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 follows. 1-Mathematics teachers' assessment of mathematical problems with multiple solutions is statistically identical in terms of greater than (0.05) level. 2. Mathematics teachers estimate the level of achievement of their students through different solutions to mathematical problems is statistically identical in terms of greater than the level (0.05). Some of The search results are as follows: 1. The existence of a difference between mathematics teachers in the assessment of mathematical problems `multiple solutions 2. There is a difference in the assessment of mathematics teachers to the level of achievement of their students through various solutions to mathematical problems.
Background: Non-atherosclerotic spontaneous coronary artery dissection (SCAD) is defined as a non-traumatic and non-iatrogenic separation of the coronary arterial wall. SCAD is a highly uncommon cause of myocardial infarction (0.1 to 0.4 %).
Case presentation: 40-year-old African American woman, G1T1P0A0L2, with a past medical history of tobacco abuse and obesity who had uncomplicated cesarean section delivery for healthy twins two weeks prior presented with substernal, sudden onset chest pain. The pain radiated to left arm and back, pressure-like, and is associated with nausea, vomiting, and dyspnea.
On examination she was within normal limits except for a well-healed C-section wound. An electrocardiogr
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In this paper two ranking functions are employed to treat the fuzzy multiple objective (FMO) programming model, then using two kinds of membership function, the first one is trapezoidal fuzzy (TF) ordinary membership function, the second one is trapezoidal fuzzy weighted membership function. When the objective function is fuzzy, then should transform and shrinkage the fuzzy model to traditional model, finally solving these models to know which one is better
A mathematical model is developed to discuss the impact of the Hall current and the Joule heating on the peristaltic flux of finitely extensible nonlinear elastic Peterlin (FENE-P) fluid in a tapered tube with mild stenosis. The fluid movement along the wall surface resulted from the sinusoidal wave flowing with constant speed. Conditions of velocity and thermal slip are applied. Lubrication approximation is adopted to modify the governing flow problem. To discover the solution to a system of equations, the regular perturbation approach is used. The effects of the different physical parameters are debated and graphically shown in a set of figures. It is discovered that as the Hall current parameter is increased and the Hartman n
... Show MoreThe analysis of time series considers one of the mathematical and statistical methods in explanation of the nature phenomena and its manner in a specific time period.
Because the studying of time series can get by building, analysis the models and then forecasting gives the priority for the practicing in different fields, therefore the identification and selection of the model is of great importance in spite of its difficulties.
The selection of a standard methods has the ability for estimation the errors in the estimated the parameters for the model, and there will be a balance between the suitability and the simplicity of the model.
In the analysis of d
... Show MoreCytokines are signaling molecules between inflammatory cells that play a significant role in the pathogenesis of a disease. Among these cytokines are interleukins (ILs) 17A and 33, and accordingly, the current case-control study sought to investigate the role of each of the two cytokines in the risk of developing multiple sclerosis (MS). Sixty-eight relapsing-remitting MS (RRMS) Iraqi patients and twenty healthy individuals (control group) were enrolled. Enzyme linked immunosorbent assay (ELISA) kits were used to determine serum levels of IL-17A and IL-33. Results revealed that IL-17A and IL-33 levels were significantly higher in MS patients than in controls (14.1 ± 4.5 vs. 7.5 ± 3.8 pg/mL; p < 0.001 and 65.3 ± 16
... Show MoreWe studied the effect of certain environmental conditions for removing heavy metal elements from contaminated aqueous solutions (Cd, Cu, Pb, Fe, Zn, Ni, Cr) using the bacterium Bacillus subtilis to appoint the optimal conditions for removal ,The best optimum temperature range for two isolate was 30-35○C while the hydrogen number for the maximum mineral removal range was 6-7. The best primary mineral removal was 100 mg/L, while the maximum removal for all minerals was obtained after 6 hrs of Cu element time and the maximum removal efficiency was obtained after 24 hrs of Cu element. The results have proved that the best aeration for maximum removal was obtained at rotation speed of 150 rpm/minute. Inoculums of 5ml/100ml which contained 1
... Show MoreBackground: Disinfection of denture and soft denture liners became among the priorities for cross contamination control as well as patient's health. All the trials aimed to have maximum infection control with minimal adverse changes in the materials properties.
Materials and methods: Discs of 30x2mm were made from Coe Super Soft and Coe Soft denture liners. Every 5 specimens were immersed separately and daily in CHX, Sodium hypochlorite and chlorine dioxide, control group specimens were immersed in the distilled water. Hardness property of the experimental and control groups was evaluated by using Shore A durometer after 1, 7, 30 days.
Results: Statistical analysis indicated non significant difference
In this research, our aim is to study the optimal control problem (OCP) for triple nonlinear elliptic boundary value problem (TNLEBVP). The Mint-Browder theorem is used to prove the existence and uniqueness theorem of the solution of the state vector for fixed control vector. The existence theorem for the triple continuous classical optimal control vector (TCCOCV) related to the TNLEBVP is also proved. After studying the existence of a unique solution for the triple adjoint equations (TAEqs) related to the triple of the state equations, we derive The Fréchet derivative (FD) of the cost function using Hamiltonian function. Then the theorems of necessity conditions and the sufficient condition for optimality of
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