In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony. We introduced the modified Lyapunov-Schmidt reduction for nonhomogeneous problems when the dimension of the null space is equal to two.  The nonlinear Ritz approximation for the nonhomogeneous Camassa-Holm equation has been found as a function of codimension twenty-four.

A (k,n)-arc A in a finite projective plane PG(2,q) over Galois field GF(q), q=pⁿ for same prime number p and some integer n≥2, is a set of k points, no n+1 of which are collinear.  A (k,n)-arc is complete if it is not contained in a(k+1,n)-arc.  In this paper, the maximum complete (k,n)-arcs, n=2,3 in PG(2,4) can be constructed from the equation of the conic.

The present study aimed at identifying the role of supervisory and training practices in the field   education program in achieving course objectives from the perspective of the student teachers in the Faculty of Science and Arts in sharourah, and its relationship to some variables (gender, specialization,estimation). To achieve this, the researcher used the descriptive-analytical method, and the study tool was designed, which consists of (24) items distributed on two axes: the objectives of field education and supervisory and training practices.Then, the study tool was applied to the research sample represented in the entire study community, which consists of (65) male and female students in the Faculty of Sciences and Arts in

Cognitive methods play the role of regulator of the human environment for its direct relationship with sensory stimuli and stimuli associated with the organization of information and ideas and their preparation for use in subsequent situations. These methods determine the characteristic or ideal way of individual personality in the differentiation and integration of attitudes or cognitive field to which he is exposed. Therefore, the research aimed at the level of psychological stress and its relation to some personal characteristics that show the personality of the artist or the students of art.

Current research aims to.

1. Identifying the extent of psychological stress and its relation to the personal ch

Abstract

The research aims to identify the logical intelligence of distinguished students and to identify the extent of the contribution of the fields of logical intelligence to the sensitivity of students' sensory processing in distinguished schools. The research sample consisted of (400) male and female students selected by the stratified random method with the proportional method. The scale that was prepared according to the theoretical framework and the adopted theory was applied after being subject to the psychometric properties of validity and reliability, Logical thinking (observation, interpretation, mathematical and arithmetic operations) contributed to sensory processing. The results showed that disting

The current research aims to identify pictorial coding and its relationship to the aesthetic taste of art education students. The research community consisted of (10) plastic artworks, and (3) artworks were selected as a sample for analysis and decoding. With the aim of the research, the research tool was prepared as it consisted of an analysis form, and the researcher used statistical methods: Equation (Cooper) to find the percentage of agreement between the arbitrators and the equation (Scott) to calculate the validity of the tool, and the correlation coefficient (Pearson) to extract stability in the method of segmentation half. Shape formations and achieve encryption of the plastic image through decoding symbols, meanings, and the sig

The goal of present study was to investigate the benefits of broccoli (as antiandrogenic plant) in protection and treatment for reproductive hormonal and metabolic disturbance, which combined with polycystic ovarian syndrome (PCOS). The PCOS model was introduced by injecting subcutaneously prepubertal female rats at 21 days old with Letrozole for 39 days, and divided into 6 groups (8 rats each ) as follows:

Group 1: Female rats were injected with 0.1 ml of normal saline. Group 2: Female rats were injected with 0.1 ml of 400 µg Letrozole Group 3: Female rats were injected with 0.1 ml of 400 µg L with orally gavaged of broccoli juice. Group 4: Female rats were injected with 0.1 ml of normal saline and at the end of the last

The objective of this paper was to study the laser spot welding process of low carbon steel sheet. The investigations were based on analytical and finite element analyses. The analytical analysis was focused on a consistent set of equations representing interaction of the laser beam with materials. The numerical analysis based on 3-D finite element analysis of heat flow during laser spot welding taken into account the temperature dependence of the physical properties and latent heat of transformations using ANSYS code V.10.0 to simulate the laser welding process. The effect of laser operating parameters on the results of the temperature profile were studied in addition to the effect on thermal stresses  and dimensions of the laser w

The research addresses the role of the digital economy in the growth of the Iraqi economy during the period from 2010 to 2022. The research is based on the hypothesis that the digital economy has become one of the primary growth drivers worldwide and has a close relationship with economic development. Therefore, the digital transformation in Iraq can accelerate bridging developmental gaps with other countries.

It has become evident that the Iraqi economy suffers from structural imbalances for various reasons, hindering economic growth. These reasons include political and economic factors, as well as the absence of a well-thought-out policy to promote the agricultural sector, which is considered one of the fundamental sectors capa