We study algebraic properties of categories of Merotopic, Nearness, and Filter Algebras. We show that the category of filter torsion free abelian groups is an epireflective subcategory of the category of filter abelian groups. The forgetful functor from the category of filter rings to filter monoids is essentially algebraic and the forgetful functor from the category of filter groups to the cat...

in this article we introduce the concept of $z^circ$-filter on a topological space $x$. we study and investigate the behavior of $z^circ$-filters and compare them  with corresponding ideals, namely, $z^circ$-ideals of $c(x)$,  the ring of real-valued continuous functions on a completely regular hausdorff space $x$. it is observed that $x$ is a compact space if and only if every $z^circ$-filter ...

In this paper, we proposed a novel structure for designing all optical filter based on photonic crystal structure. In designing the proposed filter, we simply employed a point defect localized between input and output waveguides as wavelength selecting part of the filter. The initial form of this filter is capable of selecting optical waves at =1560 nm, the transmission efficiency of the filte...

BACKGROUND Both rumination and hope have significant impacts on depression. However, few studies concern their trilateral relationship. This study examined the moderator effect of hope on the relationship between rumination on depression in Chinese university students. METHODS 517 college students completed the measures of rumination, hope and depression. RESULTS Hierarchical regression ana...

Human embryonic stem cells (hESCs) provide a platform for studying human development and understanding mechanisms underlying diseases. Retinoblastoma-1 (RB1) is a key regulator of cell cycling, of which biallelic inactivation initiates retinoblastoma, the most common congenital intraocular malignancy. We developed a model to study the role of RB1 in early development and tumor formation by gene...

The existing diversity of languages for special purposes leads to their their commonly highly complex and thoroughly differentiated terminologies. Getting an overview has become almost impossible without appropriate terminology management systems. Existing terminology management systems cannot effectively accommodate regular changes, updates of or additions to multilingual terminologies. While ...