Advanced Materials Research Vols. 1033-1034

Abstract: Locally linear embedding is based on the assumption that the whole data manifolds are evenly distributed so that they determine the neighborhood for all points with the same neighborhood size. Accordingly, they fail to nicely deal with most real problems that are unevenly distributed. This paper presents a new approach that takes the general conceptual framework of Hessian locally linear embedding so as to guarantee its correctness in the setting of local isometry to an open connected subset but dynamically determines the local neighborhood size for each point. This approach estimates the approximate geodesic distance between any two points by the shortest path in the local neighborhood graph, and then determines the neighborhood size for each point by using the relationship between its local estimated geodesic distance matrix and local Euclidean distance matrix. This approach has clear geometry intuition as well as the better performance and stability to deal with the sparsely sampled or noise contaminated data sets that are often unevenly distributed. The conducted experiments on benchmark data sets validate the proposed approach.

Abstract: This paper discusses a randomized Predator-Prey model with Functional Response. Using results from lyapunov function, we show that the positive solution of the associated stochastic differential equation does not explode to infinity in a finite time under simple assumption .It is shown to improve existing results.

Abstract: In order to resolve the uncertainty problem of influence factors in effect evaluation of bench blasting, the effect evaluation model of bench blasting based on uncertainty measurement theory was built, then this model was used to evaluate the bench blasting effect in Hongshuitai flat engineering. The evaluation results show that: the information entropy and confidence identifying criterion were respectively used to ascertain the evaluation index weight and identifying criterion, by these ways, the evaluation results of this model are more objective; and the evaluation index can be selected flexibly according to actual situation, the calculation of evaluation model is simple, so the evaluation results can offer decision basis for blasting workers to make timely adjustment of the blasting scheme.

Abstract: The article compares the semantic content of the term “electron” given in high school courses of Chemistry and Physics. It shows that the information volume of the term “electron” in the Chemistry course is substantially bigger than the volume of the same term in the course of Physics. The article offers recommendations on optimizing the content of the Chemistry course in order to avoid overloading the students.

Abstract: This paper analyzed the basic teaching requirements and methods of chemical engineering principles course, discussed the importance of course construction and teaching material construction, mainly expounded the implementation way of comprehensive improving teaching quality.

Abstract: The present article shows the results of comparing the connectedness between the high school courses of Physics and Chemistry. The calculation of connectedness has been conducted within a graph model of inter-subject links developed by Gnitetskaya Tatyana N. The inter-subject space of the Physics and Chemistry courses is based on this model. The quantitative characteristics of this model are used to establish the hierarchy of physical terms used in Chemistry, and chemical terms used in Physics for all combinations of the Physics and Chemistry courses under review. Quantitative values of the connectedness between the courses of Physics and Chemistry have been calculated; they are used as foundation for selecting the courses of Physics and Chemistry based on the position of connectedness.

Abstract: Practical teaching is an important link to cultivate applied and innovative talents with high quality for chemical engineering specialty in higher education, and is the main way to improve students' engineering quality. The full range of practical teaching system has been constructed through the practice and exploration, which includes the main four modules: the experiment, the practical training, the practice and the design, and the extra-curricular practical activities as supplement. Practice has proved the system enhanced the students' comprehensive ability and quality, and cultivated students' innovative ability and engineering quality.