In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R³ is introduced. The modelling of the majorant function (MF) with the modified Newton method (MNM) is employed to convert N3D-VIOE to the linear 3D Volterra type integral operator equation (L3D-VIOE). The method of trapezoidal rule (TR) and collocation points are utilized to determine the approximate solution of L3D-VIOE by dealing with the linear form of the algebraic system. The existence of the approximate solution and its uniqueness are proved, and illustrative examples are provided to show the accuracy and efficiency of the model.

Mathematical Subject Classificat

    This article aims to explore the importance of estimating the a semiparametric regression function ,where we suggest a new estimator beside the other combined estimators and then we make a comparison among them by using simulation technique . Through the simulation results we find  that the suggest estimator is the best with the first and second models ,wherealse for the third model we find Burman and Chaudhuri (B&C) is best.

The purpose of this article is to improve and minimize noise from the signal by studying wavelet transforms and showing how to use the most effective ones for processing and analysis. As both the Discrete Wavelet Transformation method was used, we will outline some transformation techniques along with the methodology for applying them to remove noise from the signal. Proceeds based on the threshold value and the threshold functions Lifting Transformation, Wavelet Transformation, and Packet Discrete Wavelet Transformation. Using AMSE, A comparison was made between them , and the best was selected. When the aforementioned techniques were applied to actual data that was represented by each of the prices, it became evident that the lift

This study was aimed to detect and identify genetic mutations in γ-aminobutyric acid receptor β3 subunit encoding gene (GABRB3) and its association with autism spectrum disorders. Forty autistic patients and 25 non-autistic as control group (5 unaffected sibling and 20 unrelated) with age range from 3 – 10 years were included in this study. Chromosomal DNA was extracted from blood samples followed by polymerase chain reaction (PCR) amplification of two targeted regions which include: (exon2-intron2-exon3) region and (exon 6) region of GABRB3 for subsequent DNA sequencing. Identical bands related to the targeted regions were present in all samples. A sample of PCR products of patients and controls were sequenced. Sequencing results re

The Optical Fiber sensor based on the Surface Plasmon Resonance (SPR) technology has
been a successful performance sensing and presents high sensitivity. This thesis investigates the
performance of several structure of SPR sensor in field of refractive index and chemical
applications. A structure of Multi-Mode Fiber- Single Mode Fiber- Multi Mode Fiber (MMFSMF-MMF)

Brainstorming is considered as one of the manners that develop learners' mental abilities. Besides, it can help learners get a lot of ideas and thoughts. And by following applied steps to answer the problem concerned, the researcher carried out this practical study aimed at:Developing the ideas of design of third year students/Institute of Fine Arts/Evening Studies- Baghdad/First Rusafa by employing Brainstorming mechanism to develop the ideas of design of institute students in designing the technical advertisement and to achieve the authenticity of the goal of the research, Department of Plastic Arts/Institute of Fine Arts/Evening Studies/Baghdad-First Rusafa was chosen as a case study for the research. It embraced (20) students who rep

This manuscript presents several applications for solving special kinds of ordinary and partial differential equations using iteration methods such as Adomian decomposition method (ADM), Variation iterative method (VIM) and Taylor series method. These methods can be applied as well as to solve nonperturbed problems and 3rd order parabolic PDEs with variable coefficient. Moreover, we compare the results using ADM, VIM and Taylor series method. These methods are a commination of the two initial conditions.

       In spite of the high rate of morbidity and mortality heart failure (HF) is common, and none of the medications are now entirely available for HF treatment. In addition to many environmental influences and clinical diseases, genetic factors may also contribute to the progression and development of HF.  In the current study, samples of blood were collected from 150 heart failure patients and 130 healthy controls. We evaluated the association of four single nucleotide polymorphisms (snps) of Toll-like receptors (TLR6 and TLR5) with (HF) susceptibility in the Iraqi population. In this work, (SNP) called Toll-like receptor 5 (rs5744168, rs2072493) and Toll-like receptor 6 (rs1039559, rs5743810) were employed. (PCR-RFLP) for snps

Background: Diabetes mellitus is a major risk factor for coronary artery disease, with a higher incidence of myocardial infarction and sudden death. Left ventricular dysfunction is difficult to diagnose and to differentiate into diastolic and systolic dysfunction on the basis of medical history, physical examination, electrocardiography (ECC) and chest radiography. Two-dimensional, M-mode, and Doppler echocardiography are excellent for diagnosing left ventricular dysfunction. M-mode echocardiography was used for diagnosing left ventricular systolic dysfunction, while Doppler echocardiography has become well accepted as a reliable, reproducible and practical noninvasive method for the diagnosis of left v