Production and on-line comprehension of definiteness in English and Dutch by monolingual and sequential bilingual children

The present article examines production and on-line processing of definite articles in Turkish-speaking sequential bilingual children acquiring English and Dutch as second languages (L2) in the UK and in the Netherlands, respectively. Thirty-nine 6–8-year-old L2 children and 48 monolingual (L1) age-matched children participated in two separate studies examining the production of definite articles in English and Dutch in conditions manipulating semantic context, that is, the anaphoric and the bridging contexts. Sensitivity to article omission was examined in the same groups of children using an on-line processing task involving article use in the same semantic contexts as in the production task. The results indicate that both L2 children and L1 controls are less accurate when definiteness is established by keeping track of the discourse referents (anaphoric) than when it is established via world knowledge (bridging). Moreover, despite variable production, all groups of children were sensitive to the omission of definite articles in the on-line comprehension task. This suggests that the errors of omission are not due to the lack of abstract syntactic representations, but could result from processes implicated in the spell-out of definite articles. The findings are in line with the idea that variable production in child L2 learners does not necessarily indicate lack of abstract representations (Haznedar and Schwartz, 1997).

Identifiability and definiteness in Chinese

This article explores how the pragmatic notion of identfiability is encoded in Chinese. It presents a detailed analysis of the distinctive linguistic devices, including lexical, morphological, and position in sentence, which are employed in Chinese to indicate the interpretation of referents in respect of identifiability. Of the major determiners in Chinese, demonstratives are developing uses of a definite article, and yi 'one' + classier has developed uses of an indefinite article, although morphologically and in some cases also functionally they have not yet been fully grammaticalized. What makes Chinese further different from languages like English is the interpretation in this regard of what are called indeterminate lexical encodings, which include bare NPs and cardinality expressions. They by themselves are neutral in respect of the interpretation of identifiability. For indeterminate expressions, there is a strong but seldom absolute correlation between the interpretation of identiability or nonidentfiability and their occurrence in different positions in a sentence. Unlike the cases with several other languages without articles like Czech, Hindi, and Indonesian, the features of definiteness and indefiniteness cannot be obligatorily and uniquely specified for nominal expressions in Chinese. The findings in this article lead to the conclusion that definiteness as a grammatical category defined in the narrow sense has not been fully developed in Chinese.

The role of animacy and definiteness in the clitic-DP nexus

We extend Cuervo's (2003) analysis of the Lower Applicative Dative DP in Spanish to account for the animate definite DP preceded by a and the fact that it is not possible to have both an animate dative definite direct object and a dative indirect object in the same clause. We argue that the presence of such a dative DP 'blocks' the upward movement of the direct object DP to the specifier of the Lower Applicative phrase. We analyse the case ‘mismatch’ between the third person accusative clitic and the co-referring dative DP with animate definite reference in River Plate Spanish as resulting from the raising of the accusative clitic to the head of the Applicative phrase and the movement of the DP to its specifier, where dative case is always assigned in Spanish. We propose that similar phenomena observed in some Australian languages are amenable to a similar analysis.

The predicate marker li in Mauritian Creole

There is a morpheme 'li' in Mauritian Creole (MC), which is homophonous with the 3sg pronoun, and which, in the early creole, occurs frequently between the subject and the predicate in affirmative, present tense clauses. I propose that that 'li' may have originated as a resumptive pronoun, co-referential with the subject, but following the grammaticalization of new determiner elements to mark the semantic contrasts of [±definite] and singular vs. plural, 'li' has now grammaticalized into a predicate marker. Its presence is sensitive to both the nature of the predicate, and to the definiteness and specificity features of the subject NP. My analysis is within the framework of Truth Conditional Semantics, where indefinite NPs are analyzed as variables that get introduced into the discourse, and must be bound by an operator to yield a closed proposition, with a truth value. Drawing on a comparison with a cognative morpheme 'i' in Seychellois Creole, I claim that its path to grammaticalization is linked to that of the specificity marking 'la'.

The emergence of the determiner system in Mauritian Creole: a syntax semantics mapping

This paper describes the emergence of new functional items in the Mauritian Creole noun phrase, following the collapse of the French determiner system when superstrate and substrate came into contact. The aim of the paper is to show how the new language strived to express the universal semantic contrasts of (in)definiteness and singular vs. plural. The process of grammaticalization of new functional items in the determiner system was accompanied by changes in the syntax from French to creole. An analysis within Chomsky’s Minimalist framework (1995, 2000, 2001) suggests that these changes were driven by the need to map semantic features onto the syntax.

Acquisition of the English article system in SLA and the Missing Surface Inflection Hypothesis

This paper examines the article system in interlanguage grammar focusing on Japanese learners of English, whose native language lacks articles. It will be demonstrated that for the acquisition of the English article system, count/mass distinctions and definiteness are the crucial factors. Although Japanese does not employ the article system to encode these aspects, it will be argued that they are nevertheless syntactically encoded through its classifier system. Hence, the problem for these learners must be to map these features onto the appropriate surface forms as the Missing Surface Inflection Hypothesis predicts (Prévost & White 2000). This suggestion will further be supported empirically by a fill-in-the article task. It will be concluded that these Japanese learners understand the English article system fairly well, possibly due to their native language, yet have problems with realizing the relevant features (i.e. count/mass distinctions and definiteness) in the target language.

Probing the scalar-pseudoscalar mixing in the 125 GeV Higgs particle with current data

LHC has found hints for a Higgs particle of 125 GeV. We investigate the possibility that such a particle is a mixture of scalar and pseudoscalar states. For definiteness, we concentrate on a two-Higgs doublet model with explicit CP violation and soft Z(2) violation. Including all Higgs production mechanisms, we determine the current constraints obtained by comparing h -> yy with h -> VV*, and comment on the information which can be gained by measurements of h -> b (b) over bar. We find bounds vertical bar s(2)vertical bar less than or similar to 0.83 at one sigma, where vertical bar s(2)vertical bar = 0 (vertical bar s(2)vertical bar = 1) corresponds to a pure scalar (pure pseudoscalar) state.

Complex variable positive definite functions

In this paper we develop an appropriate theory of positive definite functions on the complex plane from first principles and show some consequences of positive definiteness for meromorphic functions.

Species och artikelbruk i finskspråkiga grundskoleelevers inlärarsvenska. En longitudinell undersökning i årskurserna 7–9

Denna doktorsavhandling utreder hur finska grundskolelever använder de svenska substantivens bestämdhetsformer och artiklar och hur deras kunskaper utvecklas under årskurserna 7-9. Species och artikelbruk är problematiska för alla andraspråksinlärare i svenska, men de är synnerligen svåra för inlärare vars förstaspråk saknar morfologisk species. Det svenska systemet avviker också kraftigt från det motsvarande systemet i engelskan, varför tidigare kunskaper i engelska inte är till någon stor hjälp i inlärningen, låt vara att bestämdheten som begrepp redan är bekant för inläraren. Den teoretiska referensramen bygger på både grammatiska beskrivningar av den svenska grammatiken och på teorierna om grammatikinlärningen i andraspråk. Bland de sistnämnda är teorierna om tvärspråkligt inflytande, explicit respektive implicit inlärning samt helsekvensinlärning (på engelska formulaic language) av relevans. Undersökningsmaterialet består av korta texter samt inspelat muntligt material som med jämna mellanrum insamlats av finskspråkiga grundskolelever (n=67) som läser B-svenska. Undersökningen är i första hand kvantitativ, om än inmatningen av nominalfraserna i materialet samt deras formella och semantiska aspekter i analysprogrammet Microsoft Access också innebar en omfattande kvalitativ analys. Undersökningen bygger på performansanalysen och analysen av obligatoriska kontexter och beräkningen av frekvenser och korrekthetsprocent för de olika nominalfrastyperna. Informanterna använder komplext språk redan i årskurs 7. Korrekthetsprocenten stiger under undersökningstiden i de flesta frastyperna, men skillnaderna är sällan statistiskt signifikanta. Den normativa analysen visar också, att formfelen är i både det skriftliga och det muntliga materialet signifikant vanligare än speciesfelen. Det är med andra ord lättare för informanterna att välja rätt species än att bilda en korrekt nominalfras. I tidigare undersökningar i Sverige har likadana resultat nåtts. De mest centrala frastyperna i undersökningen bildar i båda typerna av materialet en inlärningsgång som upprepas i alla årskurser och kan förklaras med komplexitetsskillnaderna mellan de olika frastyperna. Informanterna behärskar bäst de frastyper, som varken innehåller artiklar eller ändelser. Näst bäst behärskar de substantivets bestämda form singularis och svagast obestämd form singularis, vars artikel är en klassisk svårighetskälla för finska svenskinlärare. Analysen av informanternas läromedel visar dock att den typiska undervisningsordningen i läromedlen inte motsvarar inlärningsgången som upptäckts i denna undersökning.

A Test of New Aggregate Damand Curvature Properties.

In This Paper We Present and Implement an Econometric Test of Both Negative Semi-Definiteness of the Matrix of Compensated Price Effects and of the Negative Quasi-Definiteness of the Matrix of Uncompensated Price Effects. This Test Allows Us to Evaluate Two Alternative Characterizations of Aggregate Demand Systems: the First, That They Behave Like Individual Demand Fuctions, and the Second, That They Respect the Properties Implied by the Assumptions Proposed by Hidebrand (1983) Or Grandmont (1984).

Stochastic perturbations to dynamical systems: a response theory approach

Using the formalism of the Ruelle response theory, we study how the invariant measure of an Axiom A dynamical system changes as a result of adding noise, and describe how the stochastic perturbation can be used to explore the properties of the underlying deterministic dynamics. We first find the expression for the change in the expectation value of a general observable when a white noise forcing is introduced in the system, both in the additive and in the multiplicative case. We also show that the difference between the expectation value of the power spectrum of an observable in the stochastically perturbed case and of the same observable in the unperturbed case is equal to the variance of the noise times the square of the modulus of the linear susceptibility describing the frequency-dependent response of the system to perturbations with the same spatial patterns as the considered stochastic forcing. This provides a conceptual bridge between the change in the fluctuation properties of the system due to the presence of noise and the response of the unperturbed system to deterministic forcings. Using Kramers-Kronig theory, it is then possible to derive the real and imaginary part of the susceptibility and thus deduce the Green function of the system for any desired observable. We then extend our results to rather general patterns of random forcing, from the case of several white noise forcings, to noise terms with memory, up to the case of a space-time random field. Explicit formulas are provided for each relevant case analysed. As a general result, we find, using an argument of positive-definiteness, that the power spectrum of the stochastically perturbed system is larger at all frequencies than the power spectrum of the unperturbed system. We provide an example of application of our results by considering the spatially extended chaotic Lorenz 96 model. These results clarify the property of stochastic stability of SRB measures in Axiom A flows, provide tools for analysing stochastic parameterisations and related closure ansatz to be implemented in modelling studies, and introduce new ways to study the response of a system to external perturbations. Taking into account the chaotic hypothesis, we expect that our results have practical relevance for a more general class of system than those belonging to Axiom A.

Symmetric stability of compressible zonal flows on a generalized equatorial β plane

Sufficient conditions are derived for the linear stability with respect to zonally symmetric perturbations of a steady zonal solution to the nonhydrostatic compressible Euler equations on an equatorial � plane, including a leading order representation of the Coriolis force terms due to the poleward component of the planetary rotation vector. A version of the energy–Casimir method of stability proof is applied: an invariant functional of the Euler equations linearized about the equilibrium zonal flow is found, and positive definiteness of the functional is shown to imply linear stability of the equilibrium. It is shown that an equilibrium is stable if the potential vorticity has the same sign as latitude and the Rayleigh centrifugal stability condition that absolute angular momentum increase toward the equator on surfaces of constant pressure is satisfied. The result generalizes earlier results for hydrostatic and incompressible systems and for systems that do not account for the nontraditional Coriolis force terms. The stability of particular equilibrium zonal velocity, entropy, and density fields is assessed. A notable case in which the effect of the nontraditional Coriolis force is decisive is the instability of an angular momentum profile that decreases away from the equator but is flatter than quadratic in latitude, despite its satisfying both the centrifugal and convective stability conditions.