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Abstract

Let {P n}n≥0 be the sequence of Padovan numbers defined by P 0 = 0, P 1 = 1, P 2 = 1, and Pn +3 = Pn +1 + Pn for all n ≥ 0. In this paper, we find all integers c admitting at least two representations as a difference between a Padovan number and a power of 3.

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We present new properties of the Besov--Hankel spaces introduced in [10]. We prove a Hankel version of a result of Bui, Paluszyński and Taibleson obtaining new norms that define the topology of the Besov--Hankel spaces. Also we get atomic representations for the distributions in the spaces under consideration.

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Summary Classical representations of the Legendre polynomials in terms of generating functions are nonconvergent in the usual sense for extreme values of the generating parameter. A generalized type of convergence is explored and, in conjunction with the theory of Fourier series and spherical harmonics, it is applied to the computation of the fundamental solution of the Laplace-Beltrami operator on the n-sphere.

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The main purpose of this note is to exhibit a concrete representation for a four atom relation algebra which was known to be representable without an actual representation having been found. Along the way, representations are given for all integral relation algebas with four atoms which are generated by a partial order.

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Some identities of sums associated with harmonic numbers and binomial coefficients are developed. Integral representations and closed form identities of these sums are also given.

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Excess molar enthalpies, measured at 298.15 K in a Calvet microcalorimeter, are reported for {x 1 tert-butyl methyl ether (MTBE)+x 2ethanol (EtOH)+(1−x 1x 2)heptane}. Smooth representations of the results are presented and used to construct contant excess molar enthalpy contours on Roozeboom diagrams.

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The application of biliometric methods and tools for analysing data from information sciences and patent data bases allow us to obtain different representations of an area that is particularly fragmented and difficult to interpret: plant biotechnologies in which nitrogen fixation has been particularly highlighted.

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representations from the Precucuteni and Cucuteni cultures. Anatolica 19 (1993) 130–141. Mantu C.-M. Anthropomorphic representations from the Precucuteni and Cucuteni cultures

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We follow Pollard (2007) in assuming that the mainstream Kripke/Montagueinspired possible-worlds semantics is “a framework known to have dubious foundations” (primarily because of the granularity problem), and “worlds are constructed from propositions […], and not the other way around”. We intend to work out this approach in a DRT-based framework, called ReALIS, in order to account for phenomena concerning referent accessibility, at the same time. We claim that our system offers a general solution to problems of intensional identity, and it is devoid of DRT’s “extra level” problem—by embedding discourse representations in the world model, not directly but as parts of the representations of interpreters’ minds, i.e., their (permanently changing) information states/“internal worlds”. Hence, there is simply no intensionality in ReALIS as interpreters’ “worldlets” (in description of their brains within the entire model of the universe) carry all kinds of information (BDI, guesswork, dream) typically “entrusted to” possible worlds.

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In spite of their differences, Two-level Conceptual Semantics, Generative Lexicon Theory and Relevance Theory also have similarities with respect to treatment of the relation of word meanings and contexts. Therefore, the three theories can be considered as complementing each other in analysing word meanings in utterances. In the present paper I will outline a conception of lexical pragmatics which critically amalgamates the views of these theories and has more explanatory power than each theory does separately. Such a lexical pragmatic conception accepts lexical-semantic representations which can be radically underspecified and allow for other methods of meaning description than componential analysis. As words have underspecified meaning representations, they reach their full meanings in corresponding contexts (immediate or extended) through considerable pragmatic inference. The Cognitive Principle of Relevance regulates the way in which the utterance meaning is construed.

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