We first introduce 20 weak forms of continuity, which are closely related to 5 known weak forms of continuity. Then we classify them into 9 groups and give 12 decompositions of continuity. 1. Introduction. Continuity is one of the most important concepts in mathematics. In order to find deep properties of continuity, many weak forms of continuity were introduced in the literature. For instance,...

In the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. Then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

the dynamical behavior of a map on the unit interval has been the subject of much contemporary research. in this paper, we will consider the relation between the continuity of the map cof and cof for some positive integer k, where f is a continuous map from the unit interval to itself, and ?f is a function which takes any element of the unit interval to the set of all subsequential limits of th...

This paper examines over 900 why-questions gathered in a longitudinal study of an English-speaking child from 2 to 6 years of age. The child went through a protracted stage in which many why-questions lacked subject-aux inversion, in contrast to other wh-questions. While this asymmetry has been observed in the previous literature, several new observations also emerged. First, the child permitte...