-convex sets and -convex functions, which are considered as an important class of generalized convex sets and convex functions, have been introduced and studied by Youness [5] and other researchers. This class has recently extended, by Youness, to strongly -convex sets and strongly -convex functions. In these generalized classes, the definitions of the classical convex sets and convex functions are relaxed and introduced with respect to a mapping . In this paper, new properties of strongly -convex sets are presented. We define strongly -convex hull, strongly -convex cone, and strongly -convex cone hull and we proof some of their properties.  Some examples to illustrate the aforementioned concepts and to cl

In this paper we prove the boundedness of the solutions and their derivatives of the second order ordinary differential equation x ?+f(x) x ?+g(x)=u(t), under certain conditions on f,g and u. Our results are generalization of those given in [1].

In this study Oscillatoria princeps were isolated ،purified and identification
from water canal in Almustansiriah University . BG-11 culture media was used for
their cultivation in suitable laboratory conditions (25c°, 200μE/mP
2
P/sec) for 16:8 hrs.
Light: dark. Each culture was harvested at the end of exponential phase .Organic
solvents used for extraction was Chloroform: methanol at 2:1 to extract the crude
active Intracellular and Extracellular substances, and evaporated down to dryness.
Antibacterial activity of these different extracts were evaluated against 10 strains of
gram positive bacteria and gram negative bacteria, Agar diffusion method was used
in this evaluation. Results showed that the int

In this paper, we propose new types of non-convex functions called strongly --vex functions and semi strongly --vex functions. We study some properties of these proposed functions. As an application of these functions in optimization problems, we discuss some optimality properties of the generalized nonlinear optimization problem for which we use, as an objective function, strongly --vex function and semi strongly --vex function.

    The aim of this study was the isolation and characterization of Klebsiella pneumonia from 160 urine samples of patients hospitalized in children hospital in AL-Ramadi Proveng during October 2006 to May 2008. Also determination of the susceptibility of K. pneumoniae against a number of antibiotics to explain resistance mechanism for these antibiotics by using interpretative reading to avoid using it in treatment.           Forty two isolates were detected as K. pneumoniae with resistance to a number of antibiotics . These isolates were  tested to determine their sensitivities to a wide number of antibiotics which included  β-lactum group and aminoglicosides

This research includes a study of Methylenetetrahydrofolate reductase gene’s allele 677C?T and its correlation with oxidative stress and their impact on female infertility. Fifty infertile women with the range age (23-42) years and twenty five fertile women with the range age (22-39) years as control group living in Erbil city were selected. The serum level of Malondialdehyde (MDA), superoxide dismutase (SOD), prolactin hormone (PRL), Luteinizing hormone (LH), Thyroid stimulating hormone (TSH), Triiodothyronine hormone (T3), and Thyroxine hormone (T4) were measured, also a body mass index (BMI) was calculated. A restriction enzyme (Hinf1) was used to improve the mutation in DNA bands of infertile women. The results showed significant inc

A new results for fusion reactivity and slowing-down energy distribution functions for controlled thermonuclear fusion reactions of the hydrogen isotopes are achieved to reach promising results in calculating the factors that covered the design and construction of a given fusion system or reactor. They are strongly depending upon their operating fuels, the reaction rate, which in turn, reflects the physical behavior of all other parameters characterization of the system design

Spin coating technique has been applied in this work to prepared Xerogel films doped with Rhodamine 6G laser dyes. The solid host of laser dye modifies its spectroscopic properties with respect to liquid host. During the spin coating process the dye molecules suffer from changing their environment. The effects of three parameters were studied here: the spinning speed, multilayer coating and formaldehyde addition