The mixed metric dimension $$\textrm{mdim}(G)$$ of a graph G is the cardinality smallest set vertices that (metrically) resolves each pair elements from $$V(G)\cup E(G)$$ . We say max-mdim if $$\textrm{mdim}(G) = n(G)$$ It proved with $$n(G)\ge 7$$ contains vertex degree at least 5. Using strong product graphs and amalgamations, large families are constructed. one universal determined. cut boun...

A Wilf–Zeilberger pair (F,G) in the discrete case satisfies the equation F(n+ 1,k)−F(n,k) = G(n,k+ 1)−G(n,k). We present a structural description of all possible rational Wilf–Zeilberger pairs and their continuous and mixed analogues.

We recently reported that the nonclassical HLA class I molecule HLA-G was expressed in the endomyocardial biopsies and sera of 16% of heart transplant patients studied. The aim of the present report is to identify cells that may be responsible for HLA-G protein expression during the allogeneic reaction. Carrying out mixed lymphocyte cultures in which the responder cell population was depleted e...

Monomeric actin (G-actin) was purified using protocol adapted from Ref.[1] from rabbit skeletal muscle acetone powder (Pel Freeze Biologicals, Product code: 41008-3). Small aliquots of actin solution were drop frozen in liquid nitrogen, and stored at -80 oC. For each experiment fresh aliquots of frozen actin were thawed and used. FLN was purified from chicken gizzard and aliquots were also stor...

Detection and genotyping of group A rotavirus strains from stool samples in young children with diarrhea in Indonesia were examined using reverse transcription-nested multiplex PCR. Of 421 stool specimens, 257 samples was rotavirus positive. G1 type was the most common G-type (54%), followed by G2 (6%) and G9 (3%). P[8] was the most common P-type (39%), followed by P[6] (19%), P[4] (10%) and P[...

G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

Solution to the optimal stopping problem V (x) = sup τ Eeg(x+Xτ ) is given, where X = {Xt}t≥0 is a Lévy process, τ is an arbitrary stopping time, δ ≥ 0 is a discount rate, and the reward function g takes the form gc(x) = (x−K) or gp(x) = (K−x) Results, interpreted as option prices of perpetual options in Bachelier’s model are expressed in terms of the distribution of the overall supremum in cas...

Objective:  Anchomanes difformis is a member of the plant family Araceae which is used as a diuretic but also has other medicinal applications. This study investigates the dietary effects of A. difformis on the kidneys of adult wistar rats. Materials and Methods: Sixteen rats were used and were weighed, before and after the experiment. All rats were randomly divided into four groups. All groups...

A direction-length framework is a pair (G, p), where G = (V ;D,L) is a ‘mixed’ graph whose edges are labeled as ‘direction’ or ‘length’ edges, and p is a map from V to R for some d. The label of an edge uv represents a direction or length constraint between p(u) and p(v). Let G be obtained from G by adding, for each length edge e of G, a direction edge with the same end vertices as e. We show t...