986 resultados para Morgan Theorem


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Référence bibliographique : Rol, 60740

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Référence bibliographique : Rol, 60744

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A copy of a letter sent to a Mr. [C. Morgan] Arnold from the St. Catharines Garrison Club offering condolences on the death of his son, Major Henry M. Arnold, at the battle of Paardeberg, South Africa.

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This work consists of a theoretical part and an experimental one. The first part provides a simple treatment of the celebrated von Neumann minimax theorem as formulated by Nikaid6 and Sion. It also discusses its relationships with fundamental theorems of convex analysis. The second part is about externality in sponsored search auctions. It shows that in these auctions, advertisers have externality effects on each other which influence their bidding behavior. It proposes Hal R.Varian model and shows how adding externality to this model will affect its properties. In order to have a better understanding of the interaction among advertisers in on-line auctions, it studies the structure of the Google advertisements networ.k and shows that it is a small-world scale-free network.

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Dynamic logic is an extension of modal logic originally intended for reasoning about computer programs. The method of proving correctness of properties of a computer program using the well-known Hoare Logic can be implemented by utilizing the robustness of dynamic logic. For a very broad range of languages and applications in program veri cation, a theorem prover named KIV (Karlsruhe Interactive Veri er) Theorem Prover has already been developed. But a high degree of automation and its complexity make it di cult to use it for educational purposes. My research work is motivated towards the design and implementation of a similar interactive theorem prover with educational use as its main design criteria. As the key purpose of this system is to serve as an educational tool, it is a self-explanatory system that explains every step of creating a derivation, i.e., proving a theorem. This deductive system is implemented in the platform-independent programming language Java. In addition, a very popular combination of a lexical analyzer generator, JFlex, and the parser generator BYacc/J for parsing formulas and programs has been used.

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Payment for the Atkins and Schmidt accounts from Jarvis, Conklin and Morgan Negotiators of Farm Mortgages, Dec. 29, 1884.

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Letter to S.D. Woodruff to acknowledge the sending of Crew and Mauk papers signed Jarvis, Conklin and Co., April 15, 1885.

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Letter to S.D. Woodruff which accompanied Crick documents. It is signed Jarvis, Conklin and Morgan Farm Mortgages, April 18, 1885.

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Letter to S.D. Woodruff which accompanied the Underwood abstract. It is signed Jarvis, Conklin and Morgan, May 4, 1885.

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Letter accompanying coupons to Mr. S.D. Woodruff from Jarvis, Conklin and Morgan, June 23, 1885.

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This paper proves a new representation theorem for domains with both discrete and continuous variables. The result generalizes Debreu's well-known representation theorem on connected domains. A strengthening of the standard continuity axiom is used in order to guarantee the existence of a representation. A generalization of the main theorem and an application of the more general result are also presented.

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In spatial environments, we consider social welfare functions satisfying Arrow's requirements. i.e., weak Pareto and independence of irrelevant alternatives. When the policy space os a one-dimensional continuum, such a welfare function is determined by a collection of 2n strictly quasi-concave preferences and a tie-breaking rule. As a corrollary, we obtain that when the number of voters is odd, simple majority voting is transitive if and only if each voter's preference is strictly quasi-concave. When the policy space is multi-dimensional, we establish Arrow's impossibility theorem. Among others, we show that weak Pareto, independence of irrelevant alternatives, and non-dictatorship are inconsistent if the set of alternatives has a non-empty interior and it is compact and convex.