6 is a normalization factor chosen to give QK 1⁄4 1 for an equilateral triangle. QK ranges from 1, for an equilateral triangle, to 1, for a totally flat triangle. D06CAF makes small perturbation to vertices (using a barycenter formula) in order to give a reasonably good value of QK for all neighbouring triangles. Some vertices may optionally be excluded from this process. For more details about...

We show that coating of decellularized extracellular matrix (DC-ECM) on substrate surfaces is an efficient way to generate a platform mimicking the native ECM environment. Moreover, the DC-ECM can be modified with a peptide (QK) mimicking vascular endothelial growth factor without apparently compromising its integrity. The modification was achieved through metabolic incorporation of a "clickabl...

Immobilization of growth factors to polymeric matrices has been a common strategy in the design of tissue engineering scaffolds to promote tissue regeneration, which requires complex cell signaling events with the surrounding matrix. However, the use of large protein growth factors in polymeric scaffolds is often plagued by immunogenicity, short in vivo half-lives, and reduced bioactivity. To a...

Applying the idea of soft set theory to lattice implication algebras, the novel concept of (implicative) filteristic soft lattice implication algebras which related to (implicative) filter(for short, (IF -)F -soft lattice implication algebras) are introduced. Basic properties of (IF -)F -soft lattice implication algebras are derived. Two kinds of fuzzy filters (i.e.(∈,∈ ∨qk)((∈,∈ ∨ qk))-fuzzy (...

Quaking viable (qk(v)) mice fail to properly compact myelin in their central nervous systems. Although the defect in the qk(v) mice involves a mutation affecting the expression of the alternatively spliced qk gene products, their roles in myelination are unknown. We show that the QKI RNA binding proteins regulate the nuclear export of MBP mRNAs. Disruption of the QKI nucleocytoplasmic equilibri...

A Qk(R ) -valued function is essentially a rule assigning k unordered and non necessarily distinct elements of R to each element of its domain set A ⊆ R . For a Qk(R) valued function f we construct a decomposition into k branches that naturally inherit the regularity properties of f . Next we prove that a measurable Qk(R ) -valued function admits a decomposition into k measurable branches. An e...

t immaru-A q-nary error-correcting code with N = qk code words of length n = k + r can have no greater miniium distance d than r + 1. The class of codes for which d = r + 1 is studied first in general, then with the restriction that the codes be linear. Examples and construction methods are given to show that these codes exist for a number of values of q, k, and r. Proof: Pick any k position. T...

The partition function Q(n), which denotes the number of partitions of a positive integer n into distinct parts, has been the subject of a dozen papers. In this paper, we study this kind of partition with the additional constraint that the parts are bounded by a fixed integer. We denote the number of partitions of an integer n into distinct parts, each ≤ k, by Qk(n). We find a sharp upper bound...

binayak et al in [1] proved a fixed point of generalized kannan type-mappings in generalized menger spaces. in this paper we extend gen- eralized kannan-type mappings in generalized fuzzy metric spaces. then we prove a fixed point theorem of this kind of mapping in generalized fuzzy metric spaces. finally we present an example of our main result.