scholarly journals Extending superposed harmonic initial data to higher spin

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Sizheng Ma ◽  
Matthew Giesler ◽  
Mark A. Scheel ◽  
Vijay Varma
Keyword(s):  
2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.


2016 ◽  
Vol 15 ◽  
pp. 163-171
Author(s):  
M. G. Shcherbakovskiy

The article discusses the reasonsfor an expert to participate in legal proceedings. The gnoseological reason for that consists of the bad quality of materials subject to examination that renders the examination either completely impossible or compromises objective, reasoned and reliable assessment of the findings. The procedural reason consists ofa proscription for an expert to collect evidence himself or herself. The author investigates into the ways of how an expert can participate in legal proceedings. If the defense invites an expert to participate in the proceedings, then it is recommended that his or her involvement should be in the presence of attesting witnesses and recorded in the protocol. In the course of the legal proceedings an expert has the following tasks: adding initial data, acquiring new initial data, understanding the situation of the incident, acquiring new objects to be studied, including samples for examination. An expert’s participation in legal proceedings differs from the participation of a specialist or an examination on the scene of the incident. The author describes the tasks that an expert solves in the course of legal proceedings, the peculiarities ofan investigation experiment practices, the selection of samples for an examination, inspection, interrogation.


2017 ◽  
Vol 6 (2) ◽  
pp. 409
Author(s):  
Reni Marlina

This study aims to improve students' reading ability through the first grade scramble students of SD Negeri 002 Benteng, Kecamatan Sungai Batang, which are 28 students with 11 male students and 17 female students with heterogeneous ability. This study is based on the low ability of students' learning outcomes and lack of awareness of teachers to implement an effective, innovative, and cooperative learning. The study was conducted from September 3, 2016 to October 8, 2016. This study is a classroom action research (PTK) consisting of two cycles. Minimum completeness criteria (KKM) and average analysis are used to determine whether or not improvement of student learning outcomes before and after using the scramble learning model. The results of this study indicate that the number of students who reach KKM in the initial data is only 10 people (36%), cycle I is 16 people (57%), and the second cycle is 25 people (89%). The average student score at baseline was 68.4; cycle I increased to 75,9; in the second cycle increased again to 83,6. Based on the results of this study it can be concluded that the model of learning scramble can improve reading ability in Indonesian language students class I of SD Negeri 002 Benteng, Kecamatan Sungai Batang.


2017 ◽  
Vol 6 (1) ◽  
pp. 296
Author(s):  
Rosmida Rosmida

The background of this study is the lack of IPS students' learning outcomes, from 22 students only 36.36% or 8 students who managed to achieve a minimum completeness criteria (KKM) established school with a class average value of 61.75. Based on this the researchers conducted a classroom action research with the aim to improve learning outcomes IPS students through the application of methods of discussion. This research is a class act, who performed a total of two cycles consisting of two meetings, the data of this study focuses on the data increase learning outcomes and increase student mastery learning outcomes IPS. The study states that the results of social studies students has increased in each cycle, the initial data is the number of students who completed 8 students (36.36%) with an average of learning outcomes at 61.75. In the first cycle has increased the number of students who completed up to 16 students (72.73%) with an average of learning outcomes at 73.90, and the second cycle the number of students who pass the increase to 22 students (100.00%) with a mean -rata learning outcomes at 87.75. Based on these results it can be concluded that the application of the method of discussion to improve learning outcomes IPS students of class V A SD Negeri 004 Tembilahan Kecamatan Tembilahan.


2014 ◽  
Vol 3 (1) ◽  
pp. 23
Author(s):  
Mahmud Alpusari

In line with the competency-based curriculum at the University of Riau, the effort to improvelearning basic concepts of science 2 courses puts emphasis on understanding the concept ofmatter, which is based on students' learning activities through scientific inquiry.Implementation of action research consists of two cycles in PGSD JIP University of Riau onthe odd semester of 2013/2014 with 55 third semester students. Based on the research results,lecturing process by applying the model of inquiry learning, students’ activity increased inwhich in the first cycle all activities are good category except activity I and II are faircategory. Meanwhile students’ activity in first and fourth in cycle II is good category, andvery good category in second, third, fifth, and sixth activity. Temporarily student’s learningoutcomes increased from pre-tests with an average65.45 into 77,0 in daily test I and 77.45onthe daily test II. Improvement from initial data to the first cycle was 11.55, while the datafrom the beginning to the second cycle increased 12 points. In general the improvement ofstudents’learning is possible because the learning model used is inquiry learning so thatlearning becomes active which centered into students by presenting a problem, then studentsare asked to carry out a simple experiment using equipment and tools, using data, arrangingreports, communicating the results of observations based on concepts and learned principles.Keywords: Inquiry, students’ activity, learning outcomes.


2015 ◽  
Vol 4 (2) ◽  
pp. 143
Author(s):  
Hasnidar '

This study aims to improve speaking skills of children aged 5-6 through methods Story Reading in TK Melati/ ABA 005 Pulau Balai. The method used is a Class Action Research. Class actions that researchers do the research is to use the method Story Reading to improve speaking skills of children aged 5-6 years in TK Melati TK Melati/ ABA 005 Pulau Balai, and is observed by the observer. Samples taken are TK Melati/ ABA 005 Pulau Balai with the number of children of 20 people, consisting of 13 men and 7 women. Data collection techniques in this research is through observation of teachers and children as well as data capability speaking children aged 5-6 years with use of methods Story Reading. Hipotesis in this study is if the method will be applicable Story Reading can improve speaking skills of children aged 5-6 years in TK Melati/ ABA Pulau Balai 005 can be enhanced through storytelling. Results of the research data obtained by using the method Story Reading can improve the ability to speak of children aged 5-6 years in TK Melati / ABA 005 Pulau Balai. The percentage increase in the ability to speak the child at the age of 5-6 years using Story Reading methods in TK Melati/ ABA 005 Pulau Balai, from initial data to the second cycle increased by 32.2%. The implication of this study is the use of methods Story Reading used properly, can improve speaking skills of children aged 5-6 years in TK Melati/ ABA 005 Pulau BalaiKeywords: story reading, speech


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