Applied Mechanics and Materials Vols. 687-691

Abstract: This paper discusses the form of inequality Cauchy-Schwarz in the field of calculus, giving the different methods of proof, which includes Parameter method, variable upper limit integral function method, the double integral and definite integral definition method. What’s more, through a series of examples, it also reflects that the inequality Cauchy-Schwarz can make the process of proving the inequality more simple while certifying the Integral inequality.

Abstract: In the application background of virtual teaching system, the author analyzes and designs the collision detection algorithm of parallel space dividing in view of the requirements of collision detection process. Through the experiment, the author compares the two kinds of serial and parallel space division method on the operation efficiency of comparison, and adopts parallel space partitioning algorithm to improve the efficiency of collision detection as well.

Abstract: In this paper we investigate the existence of positive solution of the following discrete two-order three-point boundary value problemWherandis sign-changing on . By using the fixed-point index theory, the existence of positive solutions for the above boundary value problem is obtained.

Abstract: We propose a new generative probabilistic Dirich- let Author-Topic (DAT) Model for extracting information about authors and topics from large text collections. DAT is a three-level hierarchical Bayesian model. The model builds on the Author Topic (AT) model, adding the key attribute that distribution over author is conditioned on a Dirichlet prior. The probability distribution over topics in a multi-author document is a mixture of the distributions associated with the authors. The three level distributions including document-author, author-topic and topic-word are learned from data in an unsupervised manner using a Gibbs sampling algorithm. We give results on a large corpus which contains 1740 papers from the Neural Information Processing Systems Conference (NIPS). Experiments based on perplexity scores for test documents are used to illustrate systematic differences between the proposed model and a number of alternatives.

Abstract: The retraction algorithm could make the whole path lie on the medial axis in 2D environment. However, it limits the initial and goal configuration lie on the medial axis. Therefore the paper proposed a path clearance optimization method to deal with the problem. The method retracted configurations of the original path to the medial axis. Then it added the retracted configurations, the initial and goal configuration to the retracted path. We apply R-retraction algorithm to the local paths, but not to the local paths between the initial, goal configuration and their retracted configurations. Finally, we proposed a method to remove the branches. We validated the algorithm in virtual environment. The experiments showed that the optimization method could make the whole retracted path lie on the medial axis and the start and goal configuration lie on any free space. Also the proposed method can get paths with maximum clearance in 2D environment in real-time.

Abstract: Application of fuzzy mathematics theory for evaluation method based on fuzzy gravity center is presented, the results of expert scoring is displayed in the Cartesian coordinate system by graphically, the abscissa of coordinate is the final evaluation of indicators, the ordinate of coordinate is the reliability information of the indicators’ evaluation, which reflecting the reliability of the evaluation, and the concept of deviation rate is introduced to reflect the impartiality of the final score coming from experts.

Abstract: Nowadays, the game industry has entered a period of vigorous development, each game artificial intelligence has become the indispensable one element, so a good design can be seen as the soul of game, in almost all games have a kind of be good to hear or see appearance, the soul is attracted to the core game player. In this paper, the genetic algorithm becomes a new random search and optimization algorithm, the basic idea of the theory of evolution based on Darwin and Mendel genetics. Genetic algorithm for solving multi objective and complexity with the unpredictable nature of the problem, there is there is nothing comparable to this superiority. The shortest path problem of network is abstracted to a minimum spanning tree problem and the limitations of the minimum spanning tree are analyzed. The notion of the node degree is introduced.

Abstract: By applying the DM technologies such as Association analysis and Cluster analysis, this paper has made systematic empirical research combined with the postgraduate admission data of the key College C in Beijing, and also made description and analysis of the mining results. This paper has applied the DM method and knowledge theory in practice, which has offered strong support for the postgraduate admission management of College C.

Abstract: With the development of computer graphics, real-time rendering-based VF: technology has been applied in more and more fields. LOD is the key technology in large-scale terrain rendering. In this paper, the basic concept of LOD is introduced briefly and some algorithms of LOD in use are mentioned and analyzed; secondly as one of algorithms of LOD, View-Dependent Progressive Mesh algorithm is studied and improved, the result of implementing the large-scale terrain’s LOD by using VDPM is presented. There are key technologies in LOD Large-scale terrain real-time rendering are researched. Relative technologies are presented such as: LOD of the terrain, visibility culling, and cracks eliminate, view-dependent refine, LOD error, technologies of texture etc. Using LOD technology, VR system can greatly reduce the; number of polygons produced in real-time rendering procedure. Finally, we do experimental design work based on the methods and techniques presented by this paper.

Abstract: This paper focuses on the characteristics of mathematical modeling and explores the relationship between computer applications and mathematical modeling awareness. The impact of computers on mathematical modeling and its application in the mathematical contest in modeling are also discussed. Mathematical modeling is conducive to students' creativity and sense of innovation; it helps train students in the organization and coordination ability and computer skills and develops students' ability to adapt and the spirit of teamwork.