by elements of Taylor-Hood type where Ω is a polygon in R (when triangular elements are considered) or a union of rectangles in R (when rectangular elements are considered). The construction of the Fortin operator will be given in detail for the case of triangular elements. The extension to rectangular elements is discussed briefly in the final section of the paper. More specifically, for trian...

We construct explicit examples of quaternion-Kähler and hypercomplex structures on bundles over hyperKähler manifolds. study the infinitesimal symmetries these associated Galicki–Lawson moment map. By performing QK reduction we produce several metrics. Moreover are led to a new proof hyperKähler/quaternion-Kähler type correspondence. also give other Einstein metrics balanced Hermitian bundles.

the purpose of the present work is to establish a one-to-one correspondence between the family of interval type-2 fuzzy reflexive/tolerance approximation spaces and the family of interval type-2 fuzzy closure spaces.

One of the main challenges in regenerative medicine is spatiotemporal control angiogenesis, which key for successful repair many tissues, and determines proper integration implant through generation a functional vascular network. To this end, we have designed three-dimensional (3D) model consisting coaxial binary elastin-like recombinamer (ELR) tubular construct. It displays fast slow proteolyt...

A generalization of an (∈, ∈ ∨ q)-fuzzy bi-filter (resp. (∈, ∈ ∨ q)fuzzy bi-filter) of an ordered semigroup is discussed. Characterizations of an (∈, ∈ ∨ qk)-fuzzy bi-filter and an (∈, ∈ ∨ qk)-fuzzy bi-filter are provided. Relations between fuzzy bi-filters and (∈, ∈ ∨ qk)-fuzzy bifilters (resp. (∈, ∈ ∨ qk)-fuzzy bi-filters) are described. Conditions for an (∈, ∈∨ qk)-fuzzy bi-filter (resp. (∈,...

This paper provides a framework for developing computationally efficient multilevel preconditioners and representations for Sobolev norms. Specifically, given a Hilbert space V and a nested sequence of subspaces V1 ⊂ V2 ⊂ . . . ⊂ V , we construct operators which are spectrally equivalent to those of the form A = ∑ k μk(Qk −Qk−1). Here μk , k = 1, 2, . . . , are positive numbers and Qk is the or...

In this paper, the concept of (∈,∈ ∨ qk)-fuzzy quasi-ideals of an ordered semigroup S is introduced by the ordered fuzzy points of S, which is a generalization of fuzzy quasi-ideal of S, and related properties are investigated. Furthermore, we introduce the concepts of prime and completely semiprime (∈,∈ ∨ qk)-fuzzy quasi-ideals of ordered semigroups, and characterize bi-regular ordered semigro...

The genetic lesion in the quakingviable (qk(v)) mutant mice is a deletion 5' to the qkI gene, resulting in severe hypomyelination. qkI produces several QKI protein isoforms via alternative splicing of the C-terminal coding exons. In the qk(v)/qk(v) brain, immunostaining of QKI proteins is diminished in an isoform-differential manner with undefined mechanisms. We examined the expression of QKI p...

In this paper, we introduce the notion of (∊,∊˅qk)-intuitionistic fuzzy subalgebrasas a generalization of an (∊,∊˅q)-intuitionistic fuzzy subalgebrasin BEalgebras. Characterizations (∊,∊˅qk)-intuitionistic fuzzy subalgebrasare established. Finally, we show that the Cartesian product of (∊,∊˅qk)-intuitionistic fuzzy subalgebras is an (∊,∊˅qk)-intuitionistic fuzzy subalgebras.

We first give some useful characterizations of regular semigroups and right weakly regular semigroups by the properties of their bi-ideals, interior ideals, left ideals and right ideals. Based on these characterizations, we also characterize regular semigroups and right weakly regular semigroups by the properties of their (∈,∈ ∨qk)-fuzzy (generalized) bi-ideals, (∈,∈ ∨qk)-fuzzy interior ideals,...