We derive an indefinite quadrature formula, based on a theorem of Ganelius, for Hp functions, for p > 1, over the interval (−1, 1). The main factor in the error of our indefinite quadrature formula is O(e−π √ ), with 2N nodes and 1 p + 1 q = 1. The convergence rate of our formula is better than that of the Stenger-type formulas by a factor of √ 2 in the constant of the exponential. We conjectur...

In this paper, I argue that Greek shows evidence of having phonetically null indefinite “special” object pronominals (meaning null, clitic-like indefinite pronominals). This claim is motivated by the similarity of a number of constructions involving indefinites to constructions involving cliticized definites. As I will show, it provides a maximally simple account of Greek indefinite object drop...

Not only do indefinite noun phrases introduce new discourse referents, they also equip them with a cataphoric (or forward-looking) potential, i.e. with a certain degree of activation which is mirrored in discourse effects such as the frequency of anaphoric references back to the referent in the subsequent discourse. Comparing the two German indefinite determiners ein ‘a(n)’ and indefinite demon...

Farkas (2002) argues that three types of uses of indefinite NPs that are often deemed specific do not actually form a natural class. The varieties of specificity she considers are: 1. partitivity: indefinite NPs with interpretations like that of English some of the books 2. scopal specificity: indefinite NPs that take widest scope, sometimes out of scope islands, and/or in some languages morpho...

In the recent linguistic literature, much attention has been devoted to the semantics and pragmatics of indefinite NPs. One of the issues that have been addressed is how different indefinite determiners in various languages contribute to the interpretation of the NP or of the whole sentence. The purpose of this talk is, hopefully, to make a further contribution to this investigation by examinin...

articles in general and definite articles in particular can create problems even long after all other aspects of english have been mastered. the present article investigated the learnability problems related to the acquisition of count-mass distinction of english nominals by persian l2 learners. the theoretical underpinning of the study is the interpretability hypothesis (tsimpli & dimitrak...

In many languages, the indefinite article emerges from the numeral ONE. In the course of its diachronic development it acquires additional functions such as marking of specificity and genericity. Thus, different functions of indefinite articles can be seen as stages in the process of grammaticalization. This paper examines the use of edin in Bulgarian as a marker of indefiniteness. It shows tha...

In this paper we parallelly build up the theories of normed linear spaces and of linear spaces with indefinite metric, called also Minkowski spaces for finite dimensions in the literature. In the first part of this paper we collect the common properties of the semi-and indefinite-inner-products and define the semi-indefinite-inner-product and the corresponding structure, the semi-indefinite-inn...