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Colors, Functions, Realizers, and Roles
"... You may speak of a chain, or if you please, a net. An analogy is of little aid. Each cause brings about future events. Without each the future would not be the same. Each is proximate in the sense it is essential. But that is not what we mean by the word. Nor on the other hand do we mean sole cause. ..."
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You may speak of a chain, or if you please, a net. An analogy is of little aid. Each cause brings about future events. Without each the future would not be the same. Each is proximate in the sense it is essential. But that is not what we mean by the word. Nor on the other hand do we mean sole cause. There is no such thing.
StrategyProofness and Arrow’s Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions
 J. Econ. Theory
, 1975
"... Consider a committee which must select one alternative from a set of three or more alternatives. Committee members each cast a ballot which the voting procedure counts. The voting procedure is strategyproof if it always induces every committee member to cast a ballot revealing his preference. I pro ..."
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Cited by 553 (0 self)
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welfare functions. Third, Arrow’s general possibility theorem is proven in a new manner. 1. INTR~OUOTI~N Almost every participant in the formal deliberations of a committee realizes that situations may occur where he can manipulate the outcome of the committee’s vote by misrepresenting his preferences
Bid, ask and transaction prices in a specialist market with heterogeneously informed traders
 Journal of Financial Economics
, 1985
"... The presence of traders with superior information leads to a positive bidask spread even when the specialist is riskneutral and makes zero expected profits. The resulting transaction prices convey information, and the expectation of the average spread squared times volume is bounded by a number th ..."
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Cited by 1273 (5 self)
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that is independent of insider activity. The serial correlation of transaction price differences is a function of the proportion of the spread due to adverse selection. A bidask spread implies a divergence between observed returns and realizable returns. Observed returns are approximately realizable returns plus
Homological Algebra of Mirror Symmetry
 in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
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Cited by 523 (3 self)
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on such a manifold and Taylor coefficients of periods of Hodge structures considered as functions on the moduli space of complex structures on a mirror manifold. Recently it has been realized that one can make predictions for numbers of curves of positive genera and also on CalabiYau manifolds of arbitrary
The Berkeley FrameNet Project
 IN PROCEEDINGS OF THE COLINGACL
, 1998
"... FrameNet is a threeyear NSFsupported project in corpusbased computational lexicography, now in its second year #NSF IRI9618838, #Tools for Lexicon Building"#. The project's key features are #a# a commitment to corpus evidence for semantic and syntactic generalizations, and #b# the repr ..."
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Cited by 643 (3 self)
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#semantic and syntactic# of several thousand words and phrases, each accompanied by #c# a representative collection of annotated corpus attestations, which jointly exemplify the observed linkings between #frame elements" and their syntactic realizations #e.g. grammatical function, phrase type
Monopolistic competition and optimum product diversity. The American Economic Review,
, 1977
"... The basic issue concerning production in welfare economics is whether a market solution will yield the socially optimum kinds and quantities of commodities. It is well known that problems can arise for three broad reasons: distributive justice; external effects; and scale economies. This paper is c ..."
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Cited by 1911 (5 self)
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. Such an optimum can be realized in a market if perfectly discriminatory pricing is possible. Otherwise we face conflicting problems. A competitive market fulfilling the marginal condition would be unsustainable because total profits would be negative. An element of monopoly would allow positive profits, but would
Transferfunction realization for multipliers of the Arveson space
, 2007
"... An interesting and recently much studied generalization of the classical Schur class is the class of contractive operatorvalued multipliers for the reproducing kernel Hilbert space H(kd) on the unit ball Bd ⊂ Cd, where kd is the positive kernel kd(λ, ζ) = 1/(1 −〈λ, ζ 〉) on Bd. We study this spac ..."
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Cited by 12 (9 self)
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this space from the point of view of realization theory and functional models of de Branges–Rovnyak type. We highlight features which depart from the classical univariate case: coisometric realizations have only partial uniqueness properties, the nonuniqueness can be described explicitly
Pair Correlation Function Realizability: Lattice Model Implications
 Journal of Physical Chemistry B
, 2004
"... Despite their long history in experiment, simulation, and analytical theory, pair correlation functions that describe local order in manybody systems still retain a legacy of mathematical mysteries. One such open question concerns “realizability ” of a given candidate pair correlation function, nam ..."
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Cited by 6 (2 self)
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Despite their long history in experiment, simulation, and analytical theory, pair correlation functions that describe local order in manybody systems still retain a legacy of mathematical mysteries. One such open question concerns “realizability ” of a given candidate pair correlation function
Decision Issues on Functions Realized by Finite Automata
, 1999
"... Introduction Let D be some finite alphabet of symbols, (a set of "digits"). A numeration system is a function that associates with each sequence of symbols of D, a number of which it is a representation. Consider further a mapping f from sequences to sequences performed by some device. W ..."
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Introduction Let D be some finite alphabet of symbols, (a set of "digits"). A numeration system is a function that associates with each sequence of symbols of D, a number of which it is a representation. Consider further a mapping f from sequences to sequences performed by some device
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