...to resolve an Arrovian impossibility, but this resolution is...opportunities, and Arrovian impossibility theorems with consequentialist domains... |
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New Political Economy, scientism and knowledge: a critique from a Hayekian...
...In the half-century since Kenneth J. Arrow established his theorem, more and more imperfections of political...find remedies. To name but a few examples: Arrow's impossibility theorem sparked an enormous Social Choice literature... |