In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...

Background: Chronic obstructive pulmonary disease (COPD) is a respiratory disorder with increasing prevalence and mortality. It is associated with airway obstruction, increased airway hyper-responsiveness (AHR), and ongoing airway and lung inflammation dominated by CD8 lymphocytes and neutrophils. Singlenucleotide polymorphisms (SNPs) in a disintegrin and metalloprotease 33 (ADAM33) gene have b...

In the historical development of Riesz spaces, we can trace history ordered vector spaces to International Mathematical Congress in Bologna 1928. Studies related with f-Algebras for Dedekind complete space defined were initiated by Nakano and their current definition was made Amemiya, Birkhoff Pierce.The revival f-algebras, which had a tendency slow down period time, emerged as result Pagter's ...

We use a large N-body simulation to study the characteristic scales in density gradient profiles and around halos with masses ranging from $10^{12}$ $10^{15} h^{-1}{\rm M_\odot}$. investigate separately along major (T_1) minor (T_3) axes of local tidal tensor how depend on halo mass, formation time, environment. find two kinds prominent features profiles, deep `valley' `peak'. Gaussian Process ...

Abstract Given finite configurations $P_1, \dots , P_n \subset \mathbb {R}^d$ let us denote by $\mathbf {m}_{\mathbb {R}^d}(P_1, P_n)$ the maximum density a set $A \subseteq can have without containing congruent copies of any $P_i$ . We will initiate study this geometrical parameter, called independence considered configurations, and give several results we believe are interesting. For instance...

In this paper, we investigate the role of square functions defined for a d-tuple commuting Ritt operators $$(T_1,\ldots ,T_d)$$ acting on general Banach space X. Firstly, prove that if admits $$H^\infty $$ joint functional calculus, then it verifies various function estimates. Then study converse when every $$T_k$$ is R-Ritt operator. Under last hypothesis, and X K-convex space, show estimates ...

in this article, we consider the uniqueness of the difference monomials $f^{n}(z)f(z+c)$. suppose that $f(z)$ and $g(z)$ are transcendental meromorphic functions with finite order and $e_k(1, f^{n}(z)f(z+c))=e_k(1, g^{n}(z)g(z+c))$. then we prove that if one of the following holds (i) $n geq 14$ and $kgeq 3$, (ii) $n geq 16$ and $k=2$, (iii) $n geq 22$ and $k=1$, then $f(z)equiv t_1g(z)$ or $f(...

We study simply connected Lie groups $G$ for which the hull-kernel topology of primitive ideal space $\text{Prim}(G)$ group $C^*$-algebra $C^*(G)$ is $T_1$, that is, finite subsets are closed. Thus, we prove AF-embeddable. To this end, show if solvable and its action on centre $[G, G]$ has at least one imaginary weight, then no nonempty quasi-compact open subsets. in addition locally compact wi...