This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers  which is defined by   has a lower bound in terms of . This bound is more sharper than Mangenstern bound when  Further general results are given for the existence of -practical numbers, by proving that the interval contains a -practical for all

public relations at Al-Shuhadaa Establishment: an analytical study of social networking sites and the website) came to know and monitor the contents of social networking sites for Al-Shuhadaa Establishment, the research problem was represented by the main question: (What is the effectiveness of social networking sites and the website of Al-Shuhadaa Establishment) ,This research was classified within the descriptive research, and the two researchers adopted the survey method in order to achieve the objectives of the research, and they used the tool: content analysis as a research tool, the analysis of the contents included the official website of the establishment (Instagram page), and other social networking sites that Al-Shuhadaa Establish

The field study of this paper focused on the motives for lawyers to use the website
of the Supreme Judicial Council, and the gratifications achieved as a result of its use.
This study sought to achieve a number of goals, including:
1. Monitoring the patterns of lawyers’ use of the website of the Supreme Judicial Council.
2. Determining the forms that lawyers use to interact on the website of the Supreme
Judicial Council.
This study is a descriptive in kind as the researcher relied on the ‘survey method’ in
its study of the external audience (lawyers) using the questionnaire and scale toolThe questionnaire was distributed among a deliberately chosen sample, consisting of
(160) lawyers who used the website of

The aim of the research is to shed light on identifying the extent of the university professor's competencies and their roles in managing and training participants in e-training workshops as a pedagogical point view. The research sample consisted of a group of (30) university professors (lecturers) in the training workshops, in scientific,humanitarian and social disciplines, including (12) a university professor (holding a trainer certificate), , the research methodology is descriptive, and the community is a group of trained participants. (115) participated in (40) e-training workshops organized by the Center for Continuing Education at the University of Baghdad (and the selection of workshops within the researcher's specialization in the

A reliable and environmental analytical method was developed for the direct determination of tetracycline using flow injection analysis (FIA) and batch procedures with spectrophotometric detection. The developed method is based on the reaction between a chromogenic reagent (vanadium (III) solution) and tetracycline at room temperature and in a neutral medium, resulting in the formation of an intense brown product that shows maximum absorption at 395 nm. The analytical conditions were improved by the application of experimental design. The proposed method was successfully used to analyze samples of commercial medications and verified throughout the concentration ranges of 25–250 and 3–25 µg/mL for both FIA and batch procedures, respecti

Recently, that there has been a decline in the levels of female players for this event in recent years compared to developments in the world, as this activity depends to achieve the highest level of performance on the physical capabilities and physiological indicators of the player who It is reflected in the achievement, which results in the loss of time for Iraqi female runners compared to the world champions in the (100) meter hurdles competition, which reflects on the level of achievement. The two researchers used the experimental approach in addressing the research problem, and the experimental design used the method of the two equal groups, the two experiments with the pre and post-tests. Female runner and second experimental group (4)

Objectives: The study aims to evaluate patients’ performance toward insulin injection after training program to
identify the variation in skill of patients in insulin injection technique with regard to some variable (i.e.
educational level and duration of insulin injection.
Methodology: A quasi experimental study has been conducted on diabetic patients.
An observational checklist had been prepared which consisted of 4 main areas with 37 sub-items, which are
syringe preparation for injection, insulin drawing; skin preparation for injection and insulin injection. Each of the
sub-items has 2 options yes or no. One score for positive answer and zero for no.
The sample of the study consisted of (n =30) males and females

Stereo lithography (SLA) three-dimensional (3D) printing process is a type of additive manufacturing techniques that uses digital models from computer-aided design to automatically produce customized 3D objects. Around 30 years, it has been widely utilized in the manufacturing, design, engineering, industrial sectors and its applications in dentistry for manufacturing prosthodontics are very important. The stereo lithography technology is highly regarded because it can produce items with excellent precision especially when selecting the best process parameters. This review article offers a useful and scientific summary of SLA three-dimensional printing technology and its brief history. The specific type of 3D printers which is SLA t

Stereo lithography (SLA) three-dimensional (3D) printing process is a type of additive manufacturing techniques that uses digital models from computer-aided design to automatically produce customized 3D objects. Around 30 years, it has been widely utilized in the manufacturing, design, engineering, industrial sectors and its applications in dentistry for manufacturing prosthodontics are very important. The stereo lithography technology is highly regarded because it can produce items with excellent precision especially when selecting the best process parameters. This review article offers a useful and scientific summary of SLA three-dimensional printing technology and its brief history. The specific type of 3D printers which is SLA type b

A mathematical method with a new algorithm with the aid of Matlab language is proposed to compute the linear equivalence (or the recursion length) of the pseudo-random key-stream periodic sequences using Fourier transform. The proposed method enables the computation of the linear equivalence to determine the degree of the complexity of any binary or real periodic sequences produced from linear or nonlinear key-stream generators. The procedure can be used with comparatively greater computational ease and efficiency. The results of this algorithm are compared with Berlekamp-Massey (BM) method and good results are obtained where the results of the Fourier transform are more accurate than those of (BM) method for computing the linear equivalenc