Let G be a graph, each edge e of which is given a weight w(e). The shortest path problem is a path of minimum weight connecting two specified vertices a and b, and from it we have a pre-topology. Furthermore, we study the restriction and separators in pre-topology generated by the shortest path problems. Finally, we study the rate of liaison in pre-topology between two subgraphs. It is formally shown that the new distance measure is a metric

Among a variety of approaches introduced in the literature to establish duality theory, Fenchel duality was of great importance in convex analysis and optimization. In this paper we establish some conditions to obtain classical strong Fenchel duality for evenly convex optimization problems defined in infinite dimensional spaces. The objective function of the primal problem is a family of (possible) infinite even convex functions. The strong duality conditions we present are based on the consideration of the epigraphs of the c-conjugate of the dual objective functions and the ε-c-subdifferential of the primal objective functions.

In this paper, we deal with games of fuzzy payoffs problem while there is uncertainty in data. We use the trapezoidal membership function to transform the data into fuzzy numbers and utilize the three different ranking function algorithms. Then we compare between these three ranking algorithms by using trapezoidal fuzzy numbers for the decision maker to get the best gains

This paper presents the matrix completion problem for image denoising. Three problems based on matrix norm are performing: Spectral norm minimization problem (SNP), Nuclear norm minimization problem (NNP), and Weighted nuclear norm minimization problem (WNNP). In general, images representing by a matrix this matrix contains the information of the image, some information is irrelevant or unfavorable, so to overcome this unwanted information in the image matrix, information completion is used to comperes the matrix and remove this unwanted information. The unwanted information is handled by defining {0,1}-operator under some threshold. Applying this operator on a given ma

KE Sharquie, AA Noaimi, SY Mohsin, 2011 - Cited by 4

Objectives: The study aims to evaluate effectiveness of health education program on health care providers’ knowledge toward immunization of children at primary health care centers in Kirkuk city.

Methodology: A quasi –experimental study design two- group (pre-test, post-test 1 and post-test 2) conducted at primary health care centers in Kirkuk city during the period from 28 October 2019 to 10 August 2020. By collecting (50) samples divided into two groups, each one (25) participant as control & study group. The study group exposed to the education program only.

Results: Results showed a clear positive

This study designed to examine association between-174G/C polymorphism of interleukin-6 gene and phosphate, calcium, vitamin D₃, and parathyroid hormone levels in Iraqi patient with chronic kidney disease on maintenance hemodialysis. Seventy chronic renal failure patients (patients group) and 20 healthy subjects (control group) were genotyped for interleukin-6 polymorphism and genotyping was performed by conventional polymerase chain reaction-restriction fragment length polymorphism. No significant differences in phosphate levels were observed in patients and control with different interleukin-6 genotypes. Control had non-significant differences in calcium levels, while patients with GG and CG genotypes displayed significant e

استهدف البحث الحالي تعرف أنماط الشخصية الإنيكرام السائدة ضمن مركز الغريزة لدى طلبة قسم التربية الخاصة، وكذلك تعرف أنماط الشخصية الإنيكرام السائدة ضمن مركز الغريزة لدى طلبة قسم التربية الخاصة وفقاً لمتغير النوع (ذكور، إناث)، ولتحقيق هذه الأهداف تم اعتماد الصورة المختصرة لمقياس أنماط الشخصية الإنيكرام المُعد من قبل (ريسو-هيودسن، 1995)، ترجمة (الياسري، 2004)، (تقنين: السلطاني، 2007)، وقد تم التحقق من الخصائص السيكومت