This paper is concerned with introducing an explicit expression for orthogonal Boubaker polynomial functions with some important properties. Taking advantage of the interesting properties of Boubaker polynomials, the definition of Boubaker wavelets on interval [0,1) is achieved. These basic functions are orthonormal and have compact support. Wavelets have many advantages and applications in the theoretical and applied fields, and they are applied with the orthogonal polynomials to propose a new method for treating several problems in sciences, and engineering that is wavelet method, which is computationally more attractive in the various fields. A novel property of Boubaker wavelet function derivative in terms of Boubaker wavelet themselves is also obtained. This Boubaker wavelet is utilized along with a collocation method to obtain an approximate numerical solution of singular linear type of Lane-Emden equations. Lane-Emden equations describe several important phenomena in mathematical science and astrophysics such as thermal explosions and stellar structure. It is one of the cases of singular initial value problem in the form of second order nonlinear ordinary differential equation. The suggested method converts Lane-Emden equation into a system of linear differential equations, which can be performed easily on computer. Consequently, the numerical solution concurs with the exact solution even with a small number of Boubaker wavelets used in estimation. An estimation of error bound for the present method is also proved in this work. Three examples of Lane-Emden type equations are included to demonstrate the applicability of the proposed method. The exact known solutions against the obtained approximate results are illustrated in figures for comparison
Investigating the strength and the relationship between the Self-organized learning strategies and self-competence among talented students was the aim of this study. To do this, the researcher employed the correlation descriptive approach, whereby a sample of (120) male and female student were selected from various Iraqi cities for the academic year 2015-2016. the researcher setup two scales based on the previous studies: one to measure the Self-organized learning strategies which consist of (47) item and the other to measure the self-competence that composed of (50) item. Both of these scales were applied on the targeted sample to collect the required data
Research included the preparation of medicinal substances ( propyl thiouracil). Which is the rule thiourea and related compounds a fundamental rule in preparation fall within the range of drugs of anti-thyroid activity (Antithyroid Drug ) , this drug prevents the thyroid hormone production against excessive activity of the thyroid gland .That the formation of iodine is important for their impact on hormone secretion thyroid , the two types, thyroxin or T4 is the main hormone ,Triiodothyronine or T3, and these hormones released by hormone regulator called (TSH) . Article attend thiourea treatment with an alcohol- soluble sodium and added to the interaction rule b- oxo ester after adjusting the PH=4 output ( propylthiouracil ) the
... Show MoreThe term of ability (Al qoudra) is of the common terms which used by speech scientists to relate to one of the important verbal issues which called “Fate and destiny”. the issues of fate and destiny has been raised by Muslims since the dawn of Islam and It was researched among speech scientists, there are many opinions about this issues as the man can do or leave anything or he forced to do something that mean he hasn’t ability.
Also the term was used by jurists and they mention to the ability conditions (Assigning the Divine) and when this conditions are not available that means the man is not commissioning, the conditions are Mind, puberty and other conditions which mentioned in the books of jurisp
... Show MoreIn education, a virtual learning environment (VLE) is a platform used in teaching and learning to give access to educational online content. This can be via computers or mobile technology. This study aims to identify the relationship between VLE and Iraqi EFL Academic Students` Achievement. The study design is a descriptive correlational one, the instruments are used as an achievement test, and the Distance Education Learning Environments Survey (DELES) was distributed by email addresses to develop settings for investigating how virtual environments affect students' achievement in online courses. The sample of the study was selected in a randomized method in this study to examine the relationship between the (100) students enrolled in the
... Show MoreA vital instrument to foster the long-term goal of high-quality education has developed in the form of digital technologies. The educational system has been found to be significantly impacted by these technologies. The recent COVID- Pandemic has strengthened the legitimacy of using digital tools in education. The entire educational system has undergone a paradigm shift as a result of these digital technologies. Along with sharing knowledge, it also serves as a mentor, an assessor, and a co-creator of information. Students' lives have been simpler as a result of educational technology advancements. Nowadays, students prepare presentations and projects utilizing a variety of software and tools rather than pen and paper. The weig
... Show MoreA submoduleA of amodule M is said to be strongly pure , if for each finite subset {ai} in A , (equivalently, for each a ?A) there exists ahomomorphism f : M ?A such that f(ai) = ai, ?i(f(a)=a).A module M is said to be strongly F–regular if each submodule of M is strongly pure .The main purpose of this paper is to develop the properties of strongly F–regular modules and study modules with the property that the intersection of any two strongly pure submodules is strongly pure .
Background: Pharmacy internship programmes are driven by most developed countries to outweigh the ongoing growth in the pharmacy career which encourages pharmacists to play a significant role as healthcare providers. Objectives: This study examines pharmacy students' perception, satisfaction, challenges, and limitations with the internship curriculum. Method: A cross-sectional study was conducted using an online survey with different elements to examine students' perceptions of various aspects. Result: Most students reported a positive impression regarding their internships, however, they were less satisfied with the allowance for filling prescriptions and compounding also, the college's follow-up was inadequate. F
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