The simplest and most used models of protein folding is the Hydrophobic-Polar (HP) model. The HP model labeling the amino acids as Hydrophilic (H) or Polar/ydrophilic (P). The folding of amino acids sequence is configured as self-avoiding walks on the 2D or 3D lattice, where the optimal conformation has maximum number of contacts between H amino acids (H-H contacts) that are not adjustment in amino acid sequence. In this paper, we develop and present software for visualization of HP protein folding problem under the HP model on the 2D square lattice. For the development of HP folding visualization software, we used MS Visual Studio, .NET Framework 2.0 and C# language. If we have HP sequence and folding results for this sequence, obtained by optimization software as CPLEX or GUROBI, then using the 2D visualization software we can visualize the obtained results in square lattice. This visualization software is a valuable tool for the study of HP folding and is a great pedagogic instrument. All figures of HP folding included in this paper are actual screenshots of our visualization program.
In this article, we'll introduce ways to build virtual worlds through different computer programs. We will show the method of rectangles for analyzing data obtained from the electroencephalogram. We will demonstrate basic mathematical models for movement prediction in a system of virtual reality. Using this data, the main transformations are possible-change of position and rotation (change of orientation).
This article is based on the methodology of comparative analysis, using an innovative approach for pricing of various goods and services. Benchmarking is the continuous search to find and adapt better pricing methods that leading to increased profits. We will consider the numerical solution of partial differential equations, based on Black-Scholes model for pricing of goods and services within European option. Also, we will present formulation and numerical behavior of explicit and implicit methods that can be use in pricing for company assets within European option.
<p class="abstract"><span lang="EN-US">Today we live in a society of high technologies, advanced information and com-munication systems in every field, including education. So, in modern education, teachers make full use of the possibilities of modern Information and Communi-cation Technologies (ICT). In this case, the attitude of the teachers towards the use of computers, to achieve the educational goals, is very important. To have the technologies sustained and significant effect, students in secondary and higher schools need to understand how to use them. The goal of this article is to help of students in secondary and higher schools to acquire enough practical program-ming skills and to learn the sorting algorithms, i.e. the article considers basic sort-ing algorithms. We developed and describe here software with name “Visual sorting” that shows visual, the execution of the basic sorting algorithms: Bubble sort; Selection sort; Insertion sort; Merge sort. Also, our software provides inter-active tracking of the performance (step by step) of different sorting algorithms.</span></p>
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