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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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In this article we consider three problems: 1. The asymptotic behaviour of the quadratic moment of the exponential divisor function. 2. The distribution of powerful integers of type 4. 3. The average number of direct factors of a finite Abelian group. We prove new estimates for the error terms in the asymptotic representations. For this purpose new estimates in the general four-dimensional divisor problem are needed.

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The dialect lexical representations of notions from the “public opinion” sphere are the subject of the research. The motivational analysis of such words allowed to reveal the key meanings “showing the attitude to the person”, “assessment”, “influence on the person”, and “the person’s image”. The native Russian speaker bases on them the choice of the motivational feature for the words that represent the lexical-semantic field “public opinion”.

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Workshops of sarcophagi in Aquincum and Brigetio. This contribution deals with problems of chronology, iconography and decoration of the sarcophagi of Aquincum and Brigetio. For the chronology the inscriptions, which name the cities as municipium or colonia are more helpful than the dates of the stationing of the legio I adiutrix and the legio II adiutrix respectively. Regarding the iconography of the many sarcophagi with erotes in the fields on both sides of the inscription the type of this representations is decisive.

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Periodica Mathematica Hungarica
Authors: Shigeki Akiyama, Horst Brunotte, and Attila Pethő

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The concept of a canonical number system can be regarded as a natural generalization of decimal representations of rational integers to elements of residue class rings of polynomial rings. Generators of canonical number systems are CNS polynomials which are known in the linear and quadratic cases, but whose complete description is still open. In the present note reducible CNS polynomials are treated, and the main result is the characterization of reducible cubic CNS polynomials.

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The paper points out that the characteristic properties of general social networks are reflected in co-authorship patterns of theoretical population genetics as studied from 1900 to 1980. The results are consistent with the analyses of bibliographies where the co-authorship networks in invisible colleges probably have shown the same behavioural patterns as the non-scientific populations. The patterns of behaviour are portrayed in two-dimensional as well as three-dimensional representations of co-authorship data in theoretical population genetics.

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The words making up a speaker’s mental lexicon may be stored as abstract phonological representations or else they may be stored as detailed acoustic-phonetic representations. The speaker’s articulatory gestures intended to represent a word show relatively high variability in spontaneous speech. The aim of this paper is to explore the acoustic-phonetic patterns of the Hungarian word akkor ‘then, at that time’. Ten speakers’ recorded spontaneous speech with a total duration of 255 minutes and containing 286 occurrences of akkor were submitted to analysis. Durational and frequency patterns were measured by means of the Praat software. The results obtained show higher variability both within and across speakers than it had been expected. Both the durations of the words and those of the speech sounds, as well as the vowel formants, turned out to significantly differ across speakers. In addition, the results showed considerable within-speaker variation as well. The correspondence between variability in the objective acoustic-phonetic data and the flexibility and adaptive nature of the mental representation of a word will be discussed.For the perception experiments, two speakers of the previous experiment were selected whose 48 words were then used as speech material. The listeners had to judge the quality of the words they heard using a five-point scale. The results confirmed that the listeners used diverse strategies and representations depending on the acoustic-phonetic parameters of the series of occurrences of akkor .

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Differentiated means are defined in order to find formulas for jumps of distributions. We analyze two types of jumps occurring in the notions of distributional jump behavior and symmetric jump behavior. We start by defining what we call Riesz differentiated means for numerical series, then the differentiated means are extended to distributional evaluations for the Schwartz class of tempered distributions. The jumps of tempered distributions are completely determined by the differentiated means of the Fourier transform. We also find formulas for the jumps in terms of the asymptotic behavior of partial derivatives of harmonic representations and harmonic conjugate functions. Applications to Fourier series are given.

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Let f be a primitive positive integral binary quadratic form of discriminant −D, and r f (n) the number of representations of n by f up to automorphisms of f. We first improve the error term E(x) of

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\sum\limits_{n \leqq x} {r_f (n)^\beta }$$ \end{document}
for any positive integer β. Next, we give an estimate of ∫1 T|E(x)|2 x −3/2 dx when β = 1.

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We establish a duality between two categories, extending the Stone duality between totally disconnected compact Hausdorff spaces (Stone spaces) and Boolean rings with a unit. The first category denoted by RHQS, has as objects the representations of Hansdorff quotients of Stone spaces and as morphisms all compatible continuous functions. The second category, denoted by BRLR, has as objects all Boolean rings with a unit endowed with a link relation and as morphisms all compatible Boolean rings with unit morphisms. Furthermore, we study connectedness from an algebraic point of view, in the context of the proposed generalized Stone duality.

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