in this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted dirichlet spaces or bloch type spaces to $q_k$ type spaces.

We studied whether there is an association between the single nucleotide polymorphism c.533A>C (K121Q) in the glycoprotein PC-1 gene and features of the metabolic syndrome in case-control and intrafamily association studies in 922 subjects from Finland and Sweden. No difference was observed in the Q allele frequency between control subjects and type 2 diabetic subjects (12.9 vs. 15.1%). The QK ...

Microvascularization of tissue engineered constructs was achieved by utilizing a VEGF-mimicking peptide, QK, covalently bound to a poly(ethylene glycol) hydrogel matrix. The 15-amino acid peptide, developed by D'Andrea et al., was modified with a PEG-succinimidyl ester linker on the N-terminus of the peptide, then photocrosslinked onto the surface or throughout PEG hydrogels. PEGylation of the ...

BACKGROUND Purified from the supernatant of Bacillus subtilis QK02 culture broth, Subtilisin QK-2 is a type of effective thrombolytic reagent that has great exploitable potential. However, the unbearable flavor that occurs with fermentation and the complicated methods that are required to obtain pure products limit the application of this enzyme. Lactic acid bacteria (LAB)-based delivery vehicl...

Proof Let C be a (n, k, d)q code. Then it has q k codewords of length n. Project C to a k − 1 dimensional space by only considering the first k− 1 entries of each code words (see Figure 1). There are at most qk−1 possible strings of length k − 1 in Fk−1 q . However, we have in total qk code words so there must exist at least two codewords with the same projections. Thus the distance between the...

In this paper, we study the nonlinear second-order impulsive qk-difference equations with Sturm-Liouville type, in which nonlinear team and impulsive teams are dependent on first-order qk-derivatives. We obtain the existence and uniqueness results of solutions for the problem by Banach’s contraction mapping principle and Schaefer’s fixed point theorems. Finally, we give two examples to demonstr...

Some improved bounds on the number of directions not determined by a point set in the affine space AG(k, q) are presented. More precisely, if there are more than p(q−1) directions not determined by a set of qk−1 points S then every hyperplane meets S in 0 modulo p points. This bound is shown to be tight in the case p = q and when q = p sets of qk−1 points that do not meet every hyperplane in 0 ...

Let S be an ordered semigroup. In this paper we first introduce the concepts of (∈,∈ ∨qk)-fuzzy ideals, (∈,∈ ∨qk)-fuzzy bi-ideals and (∈,∈ ∨qk)-fuzzy generalized bi-ideals of an ordered semigroup S by the ordered fuzzy points of S, and investigate their related properties. Furthermore, characterizations of regular ordered semigroups by the properties of (∈,∈ ∨qk)-fuzzy left ideals, (∈,∈ ∨qk)-fu...

Abstract: In this paper we define the concept of (∈, ∈ ∨qk)-intuitionistic fuzzy h-ideals, (∈, ∈ ∨qk)-intuitionistic fuzzy h-bi-ideals, (∈, ∈ ∨qk) ∗-intuitionistic fuzzy h-quasi-ideals of hemiring. And also characterized h-hemiregular and h-intra-hemiregular hemiring by the properties of these (∈, ∈ ∨qk)-intuitionistic fuzzy h-ideals, (∈, ∈ ∨qk)-intuitionistic fuzzy h-bi-ideals, and (∈, ∈ ∨qk)i...

We prove the optimal order of convergence for some two-dimensional finite element methods for the Stokes equations. First we consider methods of the Taylor-Hood type: the triangular Pi P2 element and the Qk Qk-\ > k ^ 2 , family of quadrilateral elements. Then we introduce two new low-order methods with piecewise constant approximations for the pressure. The analysis is performed using our macr...