Aims to find out the (Extent of mathematics teachers' appreciation of the mathematical problem `multiple solutions) Research sample consisted of (100) mathematics teachers distributed on the General Directorates of Education in Baghdad (Rusafa 1/2/3) and (Karkh 1/2/ 3) There was two research approach which are: The first - two different answers of students to the same issue where teachers must assess each answer and explain which one the teacher will accept and why? The second - Different solutions of students' to the same issue, including wrong answers , Teachers should correct the answers and give them final grades (0-10). Descriptive and analytical Approch was used in this research methodology And zero hypotheses, which are as f

The use of non-parametric models and subsequent estimation methods requires that many of the initial conditions that must be met to represent those models of society under study are appropriate, prompting researchers to look for more flexible models, which are represented by non-parametric models                  

          In this study, the most important and most widespread estimations of the estimation of the nonlinear regression function were investigated using Nadaraya-Watson and Regression Local Ploynomial, which are one of the types of non-linear

In current study a computation fluid dynamic (CFD) technique was used to investigate the effect of groynes shape and spacing on the scour pattern and the maximum scour depth in open channel flow. CFD model have been validated throughout comparing the numerical results with three previous experimental studies for a single groyne located in open channel with three different shapes (L, quadrant, and parabola shapes). The comparison revealed very good agreement between numerical results of the maximum scour depth with the results of all experimental models. Moreover, investigations of the effect of multi-groynes (three groynes and four groynes) arranged in parallel with constant spacing and also with variable spacing have been done, the

Abstractin adult typical atrioventricular nodal reentrant tachycardia (AVNRT) consider most common paroxysmalsupraventricular tachycardia. Dual pathway idea still accepted and used widely and commonly. According tothe guide line, ablations of slow pathway still the first treatment with good success rate.Identify the electrophysiological difference of atrioventricular nodal pathways pre and post ablation.Electrophysiological study was done to 54 patients with only typical type AVNRTs; they were 40 (74%)females and 14 (26%) males. Divided into two groups G1 with 38 patients (70.4%) having one pathway andG2 with 16 patients (29.6%) with multiple pathway. After induction we study the clinical andelectrophysiological feature of tachycardia and s