In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (LFIE) (as special cases). The new technique depends on approximating the solution to a polynomial of degree and therefore reducing the problem to a linear programming problem(LPP), which will be solved to find the approximate solution of LVFIE. Moreover, quadrature methods including trapezoidal rule (TR), Simpson 1/3 rule (SR), Boole rule (BR), and Romberg integration formula (RI) are used to approximate the integrals that exist in LVFIE. Also, a comparison between those methods is produced. Finally, for more explanation, an algorithm is proposed and applied for testing examples to illustrate the effectiveness of the new technique.
A Classical allusion refers to myths in ancient Roman and Greek works of literature. Christopher Marlowe (1564-1593), utilized mythological allusions in The Tragical History of Doctor Faustus (1588- 1592) to create a connection between ideas. Dr. Faustus wanted the infinite. He sold his soul to the devil to gain it. He rejected theology and embraced magic and mythology that epitomized pseudo-divinity. Classical mythology invites moral and theological discussion. It intensifies the aesthetic purpose and the spiritual evaluation of Dr. Faustus‟s ambition
Of the many functions that are performed by the drilling fluid, the most important is to transport cuttings from the bit up the annulus to the surface. Various drilling fluid have been widely used in the oil industry to improve lifting capacity. In this study, three mud type have been used which they are, oil base mud, X-anthan polymer and a mixture of CMC and bentonite ,by using Carrying Capacity Index calculation (CCI) , the Xanthan gave good values of CCI than other studied drilling fluid. By using Sifferman chart and field data from well in south of Iraq and API equation to find cutting concentration in the annulus, The results showed that the used of thick mud increase the lifting capacity and decrease volumetric drill c
... Show MoreBackground: Chronic periodontitis is an inflammatory disease of tissues supporting the teeth. Salivary compositions have been most intensely studied as a potential marker for periodontal disease. In this study, analysis of saliva provides a simple and non-invasive method of evaluating the role of salivary IgA (s-IgA) levels in periodontal disease by detecting the level of (s-IgA) in patients with chronic periodontitis smokers and non smokers patients and correlate the mean (s-IgA) levels with clinical periodontal parameters Plaque index (PLI) gingival index (GI), probing pocket depth (PPD) and clinical attachment level (CAL). Materials and Methods: The study samples consists of (15) patients with chronic periodontitis who were non smokers (
... Show MoreThis study aims at identifying the correlation between digital transformation and knowledge building in educational institutions, as well as finding the influence relationship between digital transformation and knowledge building in educational institutions and knowing the dimensions of digital transformation that have the most impact in improving the level of knowledge building, and by adopting the methodological descriptive analysis method in the Ministry of Education. Education and educational institutions in Baghdad. This research deals with digital transformation as an independent variable according to two dimensions (digital adaptability and digital readiness). Knowledge building was adopted as an approved variable using the s
... Show MoreStool speeimens were collected from pati nts who presented for various medical c:omplaints in out patien.t Laboratories (The Central Health Laboratories / Baghdad,). Every ,$pecim-en wa:s examined by Conventional m jcroscopic exatninatitnl (CME) ·and te.§t d, by IgG ELISA kit.
Antibody against d1e Entamoeba histolylica, det cted by ELISA, has ·the potential to become a vah,mble adjunct to blood diagn9stics and make it more affective, .although there is no repJacement fo'e the
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... Show MoreIn this work, a numerical study is performed to predict the solution of two – dimensional, steady and laminar mixed convection flow over a square cylinder placed symmetrically in a vertical parallel plate. A finite difference method is employed to solve the governing differential equations, continuity, momentum, and energy equation balances. The solution is obtained for stream function, vorticity and temperature as dependent variables by iterative technique known as successive over relaxation. The flow and temperature patterns are obtained for Reynolds number and Grashof number at (Re= -50,50,100,-100) (positive or negative value refers to aidding or opposing buoyancy , +1 assisting flow, -1 opposing flow) and (102 to 105) , respective
... Show MoreThe audio-visual arts are considered modern arts compared to theater, plastic arts, and music. It proved its distinguished presences among other arts. It was capable of forming a huge audience and took television from cinema, literature, theater, type of narration, and narrative instructor. Also, it took symbolism and metaphorical repetition from literature. As for the importance of the functions that repetition has the research concentrated on the importance of function of repetition in deeping the esthetic meaning in television drama. The research was limited by:1.Objective limit: functions of repetition in deeping the esthetic meaning in series of (Harem Al-Sultan).2.Place where it was showed: series of (Harem Al-Sultan) part four on
... Show MorePlace is considered one of the important artistic elements in the movie through which the events occur in different arts and literatures and with its absence there isn’t any that can initiate events. Place is important for the things that we recognize, and the first fact in cinema is the place which can't be dispensed with on the level of the film or scene or cinematic shot that can't be emptied from its spatial content. The characters are always there in a place occupying some space of it, despite that it is not merely a container for the event cinematically. The researcher views the importance of discovering and observing them in this research which is divided into four chapters as follows: (theoretical framework) which includes the
... Show MoreThis research aims to prepare an (Al-CdSe0.8Te0.2-Al) capacitor and study the alternating electrical properties of it at room temperature, and study the possibility of using these films in electronical applications. The A.C. conductivity of as-deposited films have been measured in the frequency range (f =100Hz-400KHz), and it has shown that A.C. conductivity ( σa.c ) increases with the frequency increasing. The study of the variation of each of the capacitance and real part of the dielectric constant (Єr ) with frequency has shown that their values decrease with frequency increasing. The study of the variation of each of the imaginary p
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