In Swedish determiner phrases definiteness can be realised both pre-nominally with a definite article and postnominally with a definite suffix on the head noun. This paper discusses the distribution of definiteness morphology in a number of morphosyntactic contexts. Separate patterns of definiteness marking emerge when considering the following morphosyntactic contexts: DPs modified with a prep...

A central concept in the study of vagueness is the concept of a borderline case. This concept has its most basic application when we are faced with a question of the form ‘Is x F?’, but are unwilling to answer ‘Yes’ or ‘No’ for a certain distinctive kind of reason. Wanting to be co-operative, we need to say something; by saying ‘It’s a borderline case’, we excuse our failure to give a straightf...

Identification of positive definiteness of functions is crucial in control theory. However for generalized homogeneous functions, there does not exist an effective method to identify the positive definiteness. In this paper, we consider Lipschitz continuous generalized homogeneous functions. For the functions, we propose a new method to identify the positive definiteness of the functions. Moreo...

The prototypes of definiteness and indefiniteness in English are the definite article the and the indefinite article a/an, and singular noun phrases (NPs) determined by them. That being the case it is not to be predicted that the concepts, whatever their content, will extend satisfactorily to other determiners or NP types. However it has become standard to extend these notions. Of the two categ...

Two experiments tested how faithfully German children aged 4 ;5 to 5 ;6 reproduce ditransitive sentences that are unmarked or marked with respect to word order and focus (Exp1) or definiteness (Exp2). Adopting an optimality theory (OT) approach, it is assumed that in the German adult grammar word order is ranked lower than focus and definiteness. Faithfulness of children's reproductions decreas...

In this paper we study the positive definiteness of meet and join matrices using a novel approach. When the set Sn is meet closed, we give a sufficient and necessary condition for the positive definiteness of the matrix (Sn)f . From this condition we obtain some sufficient conditions for positive definiteness as corollaries. We also use graph theory and show that by making some graph theoretic ...