Accurate Estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems

This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n-th order boundary value problems with sign-regular kernels subject to two-point boundary conditions. The method is based on the selection of a particular type of cone for each eigenpair to be determined, the recursive application of the operator associated to the equivalent integral problem to functions belonging to such a cone, and the calculation of the Collatz–Wielandt numbers of the resulting functions.

The Application of The Use Integration Technique in Solving An Integral Problem

There are many integration techniques that can be used to solve an integral problem.In this material, several integration techniques will be discussed including substitution, the properties of algebra and trigonometry and techniques commonly used in test books.If we are faced with integral problems that cannot be solved by techniques ,what we have learned, we use partial integral techniques. Partial integration technique is obtained by integrating the derivative formula of the product by two functions. Keywords: integration technique; substitution; partial integration technique

METRICAL ESTIMATIONS OF DETERMINANT OF THE INTEGRAL PROBLEM FOR EQUATION OF VIBRATING OF STRING

Metrical theorems are inprocess set about estimations from below small denominators that arose up at investigational existence of periodic at times decision of task with integral conditions as moments after a spatial variable for equalization of small vibrating of string. For leading to of metrical estimations the concept of fractal measure and dimension of Hausdorff is from below applied.

Cyberbullying of children: Challenges of victim support

Bullying in the form of verbal, physical and social harassment is an integral problem for all societies. With the development of information and communication technology, cyberbullying of children as a new type of bullying increasingly attracts the attention of scholars. Bearing in mind that cyberbullying of children is the subject of this paper, various theoretical approaches, defining this phenomenon, are analyzed. Furthermore, special attention is paid to existing international, European and national legal framework in the context of cyberbullying of children. Finally, starting from the phenomenological forms of cyberbullying of children, the focus is on the challenges of providing victim support. In concluding remarks, it is stated that the lack of a single understanding of cyberbullying of children is a consequence of the absence of a comprehensive legally binding document devoted to this problem. The main goal of the article is to raise awareness about the need to adopt a comprehensive legally binding document devoted to cyberbullying of children in order to protect the rights of victims in cyberspace.

Investigating student difficulties on integral calculus based on critical thinking aspects

Students of Mathematics education often struggle with integration problem, but yet the root of the problem related to critical thinking is rarely investigated. This article reports research where the first-year students of Mathematics Education of PGRI University Semarang were given an integral problem, then individually they were interviewed related to the answer they have made. The findings of students' difficulties in working on integration problem were confirmed through several questions in the interview which aimed to uncover their critical thinking process related to concepts, procedures, and problem solving. This study shows that student difficulties in Integration by disc method such as failure in identifying radius of a rotary object, specify partition, and integration bounds are closely related to their failure to think critically related to concept, skills, and problem solving aspects of critical thinking.