let $g$ be a graph and let $m_{ij}(g)$, $i,jge 1$, be the number of edges $uv$ of $g$ such that ${d_v(g), d_u(g)} = {i,j}$. the {em $m$-polynomial} of $g$ is introduced with $displaystyle{m(g;x,y) = sum_{ile j} m_{ij}(g)x^iy^j}$. it is shown that degree-based topological indices can be routinely computed from the polynomial, thus reducing the problem of their determination in each particular ca...

We investigate in this work a local version of the theory of fractal strings and associated geometric zeta functions. Such a generalization allows to describe the asymptotic behaviour of a “fractal” set in the neighborhood of any of its points. We give basic properties and several examples illustrating the possible range of situations concerning in particular the evolution of the local complex ...

The entomopathogenic nematode species Steinernema feltiae and Heterorhabditis bacteriophora were compared for survival and infectivity of infective juveniles (IJ) collected with a standard White trap (i.e., emerging from hosts and accumulating in water) and later applied to sand (treatment A) to IJ allowed to emerge from hosts into sand (treatment C). Percentage IJ survival and infectivity was ...

We quantize the interaction of gravity with Yang-Mills and spinor fields, hence offering a quantum theory incorporating all four fundamental forces nature. Let us\ann{as} abbreviate spatial Hamilton functions Standard Model by $H_{SM}$ function $H_G$. Working in fiber bundle $E$ base space $\socc=\R[n]$, where elements are Riemannian metrics, we can express form $H_G+H_{SM}=H_G+t^{-\frac23}\til...

This study was carried out to investigate the isolation and characterization of lactic acid bacteria (LAB) from naturally fermented sauce-type kimchi. Sauce-type kimchi was prepared with fresh, chopped ingredients (Korean cabbage, radish, garlic, ginger, green onion, and red pepper). The two isolated bacteria from sauce-type kimchi were identified as Pediococcus pentosaceus and Lactobacillus br...

We study Wigner ensembles of symmetric random matrices A = (a ij) i; j = 1; : : : ; n with matrix elements a ij ; i j being independent symmetrically distributed random variables a ji = ij n 1 2 : We assume that Var ij = 1 4 , for i < j, Var ii 6const and that all higher moments of ij also exist and grow not faster than the Gaussian ones. Under formulated conditions we prove the central limit t...

A formulation to include the e ects of wall proximity in a second moment closure model that utilizes a tensor representation for the redistribution terms in the Reynolds stress equations is presented The wall proximity e ects are modeled through an elliptic relaxation process of the tensor expansion coef cients that properly accounts for both correlation length and time scales as the wall is ap...

Energy metabolism and its relation to survival of the infective juveniles (IJ) of S. carpocapsae under anaerobic and oxygen-deficient conditions were studied by monitoring changes in survival rate, levels of key energy reserve materials, oxygen consumption, and respiratory quotient (RQ). The effects of various factors on the survival of IJ under anaerobic conditions were also investigated. Unde...

We consider a general second order uniformly elliptic diierential operator L and also the set of all open sets (not neccessarily smooth) in the unit ball of I R n. We deene a metric d in this set (up to an equivalence relation) that makes the space ((= ; d) a complete metric space. We show that the principal eigenvalue and eigenfunction of L are continuous with the metric d. Similar results are...