Let G be a group acting via ring automorphisms on an integral domain R. A ring-theoretic property of R is said to G-invariant, if $$R^G$$ also has the property, where $$R^G=\{r\in \ | \sigma (r)=r \text {for all} \in G\},$$ fixed action. In this paper we prove following classes rings are invariant under operation $$R\rightarrow R^G:$$ locally pqr domains, Strong G-domains, Hilbert rings, S-stro...

In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...

We prove the C regularity and developability of W 2,m Sobolev isometric immersions of m-dimensional domains into R. A corollary is the strong density of smooth mappings in this class when the domain is convex. We also prove that any W -isometric immersion of S inside S is a rigid motion.

An account is ooered of the sense of referring expressions in in-tensional contexts. Unlike Russell's classic account in terms of the de re/de dicto distinction, this doesn't rely on a quantiier scope ambiguity in the logical form. Instead, diierent senses of a referring expression are captured by the diierent discourse models which emerge in diier-ent contexts of use. This approach has two adv...

the human learns language in his milieu and society. in each society, this language relates between all people. every language, specially arabic language with its valuable synonyms that have the distinguished significance and with its collocation power, pave the way for formation the language signs in wide and extreme surface. in linguistic, language is an organization of signs. because languag...

The impact of mechanical layering and the strength of the Indian lower crust on the dynamics of the modern India-Asia collisional system are studied using 3-D thermomechanical modeling. The model includes an Indian oceanic domain, Indian continental domain, and an Asian continental domain. Each domain consists of four layers: upper/lower crust, and upper/lower lithospheric mantle. The Tarim and...

Amemory-enabled program representation in strongly-typed Genetic Programming (GP) is compared against the standard representation in a number of financial time-series modelling tasks. The paper first presents a survey of GP systems that utilise memory. Thereafter, a number of simulations show thatmemory-enabled programs generalise better than their standard counterparts in most datasets of this...