We analyze various classes of multi-dimensional almost periodic type functions in general metrics. The main under consideration are $(\mathrm R,\mathcal B,\mathcal P,L)$-multi-almost functions, R_{X},\mathcal B,\mat

After the introduction of Alam–Imdad’s relation-theoretic contraction principle, field metric fixed point theory has attracted much attention. A number theorems in context relational space employing various types contractions been appeared during last seven years. In this manuscript, one proved a metrical theorem for ϕ-contraction involving (c)-comparison functions an amorphous relation. The re...

This paper presents the three major ways that iambs play a role in Kashaya phonology: iambic lengthening, reshuffling of vowel length, and location of stress. Contrasting analyses of the phenomena are given in an ordered-rule Lexical Phonology approach and in constraint-based Optimality Theory. It is shown that only a nonderivational approach based on surface constraints succeeds in unifying th...

This paper explores the application of Bayesian probabilistic modeling to issues of music cognition and music theory. The main concern is with the problem of key-finding: the process of inferring the key from a pattern of notes. The Bayesian perspective leads to a simple, elegant, and highly effective model of this process; the same approach can also be extended to other aspects of music percep...

Studies on English verses have claimed that the position in which a pause is inserted has a great effect on determining their rhythm. The position in which a pause appears follows a certain rule for the verses to be ‘rhythmic’, however, it is not yet obvious whether Japanese Haiku also has such tendencies or preferences. In this paper, we analysed and compared the metrical structure of English ...

The input data to grammar learning algorithms often consist of overt forms that do not contain full structural descriptions. This lack of informationmay contribute to the failure of learning. Past work on Optimality Theory introduced Robust Interpretive Parsing (RIP) as a partial solution to this problem.We generalize RIP and suggest replacing the winner candidate with a weighted mean violation...

Neighborhoods and neighborhood sequences play important roles in several branches of pattern analysis. In earlier papers in Z only certain special (e.g. periodic or octagonal) sequences were investigated. In this paper we study neighborhood sequences which are either ultimately periodic or allow at every neighborhood to do nothing at no cost. We give finite procedures and descriptive theoretica...