The m-order connectivity index (G) m of a graph G is     1 2 1 1 2 1 ... ... 1 ( ) i i im m v v v i i i m d d d  G where 1 2 1 ... i i im d d d  runs over all paths of length m in G and i d denotes the degree of vertex i v . Also,        1 2 1 1 2 1 ... ... 1 ( ) i i im m v v v i i i ms d d d X G is its m-sum connectivity index. A dendrimer is an artificially manufactured or synth...

In this paper, we introduce a new generalization of weakly prime ideals called $I$-prime. Suppose $R$ is a commutative ring with identity and $I$ a fixed ideal of $R$. A proper ideal $P$ of $R$ is $I$-prime if for $a, b in R$ with $ab in P-IP$ implies either $a in P$ or $b in P$. We give some characterizations of $I$-prime ideals and study some of its properties.  Moreover, we give conditions  ...

Hypogonadotropic hypogonadism (HH) is an uncommon cause of male infertility and a congenital or secondary disorder characterized by delayed or absent sexual maturation. Congenital abnormalities leading to HH are usually the consequence of deficient GnRH secretion occurring either in isolation (idiopathic hypogonadotropic hypogonadism (IHH)), or in association with anosmia (Kallmann syndrome; KS...

The issue of relation, particularly that of human relation to God stands for one of the most significant concerns by all men of faith. To realize such a relation Martin Buber and Rumi, two globally acclaimed thinkers, have appropriated independent existences for both God and man to make them eligible for having a relation to each other, and they have brought this relationship to the fore in the...