Most real-life situations need some sort of approximation to fit mathematical models. The beauty of using topology in approximation is achieved via obtaining approximation for qualitative subgraphs without coding or using assumption. The aim of this paper is to apply near concepts in the -closure approximation spaces. The basic notions of near approximations are introduced and sufficiently illustrated. Near approximations are considered as mathematical tools to modify the approximations of graphs. Moreover, proved results, examples, and counterexamples are provided.

               Copulas are simply equivalent structures to joint distribution functions. Then, we propose modified structures that depend on classical probability space and concepts with respect to copulas. Copulas have been presented in equivalent probability measure forms to the classical forms in order to examine any possible modern probabilistic relations. A probability of events was demonstrated as elements of copulas instead of random variables with a knowledge that each probability of an event belongs to [0,1]. Also, some probabilistic constructions have been shown within independent, and conditional probability concepts. A Bay's probability relation and its pro

<p>The speech act of request is face-threatening by nature and an inappropriate request can cause offence to the hearer, particularly when s/he has higher authority (Economidou-Kogetsidis, 2011). E-mail is frequently used to facilitate communication between student and professor in Iraq. Iraqi EFL (English as a foreign language) learners face pragmatic difficulty in making proper requests to individuals of higher authority via e-mail. Some studies have been conducted on Arab EFL learners to uncover the pragmatic behaviour of these learners in real-life requests using elicited data. This research fills a gap in Inter-language Pragmatics (ILP) literature in that it investigates the use of academic request in three diverse imposi

In this work a fragile watermarking scheme is presented. This scheme is applied to digital color images in spatial domain. The image is divided into blocks, and each block has its authentication mark embedded in it, we would be able to insure which parts of the image are authentic and which parts have been modified. This authentication carries out without need to exist the original image. The results show the quality of the watermarked image is remaining very good and the watermark survived some type of unintended modification such as familiar compression software like WINRAR and ZIP

Staphylococci are common commensals in human beings, yet certain species are pathogenic. Staphylococcus aureus, particularly, is a very virulent human pathogen. The capacity of staphylococci to sense the density of bacterial cell, i.e., quorum, and thereafter respond via genetic modifications is attributable to one primary mechanism known as accessory gene regulator (Agr). Agr's extracellular signal is a peptide that is posttranslationally modified with a thiolactone molecule. Agr is in charge of the upregulation of numerous exotoxins and hydrolyzing enzymes, as well as the downregulation of many colonization determinants, under circumstances of high cell density. This modulation is critical for the scheduling synthesis of virul

Background: Bone cutter is widely used in the
Middle east area to cut the prepuce during circumcision.

Results :One hundred twenty one male neonates
were included in this study.The mean operative
time (MOT) was 6 minutes, mean time of
healing (MTH) was 5 days, 7 cases (5.9%)
developed early & late complications, 2 (1.7%)
had bleeding, 3 (2.5%) developed infection, 2
(1.7%) developed late complications in the form
of meatal stenosis.
Settings:Al-Yarmouk Teaching Hospital and a
private surgical clinic.
Aim of the study: To assess the safety of
circumcision using bone cutter.
Methods: Over 6 years period from Jan. 2000
till Dec. 2005, one hundred twenty one male
neonates were circumci

Background: Cervical lymph nodes are the most frequently enlarged and biopsied of all the peripheral lymph nodes and in most of the cases the enlargement results from benign infectious causes, however, the presence of cervical lymphadenopathy (LAP) requires accurate diagnosis to exclude more serious causes. The aim of this study was to analyze cases of Iraqi patients presenting with cervical LAP who underwent surgical lymph node biopsy to establish accurate diagnosis. Materials and Methods: This retrospective study included 25 patients who presented with cervical LAP for whom surgical biopsy was performed to establish a definitive diagnosis. The investigated data included the demographic and clinical parameters in addition to the final his