Одномерное квазилинейное уравнение для описания генерации токов увлечения в плазме токамака геликонами

A quasi-linear equation which allows describing evolution of electron distribution function and generation of non-inductive currents by helicons is obtained. It is shown that in the analysed case the Fokker-Planck equation can be approximated by a one-dimensional equation in the longitudinal electron velocity space with a diffusion coefficient proportional to the helicon power absorbed by electrons due to Landau damping.

Teaching Materials of Problem-Based Linear Equation System with Two-Variables for Eighth-Grade Students in Junior High School

This research is motivated by the lack of mathematics teaching materials that can make students learn on their own. The teaching material can be created by teachers as they are the ones who possess the knowledge about their students’ characteristics. Further, learning materials are a set of materials (information, tools, or texts) that can aid teachers and students to carry out the learning process. The two-variable linear equation system (SPLDV) is one of the mathematics materials taught to eighth-grade students of junior high school; it contains problems related to daily life. However, it is found that this material is still difficult to master by most students. Therefore, it is necessary to develop the SPLDV teaching materials that can help students learn and solve problems as well as be used as examples by teachers in developing other materials. This research aimed to make problem-based SPLDV teaching materials. The research method refers to the Four-D Model by Thiagarajan, Semmel, and Semmel (1974). It consisted of defining, designing, developing, and disseminating. The results showed that problem-based SPLDV teaching materials could be used in learning activities as the students and the teachers had shown their positive responses after going through expert assessments. This study also suggested that the teachers use this teaching material and adopt teaching materials for other similar materials.

Efektivitas Pembelajaran Matematika Berbasis E-Learning Pada Materi Sistem Persamaan Linear Dua Variabel Kelas VIII di MTsN 1 Mataram

The purpose of this study was to determine the effectiveness of e-learning based mathematics learning on the material of the two-variable linear equation system for class VIII at MTsN 1 Mataram. This type of research is a descriptive study using a quantitative approach. The research design used a post-test-only control design. All students of class VIII at MTsN 1 Mataram were the population and the sampling technique used cluster random sampling. The sample used was class VIII-8 and VIII-9 who were a member of one sample group. The data in the study were analyzed using descriptive statistics and paired sample t-test to determine whether or not e-learning based mathematic learning was effective in the material of the two-variable linear equation system. Based on the results of data analysis, it is known that e-learning-based mathematics learning with learning video is effectively applied to the material of the two-variable linear equation system for class VIII students at MTsN 1 Mataram the academic year 2020/2021.

Pengembangan LKPD berbasis PBL untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa Kelas VIII pada Materi Sistem Persamaan Linear Dua Variabel

The purpose of this study was to develop student worksheets based on PBL (Problem Based Learning) to improve the problem-solving abilities of class VIII students at MTs Hikmatusysyarief NW Salut Narmada for the 2020-2021 school year on two-variable linear equation systems. PBL-based LKPD (Problem Based Learning) is an LKPD that is arranged based on the phases of the PBL learning model. The development of this product aims to overcome the weaknesses in the teaching and learning process and overcome the weaknesses of students' problem-solving abilities. The research methodology used in developing PBL-based LKPD is 4D (Define, Design, Development, and Dissemination). Data collection techniques using interview guidelines and questionnaires. The result of the research is a product in the form of LKPD based on PBL (Problem Based Learning) on ​​the material of a two-variable linear equation system. The product has been declared valid with very good criteria by two validators. Based on the results of a limited trial on the use of the developed product, it is known that the PBL-based LKPD can improve the problem-solving ability of class VIII students of MTs Hikmatusysyarief NW Salut Narmada.

Pengaruh Kemampuan Verbal dan Kemampuan Numerik Terhadap Kemampuan Menyelesaikan Soal Sistem Persamaan Linear Bentuk Cerita

This study aims to determine the effect of verbal ability and numerical ability, the effect of verbal ability, and the effect of numerical ability on the ability of solving linear equation system problems. This study is an ex post facto research. The population of this study were students of class XI SMAN 9 Mataram. The sample in this study were 28 students of class XI SMAN 9 Mataram represented by four students in each class. The data analysis used is multiple linear regression analysis and simple linear regression analysis. From the results of the data analysis, there is a significant influence between verbal ability and numerical ability on the ability to solve linear equation system problems with a value of Fhitung = 3,660 > Ftabel = 3,39. The magnitude of this influence is written in the form of a regression equation, namely Y = 24,602 + 0,140X1 + 0,224X2. This regression equation shows that if the verbal ability score increases by 1 with a fixed numerical ability score, then the ability to solve math problems will increase by 0,140; and if the numerical ability score increases by 1 with a fixed verbal ability score, the value of the ability to solve story questions will increase by 0,225 and plus 24,602 from other factors.

Convergence results for some piecewise linear solvers

Let A be a real $$n\times n$$ n × n matrix and $$z,b\in \mathbb R^n$$ z , b ∈ R n . The piecewise linear equation system $$z-A\vert z\vert = b$$ z - A | z | = b is called an absolute value equation. In this note we consider two solvers for uniquely solvable instances of the latter problem, one direct, one semi-iterative. We slightly extend the existing correctness, resp. convergence, results for the latter algorithms and provide numerical tests.

Charged thin-shell wormholes in f(R) gravity

In this paper, the charged thin-shell wormholes have been constructed by using cut-and-paste approach in the framework of [Formula: see text] theory of gravity. The stability analysis is performed in [Formula: see text] gravity formalism, where [Formula: see text] and [Formula: see text] are nonzero constants, with a linear equation of state. The stable and unstable regions have been examined for different values of the parameters involved in the model. The effect of charge and mass on the throat radius is analyzed and stability of thin shell is obtained.

The ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA SPLDV BERDASARKAN TAHAPAN NEWMAN DITINJAU DARI TIPE KEPRIBADIAN FLORENCE LITTAUER

The aim of this qualitative research is to describe the types of student errors in solving the two-variable linear equation system story problem based on Newman's error analysis in terms of Florence Littauer's personality type. The data sources consisted of 8 students of grade IX C SMP Nuris Jember who had been taught the material of two-variable linear equation systems. The data taken were the results of the questionnaire used to group students into four categories of personality types, the results of the student's story problem solving test results, and the results of the interviews of the students who were the research subjects. The results showed that in solving the two-variable linear equation system material story problems, students sanguinis experienced reading errors, comprehensior errors, transformation errors, process skill errors, and encoding error. Melancholy and phlegmatis students experience transformation error, process skill error, and encoding error. Koleris students experienced process skill error and encoding error. Keywords: Error, Newman, Personality Type, SPLDV

RESEARCH ON SHEAR PERFORMANCE OF COMPONENTS CONNECTED BY BEECH AND SELF-TAPPING SCREW COMPOSITE DOWELS

This study examined the properties of components connected by beech and self-tapping screw composite dowels (group C). As a contrast, the components connected by beech dowels and self-tapping screws individually were tested. The test results indicated that the properties of the components connected by beech dowels (group B) were better than those connected by self-tapping screws (group S), except the ductility coefficient, final displacement, and energy consumption. On the other hand, the main failure modes of groups B and S were the broken beech dowel and the bent self-tapping screw, respectively. For group C, two peak values could be found which were larger than the maximum load of groups B and S, respectively. The properties of group C were better than those of groups B and S, except that the final displacement and energy consumption were located between those of groups B and S. Meanwhile, the linear equation in two unknowns have be found between groups B, S and C.