(ξa)i := ξai for all ξ ∈ R and i ∈ I. (1.2) We are here interested in the case when I := N× or I := N, in which case the elements of R are called real sequences. We deal explicitly only with the case I := N×, but all the definitions and results below apply also to the case I := N. Definition 1: We say that the sequence b ∈ RN is a subsequence of a given sequence a ∈ RN if b = a ◦ σ for some str...

Political scientists studying institutional development face the challenge of accounting for both continuity and change over time. Models of path dependence based on increasing returns, inspired by the example of the QWERTY typewriter keyboard, have played an important role in the analysis of institutional continuity, but they have been criticized for their inability to accommodate change. In t...

Word frequency is an important predictor of word-naming and lexical decision times. It is, however, confounded with contextual diversity, the number of contexts in which a word has been seen. In a study using a normative, corpus-based measure of contextual diversity, word-frequency effects were eliminated when effects of contextual diversity were taken into account (but not vice versa) across t...

As weak forms of continuity in topological spaces, weak continuity [I], quasi continuity [2], semi continuity [3] and almost continuity in the sense of Husain [4] are well-known. Recently, the following four weak forms of continuity have been introduced: weak quasi continuity [5], faint continuity [6], subweak continuity [7] and almost weak continuity [8]. These four weak forms of continuity ar...