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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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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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Excess molar enthalpies, measured at 298.15 K in a Calvet microcalorimeter, are reported for {x1tert-butyl methyl ether (MTBE)+x2ethanol (EtOH)+(1−x1x2)heptane}. Smooth representations of the results are presented and used to construct contant excess molar enthalpy contours on Roozeboom diagrams.

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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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This paper studies the legendary modern Chinese writer Eileen Chang’s (1920–1995) “Jinsuo ji” (1943) and her three rewritings/translations of it into The Rouge of the North (1967), Yuannü (1966), and “The Golden Cangue” (1971). I argue that “Jinsuo ji” and its revisions/translations exemplify a state of in-betweenness, wherein Chang both elaborates upon and even undermines the representations of the female body depicted in earlier versions. The female body, as constructed in these four versions of the story, illustrates at once an imprisonment by and a resistance to Chinese and Western aesthetic ideals. In what follows, I will investigate the multiple revisions and translations of this tale, the changes of title and focus, the beginnings and the endings, and the revisions of the representations of the female body, as well as offering possible reasons for their transformation and the significance of them.

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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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