In a connected graph , the distance function between each pair of two vertices from a set vertex  is the shortest distance between them and the vertex degree  denoted by  is the number of edges which are incident to the vertex  The Schultz and modified Schultz polynomials of  are have defined as:

 respectively, where the summations are taken over all unordered pairs of distinct vertices in  and  is the distance between  and  in  The general forms of Schultz and modified Schultz polynomials shall be found and indices of the edge – identification chain and ring – square graphs in the present work.

Perhaps one of the most pillars in building communities, and to achieve consistency between its members, is the volunteer work, he is a humanitarian exercise been closely associated with all the meanings of goodness and righteousness since ancient times, but it differs in size and shape and motivations and trends from one community to another, and from time to time; while at least in the stages of calm and stability, it increases in disasters and calamities and wars times, and perhaps (the popular crowd) is the best proof of that, they answered a call reference, and volunteered to defend their land and their holy places. In terms of form it may be donating money or effort or profession or otherwise, either in terms of the trend may be di

The experimental proton resonance data for the reaction P+48Ti have been used to calculate and evaluate the level density by employed the Gaussian Orthogonal Ensemble, GOE version of RMT, Constant Temperature, CT and Back Shifted Fermi Gas, BSFG models at certain spin-parity and at different proton energies. The results of GOE model are found in agreement with other, while the level density calculated using the BSFG Model showed less values with spin dependence more than parity, due the limitation in the parameters (level density parameter, a, Energy shift parameter, E1and spin cut off parameter, σc). Also, in the CT Model the level density results depend mainly on two parameters (T and ground state back shift energy, E0), which are app

The determination of captopril (CAP) using a new continuous flow injection analysis (CFIA) method was given in this work CAP in its pure state and some of its pharmaceutical preparations. The technique can be described as simple, fast, sensitive, easy to operate, and low-cost. The CAP reacted with ammonium ceric(IV) sulfate (ACS)2(NH₄ )₂SO₄Ce(SO₄)₂. 3 H₂O in an acidic medium and the reaction led to the formation of a white, slightly yellowish precipitate. The formed precipitate was studied using Ayah 6S×1-ST-2D Solar cell-CFI Analyzer, a through the reflection of accident light on the surfaces of the precipitate particles at (0-180⁰), expressed as the response

Bacterial vaginosis (BV) is one of the most common genital infections among women in the childbearing age. Many novel, fastidious and uncultivated bacterial species are related with BV. These are called bacterial vaginosis associated bacteria (BVAB), present in trace amount and have a significant role in the infection. A total of 80 vaginal swabs were obtained from 80 pregnant and non-pregnant women. Samples were collected from different hospitals in Baghdad city and Al-Kut city.
Clinically, 60 sample among 80 were gave positive results depending on Nugent score and Amsel criteria ,the Bacteriologicall test showed the percentages of gram negative bacteria (E.coli ,K.pneumoniae, P.mirabilis, Ps.aeruginosaand A. baumanniiwere) were (38.

Background: Semen contamination is a detrimental factor in decreasing fertility. Seasonal changes may affect the contamination, too. Objectives: This study was designed to detect semen contamination in ovine and caprine during different seasons. Methods: Six fully mature male sheep and goats were subjected to electro-ejaculator collection twice monthly from February 1, 2022, to January 31, 2023 (Spring, February 1, 2022-April 30, 2022; Summer, May 1, 2022, July 31, 2022; Autumn August 1, 2022, October 31, 2022; Winter November 1, 2022, January 31, 2023), for studying the seasonal effect. A total of 288 semen samples were collected from both species (36 samples from each per season). All samples were subjected to bacterial isolatio

Leaf samples of Lawsonia inermis were collected from Basrah city, South of Iraq to examine their antimicrobial activity . The effects of water and chloroform crude extracts of the leaves in different concentrations were obtained and bioassayed in vitro for its bioactivity to inhibit the growth of six types of bacteria . The extract of water was clearly superior for all bacteria especially the bacteria Staphlylococcus aureus (inhibition zone was 21mm in concentration 70mg/ml) from gram positive bacteria, and Klebsiella pneumoniae (inhibition zone was 20mm in the same concentration)  , and the growth of all bacteria was inhibited to varying degrees by increasing the concentration of the henna leaves and are commonly known to possess a

The main aim of the current research is to focus the light on some bacterial contamination on cracked eggshell and egg content plus studying the sensitivity of these bacterial isolates to antibiotics. For this purpose, a total of 50 eggs were collected from the markets in Baghdad city (Iraq) and examined for bacterial isolation from cracked eggshells and from the egg contents. The bacterial isolates were cultured and purified then transferred to a specific media to study its sensitivity against antibiotics. The results revealed that bacteria isolated from both cracked eggshells (46%) and egg contents (44%). The bacteria isolated include E. coli, Staphylococcus, Enterococcus faecalis, Enterobacter and Pseudomonas. The results of antibiotic s

    In the presence of multi-collinearity problem, the parameter estimation method based on the ordinary least squares procedure is unsatisfactory. In 1970, Hoerl and Kennard insert analternative method labeled as estimator of ridge regression.

In such estimator, ridge parameter plays an important role in estimation. Various methods were proposed by many statisticians to select the biasing constant (ridge parameter). Another popular method that is used to deal with the multi-collinearity problem is the principal component method. In this paper,we employ the simulation technique to compare the performance of principal component estimator with some types of ordinary ridge regression estimators based on the value of t