Attitudes Al-Qadisiyah University students towards e-learning

The research aims to know the attitudes of Al-Qadisiyah University students towards e-learning, and in order to achieve the objectives of the research, the researchers adopted the descriptive approach by informing them of the literature and studies related to the subject of the research, and the research identified the students of Al-Qadisiyah University for the academic year 2020-2021. To achieve the objectives of the research, the researchers prepared a scale of Al-Qadisiyah University students’ attitudes towards e-learning, which consisted of (30) five-paragraph alternatives distributed over three areas. Data processing statistically, if the researchers used the T_TEST test equation For one sample to verify the university students’ attitudes towards e-learning, and the results showed that university students have positive attitudes towards e-learning, there are statistically significant differences between the gender variable (males, females) in favor of males, and based on those results that the current research came out with, it was reached To a set of conclusions, the researchers also recommended some recommendations and suggestions

STABILITY ANALYSIS OF A PROPOSED SCHEME OF ORDER FIVE FOR FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS

This paper presents the stability analysis of a proposed scheme of order five (FCM) for first order Ordinary Differential Equations (ODEs). The proposed FCM is derived by means of an interpolating function of polynomial and exponential forms. The properties of FCM were discussed extensively. The linear stability of FCM in the context of the Third Order One-Step Method (TCM) and Second Order One-Step Method (SCM) for the solution of initial value problems of first order differential equations is presented. The stability region of FCM, TCM and SCM is investigated using the Dahlquist’s test equation. The numerical results obtained via FCM are compared with TCM and SCM. Moreover, by varying the step length, the accuracy and convergence of the methods in terms of the final absolute relative error are measured. The results show that FCM converges faster and more stable than its counterparts.

The extent to which the physics teachers of the preparatory stage are familiar with metacognitive skills

The present research aims at: - Knowing the extent that the preparatory school teachers are familiar with metacognitive skills. To achieve the goal of the research, the researchers used the descriptive approach, as he prepared a measure of metacognitive skills to know the extent to which physics teachers are familiar with them by reviewing the literature, research and previous studies related to metacognition skills, and the scale was presented to a group of expert arbitrators to achieve the apparent validity of the scale and then make sure From the clarity of the paragraphs of the scale and the extraction of the psychometric characteristics of the scale, and thus the scale consisted of (72) items distributed over two areas. The first area of knowledge about knowledge includes skill (declarative knowledge, procedural knowledge, conditional knowledge), while the second area is organizing knowledge (self-management of knowledge) and includes skill (Planning, Organization, Evaluation), then the scale was applied to the research sample consisting of (120) female and male teachers from the middle school teachers who were randomly selected from the schools affiliated to the Directorate of Education in Babil Governorate, and the results showed using the percentage and equation Chi-square, t-test equation for two equal independent samples, Pearson correlation coefficient, Spearman-Brown correlation coefficient, Cronbach's alpha equation, and the test equation T-RT for one sample and the program (Microsoft excel) the following: - - The level of knowledge of preparatory school physics teachers in metacognition skills is less than the required sufficiency limit, which is 80% (as determined by experts and arbitrators) of the total score of the metacognitive skills scale In light of these results, the researchers reached a number of recommendations and suggestions. Keywords/ familiarity, metacognition skills.

Determination of electromagnetic source localization with factorization method

The factorization method (FM) is an attractive qualitative inverse scattering technique for the detection of geometrical features of unknown objects. This method depends on the selection of regularization parameters slightingly and has low calculation necessities. The aim of this work is to present a near-field FM for inverse source problems that have many applications. A modified test equation is obtained by converting the far-field term to Hankel's function. A different method has been proposed by manipulating the asymptotic approximation of Hankel's function in order to obtain near-field equations with incident angle and distance parameters. The novelty of this study is an integral equation based on the FM, which consists of multifrequency sparse near-field electric field measurements. We proved that the solution of the proposed integral equation gives information about the location of scatterers. The proposed algorithm is validated with simulation results and the capabilities of the presented method are assessed with several frequency regions and sources. Additionally, the presented method is compared with the direct sampling method in order to understand the performance of the proposed approach over a given scenario. The developed FM provides accurate results for electromagnetic source problems.

A Generalized Equation for Prediction of VO2peak from a Step Test

This study aimed to develop an equation to reduce variability of VO2peak prediction from a step test and compare VO2peak prediction from the new equation to the Queen’s College Step Test (QCST). The development group (n=86; 21.7±2 years) was utilized to develop the SDState step test equation to predict relative VO2peak. The cross-validation group (n=99; 21.6±2 years) was used to determine the validity of the SDState step test VO2peak prediction equation. A regression analysis was used to identify the best model to predict VO2peak. Analysis of variance (ANOVA) was further used to determine differences among predicted and measured VO2peak values. Forward stepwise multiple regression identified age, sex, abdominal circumference, and active heart rate at the 3-min mark of the step test to be significant predictors of VO2peak (mL·kg−1·min−1). No differences among measured VO2peak (47.3±7.1 mL·kg−1·min−1) and predicted VO2peak (QCST, 46.9±9.3 mL·kg−1·min−1; SDState 48.3±5.7 mL·kg−1·min−1) were found. Pearson correlations, ICC, SEE, TEE, Bland-Altman plots, and Mountain plots indicate the SDState step test equation provides less variation in the prediction of VO2peak compared to the QCST. The SDState step test equation is effective for predicting VO2peak from the YMCA step test in young, healthy adults.

Study oil density in flow, system of automated measurement and inaccuracies

The paper reviews the issues of specification of fluid fuel amount with high measuring accuracy transported through oil pipelines. The operation algorithm of vibration-frequency densitometer for automatic measurement of fluid fuel density with high measuring accuracy in technological process in the exploitation conditions is based on the hybrid test method. For this purpose test equations on measuring links using simple additive and multiplicative tests, as well as their combinations have been developed, test equations composed, and as a result of their solution the main test equation obtained. The mathematic-statistic estimation of the results of densitometer measurements correcting test algorithms for the definition of measurement errors and composing inaccuracies, the method of automated calibration are presented as well.

Mean-Square Stability of Split-Step Theta Milstein Methods for Stochastic Differential Equations

The fundamental analysis of numerical methods for stochastic differential equations (SDEs) has been improved by constructing new split-step numerical methods. In this paper, we are interested in studying the mean-square (MS) stability of the new general drifting split-step theta Milstein (DSSθM) methods for SDEs. First, we consider scalar linear SDEs. The stability function of the DSSθM methods is investigated. Furthermore, the stability regions of the DSSθM methods are compared with those of test equation, and it is proved that the methods with θ≥3/2 are stochastically A-stable. Second, the nonlinear stability of DSSθM methods is studied. Under a coupled condition on the drifting and diffusion coefficients, it is proved that the methods with θ>1/2 can preserve the MS stability of the SDEs with no restriction on the step-size. Finally, numerical examples are given to examine the accuracy of the proposed methods under the stability conditions in approximation of SDEs.

A new high algebraic order efficient finite difference method for the solution of the Schrödinger equation

The development of a new five-stages symmetric two-step method of fourteenth algebraic order with vanished phase-lag and its first, second, third and fourth derivatives is analyzed in this paper. More specifically: (1) we will present the development of the new method, (2) we will determine the local truncation error (LTE) of the new proposed method, (3) we will analyze the local truncation error based on the radial time independent Schr?dinger equation, (4) we will study the stability and the interval of periodicity of the new proposed method based on a scalar test equation with frequency different than the frequency of the scalar test equation used for the phase-lag analysis, (5) we will test the efficiency of the new obtained method based on its application on the coupled differential equations arising from the Schr?dinger equation.

Hybrid high algebraic order two-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives

A hybrid tenth algebraic order two-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives are obtained in this paper. We will investigate • the construction of the method • the local truncation error (LTE) of the newly obtained method. We will also compare the lte of the newly developed method with other methods in the literature (this is called the comparative LTE analysis) • the stability (interval of periodicity) of the produced method using frequency for the scalar test equation different from the frequency used in the scalar test equation for phase-lag analysis (this is called stability analysis) • the application of the newly obtained method to the resonance problem of the Schrödinger equation. We will compare its effectiveness with the efficiency of other known methods in the literature. It will be proved that the developed method is effective for the approximate solution of the Schrödinger equation and related periodical or oscillatory initial value or boundary value problems.