In this paper, we will study the continuity of Fourier transform measures with respect to vague topology. We show that is vaguely discontinuous on R, but becomes continuous when restricting a class transformable such either measures, or their transforms are equi-translation bounded. discuss in product and norm convergence positive definite implies equi translation boundedness transforms, which ...

In this paper, we first define soft u-open sets and s-open as two new classes of on bitopological spaces. We show that the class p-open lies strictly between these classes, give several sufficient conditions for equivalence each sets, respectively. addition to these, introduce u-?-open, p-?-open, s-?-open three in spaces, which contain Via notions Lindelöfeness SBTSs. discuss relationship notio...

In this paper we study the metric spaces that are definable in a polynomially bounded ominimal structure. We prove that the family of metric spaces definable in a given polynomially bounded o-minimal structure is characterized by the valuation field Λ of the structure. In the last section we prove that the cardinality of this family is that of Λ. In particular these two results answer a conject...

In this paper, we proposed an approach for detecting the countability of English compound nouns treating the web as a large corpus of words. We classified compound nouns into three classes: countable, uncountable, plural only. Our detecting algorithm is based on simple, viable n-gram models, whose parameters can be obtained using the WWW search engine Google. The detecting thresholds are optimi...