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Conditional statements often imply meanings that extend beyond their literal content, influenced by contextual factors such as the Question Under Discussion (QUD) and a speaker’s epistemic state. One such inference is Conditional Perfection (CP), wherein a statement like, “If p then q,” is strengthened to imply that the antecedent p is the only ...
Alan Bale
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A \(\beta \)-perfect graph is a simple graph \(G\) such that \(\chi (G')=\beta (G')\) for every induced subgraph \(G'\) of \(G\), where \(\chi (G')\) is the chromatic number of \(G'\), and \(\beta (G')\) is defined as the maximum over all induced subgraphs \(H\) of \(G'\) of the minimum vertex degree in \(H\) plus 1 (i.e., \(\delta (H)+1\)).
Keijsper, J.C.M., Tewes, M.
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An information theoretic necessary condition for perfect reconstruction
27 pages, 9 ...
Idris Delsol +4 more
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A nonsingular real matrix is said to be perfectly conditioned if its condition number is equal to one. In this paper it is shown that a nonsingular real matrix is perfectly conditioned if and only if the matrix is a nonzero scalar multiple of a norm-preserving linear operator.
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Composite norms and perfect conditioning [PDF]
We study condition numbers for composite norms and analyze the situations where perfect conditioning occurs.
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A rationality condition for the existence of odd perfect numbers [PDF]
A rationality condition for the existence of odd perfect numbers is used to derive an upper bound for the density of odd integers such that σ(N) could be equal to 2N, where N belongs to a fixed interval with a lower limit greater than 10300. The rationality of the square root expression consisting of a product of repunits multiplied by twice the base ...
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Neighborhood conditions and edge-disjoint perfect matchings
A graph \(G\) satisfies the all pairs neighborhood condition \(\text{ANC}(G)\geq m\) if, for each pair \(x,y\) of vertices of \(G\), we have \(| N_ G(x)\cup N_ G(y)|\geq m\). Let \(k\) be a fixed positive integer and \(G\) a graph of even order \(n\) which satisfies the following conditions: (1) the minimum degree of \(G\) is at least \(k+1\); (2) the ...
Ralph J. Faudree +2 more
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Commutative Ring Extensions Defined by Perfect-Like Conditions
UDC 512.5 In 2005, Enochs, Jenda, and López-Romos extended the notion of perfect rings to n -perfect rings such that a ring is n -perfect if every flat module has projective dimension less or equal than n . Later, Jhilal and Mahdou defined a commutative unital ring R to be strongly n -perfect if any R -module of flat dimension
Ismaili, K. Alaoui +2 more
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Dynamic Incentives and Markov Perfection: Putting the 'Conditional' in Conditional Cooperation [PDF]
This paper experimentally examines the selection of equilibria in dynamic games. Our baseline treatment is a two-state extension of an indefinitely repeated prisoner’s dilemma, which we modify in series of treatments to study the focality of efficiency and symmetry, the effect dynamic and static strategic externalities, and the size of the state-space.
Emanuel Vespa, Alistair J. Wilson
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An Information Theoretic Condition for Perfect Reconstruction
A new information theoretic condition is presented for reconstructing a discrete random variable X based on the knowledge of a set of discrete functions of X. The reconstruction condition is derived from Shannon’s 1953 lattice theory with two entropic metrics of Shannon and Rajski.
Delsol, Idris +4 more
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