A graph G = (V,E) with p vertices and q edges is said to be a total mean cordial graph if there exists a function f : V (G) → {0, 1, 2} such that f(xy) = [(f(x)+f(y))/2] where x, y ∈ V (G), xy ∈ E(G), and the total number of 0, 1 and 2 are balanced. That is |evf (i) − evf (j)| ≤ 1, i, j ∈ {0, 1, 2} where evf (x) denotes the total number of vertices and edges labeled with x (x = 0, 1, 2). In thi...

in this paper, we derive rst some results on the shannon entropyin order statistics and their concomitants arising from a sequence of f(xi; yi): i = 1; 2; :::g independent and identically distributed (iid) random variablesfrom the bivariate normal distribution and extend our results to a collectionc(x; y ) = f(xr1:n; y[r1:n]); (xr2:n; y[r2:n]); :::; (xrk:n; y[rk:n])g of order sta-tistics and t...

Neuropeptide FF (NPFF) is known to be an endogenous opioid-modulating peptide. Nevertheless, very few researches focused on the interaction between NPFF and endogenous opioid peptides. In the present study, we have investigated the effects of NPFF system on the supraspinal antinociceptive effects induced by the endogenous µ-opioid receptor agonists, endomorphin-1 (EM-1) and endomorphin-2 (EM-2)...

Suppose $textbf{M}_{n}$ is the vector space of all $n$-by-$n$ real matrices, and let $mathbb{R}^{n}$ be the set of all $n$-by-$1$ real vectors. A matrix $Rin textbf{M}_{n}$ is said to be $textit{row substochastic}$ if it has nonnegative entries and each row sum is at most $1$. For $x$, $y in mathbb{R}^{n}$, it is said that $x$ is $textit{sut-majorized}$ by $y$ (denoted by $ xprec_{sut} y$) if t...

In the title compound (kokosanolide B), C(30)H(48)O(3), the hexa-hydro- and octa-hydro-naphthalen-2-one ring systems are connected through an ethyl-ene fragment, with a C-CH(2)-CH(2)-C torsion angle of 176.2 (2)°. The cyclo-hexene ring adopts a half-chair conformation, while the other six-membered rings adopt distorted chair conformations. In the crystal, adjacent mol-ecules are linked into a z...

Professionele ontnugtering by die studentverpleegkundige, wat ’n belangrike rede vir beroepsverlating is, was die onderwerp van hierdie navorsing onder studente in die Oos-Kaap. Een van die belangrikste redes vir professionele ont­ nugtering is gebrekkige sosialisering van die student in die beroep. Die voigende faktore wat met professionalisering en sosialisering verband hou is ontleed: die in...

The title compound, C30H48O2, contains a fused four-ring triterpenoid system. In the mol-ecule, the two cyclo-hexane rings adopt a chair conformation and a twist boat conformation, respectively, the central cyclo-hexene ring adopts a half-chair conformation whereas the five membered ring adopts an envelope conformation. In the crystal, O-H⋯O hydrogen bonds between the hy-droxy and carbonyl grou...

‎Suppose $n$ is a fixed positive integer‎. ‎We introduce the relative n-th non-commuting graph $Gamma^{n} _{H,G}$‎, ‎associated to the non-abelian subgroup $H$ of group $G$‎. ‎The vertex set is $Gsetminus C^n_{H,G}$ in which $C^n_{H,G} = {xin G‎ : ‎[x,y^{n}]=1 mbox{~and~} [x^{n},y]=1mbox{~for~all~} yin H}$‎. ‎Moreover‎, ‎${x,y}$ is an edge if $x$ or $y$ belong to $H$ and $xy^{n}eq y^{n}x$ or $x...