In this paper, Nordhaus-Gaddum type relations on open support independence number of some derived graphs of path related graphs under addition and multiplication are studied.

مقدمة
تدور الدراسة في علم الاقتصاد المنزلي حول احتیاجات الانسان الضروریة لاستمرار الحیاة ومواقف في محیط
الاسرة وتفاعل مع ظروف البیئة المحیطة بھ .والتي تكون دائمة التغییر لذلك یمكن تعریف علوم وفنون الاقتصاد
المنزلي وفنونھ انھا عبارة عن مجموعة منظمة من المعارف والعلوم تتركز في محور الاسرة والمنزل حیث ینمو
ویتطور الانسان بالعلاقات الانسانیة والنواحي الاقتصادیة والاجتماعیة من جھة والنواحي العلمیة وا

Background: Orthodontic tooth movement is characterized by tissue reactions, which consist of an inflammatory response in periodontal ligament and followed by bone remodeling in the periodontium depending on the forces applied. These processes trigger the secretion of various proteins and enzymes into the saliva.The purpose of this study was to evaluate the activity of alkaline phosphatase (ALP) in saliva during orthodontic tooth movement using different magnitude of continuous orthodontic forces. Materials and Methods: Thirty orthodontic patients (12 males and 18 females) aged 17-23 years with class II division I malocclusion all requiring bilateral maxillary first premolar extractions were randomly divided into three groups according to t

The study consisted in the development and use of a practical method to detect and
monitor, analyze and produce maps of changes in land use and land cover in the district of
Mahmudiya in Baghdad during the period 1990-2007 using the applications of remote sensing
techniques and with the assisstant of geographic information systems (GIS),as a valuable
contribution to land degradation studies.
This study is based maiuly on the processing on two subsets of landsat5 TM images picked up
in August 1990 and 2007 respectively in order to facilitate comparision and were thengeometrically and radiometrcally calibrated ,to used for digital classification purposes using
maximum liklihoods classification or six spectral bands of

The research tackles the potential challenged faced the translator when dealing with the literal translation of nowadays political terms in media. Despite the universal complexity of translating political jargon, adopting literal translation introduces an added layer of intricacy. The primary aim of literal translation is to maintain faithfulness to the original text, irrespective of whether it is in English or Arabic. However, this method presents several challenges within the linguistic and cultural dimensions. Drawing upon scholarly sources, this article expounds upon the multifaceted issues that emerge from the verbatim translation of political terms from English into Arabic. These problems include political culture, language differenc

Future wireless systems aim to provide higher transmission data rates, improved spectral efficiency and greater capacity. In this paper a spectral efficient two dimensional (2-D) parallel code division multiple access (CDMA) system is proposed for generating and transmitting (2-D CDMA) symbols through 2-D Inter-Symbol Interference (ISI) channel to increase the transmission speed. The 3D-Hadamard matrix is used to generate the 2-D spreading codes required to spread the two-dimensional data for each user row wise and column wise. The quadrature amplitude modulation (QAM) is used as a data mapping technique due to the increased spectral efficiency offered. The new structure simulated using MATLAB and a comparison of performance for ser

Background: Obesity tends to appear in modern societies and constitutes a significant public health problem with an increased risk of cardiovascular diseases.

Objective: This study aims to determine the agreement between actual and perceived body image in the general population.

Methods: A descriptive cross-sectional study design was conducted with a sample size of 300. The data were collected from eight major populated areas of Northern district of Karachi Sindh with a period of six months (10^th January 2020 to 21^st June 2020). The Figure rating questionnaire scale (FRS) was applied to collect the demographic data and perception about body weight. Body mass index (BMI) used for ass