Higher degrees of distributivity in lattices of continuous functions

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

Lattices of Continuous Functions

Distributivity in lattices of fuzzy subgroups

The main goal of this paper is to study the finite groups whose lattices of fuzzy subgroups are distributive. We obtain a characterization of these groups which is similar to a wellknown result of group theory. 2008 Elsevier Inc. All rights reserved.

Degrees of unsolvability of continuous functions

We show that the Turing degrees are not sufficient to measure the complexity of continuous functions on [0, 1]. Computability of continuous real functions is a standard notion from computable analysis. However, no satisfactory theory of degrees of continuous functions exists. We introduce the continuous degrees and prove that they are a proper extension of the Turing degrees and a proper substr...

The Degrees of Unsolvability of Continuous Functions

Computable analysis provides a standard notion of computability for continuous functions on the real numbers. This notion was first explicitly formulated and studied by Lacombe and Grzegorczyk in the 1950’s, although it can be traced back to Turing and beyond that to Brouwer. However, a satisfactory notion of the degrees of unsolvability of continuous functions has only recently been introduced...