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关键词： 高中数学   分析与解决   能力   培养  

摘要： 随着新课程改革的深入;高中数学教学越来越注重学生解决实际问题能力培养;因此;下文就对分析与解决问题能力组成以及培养策略进行了探析。

关键词： Lymphatic filariasis   Intervention strategies   Latent stage   Reproduction number  

摘要： Background: Lymphatic filariasis is a globally neglected tropical parasitic disease which affects individuals of all ages and leads to an altered lymphatic system and abnormal enlargement of body parts. Methods: A mathematical model of lymphatic filariaris with intervention strategies is developed and analyzed. Control of infections is analyzed within the model through medical treatment of infected-acute individuals and quarantine of infected-chronic individuals. Results: We derive the effective reproduction number, R-0, and its interpretation/investigation suggests that treatment contributes to a reduction in lymphatic filariasis cases faster than quarantine. However, this reduction is greater when the two intervention approaches are applied concurrently. Conclusions: Numerical simulations are carried out to monitor the dynamics of the filariasis model sub-populations for various parameter values of the associated reproduction threshold. Lastly, sensitivity analysis on key parameters that drive the disease dynamics is performed in order to identify their relative importance on the disease transmission.

关键词： mathematical quantification   melanoma   ABCD criteria  

摘要： The medical community currently employs the ABCD (asymmetry, border irregularity, color variegation, and diameter of the lesion) criteria in the early diagnosis of a malignant melanoma. Although many image segmentation and classification methods are used to analyze the ABCD criteria, it is rare to see a study containing mathematical justification of the parameters that are used to quantify the ABCD criteria. In this paper, we suggest new parameters to assess asymmetry, border irregularity, and color variegation, and explain the mathematical meaning of the parameters. The suggested parameters are then tested with 24 skin samples. The parameters suggested for the 24 skin samples are displayed in three-dimensional coordinates and are compared to those presented in other studies (Ercal et al 1994 IEEE Trans. Biomed. Eng. 41 837-45, Cheerla and Frazier 2014 Int. J. Innovative Res. Sci., Eng. Technol. 3 9164-83) in terms of Pearson correlation coefficient and classification accuracy in determining the malignancy of the lesions.

关键词： 数学素养   教学改革   数学分析   创新意识  

摘要： 为适应新形势下教育教学改革的需要,适应应用型人才的发展要求,提高数学专业类课程"数学分析"的教学质量,增强学生学习分析类专业课程的学习兴趣,培养学生较高的数学素养和创新意识,分析类课程组教师进行积极探索,提出了在新形势下"数学分析"课程教学改革的一些具体做法,并通过具体事例加以说明.

关键词： 对称矩阵   正交变换   压缩映射原理   线性方程组  

摘要： 数学分析与高等代数中的理论及相关问题是不同的,所讨论的问题以及解决方法不尽相同,但二者之间又有着密切的联系。本文通过实例论述数学分析与高等代数有关问题的相互渗透和融合,给出一个用泛函分析方法处理线性代数问题的实例。

关键词： 央视新闻   融合发展   矩阵   数学分析   移动通信网   移动网   新闻直播  

摘要： 2016年2月19日,习近平总书记在视察中央电视台时提出:'媒体融合非常重要,是下一步的工作方向'。今年2月19日,央视新闻倾力打造的移动融媒体新闻平台——央视新闻移动网正式上线,标志着国家电视台媒体深度融合、一体发展迈上了新台阶。一、移动为先,抢占融合发展制高点央视新闻从2012年正式启动新媒体业务,在四年多的实践中,依托自身优势,以电视和新媒体的良性互动为出发点,做大做强微博、微信、客户端。

关键词： 孙子兵法   谋略思想   数学分析课堂  

摘要： 针对"数学分析"课程教学中存在的问题,将孙子兵法谋略思想应用其中进行创新型教学。课前做到"知己知彼";知识讲解时,做到孙子兵法思想融入数学分析知识;教学方法、平台和语言上做到"以奇胜"。通过以上方法,实现孙子兵法谋略思想与课堂的对接与融合,达到提升课堂教学效果的目的。

关键词： Genetic algorithms   Ternary crossover   Mutation   Schema   Schema survival  

摘要： The concept of schema plays a vital role in the study of genetic algorithms. The effect of selection, simple crossover and mutation on schemata has already been studied rigorously by several researchers. In this paper a novel ternary crossover operator is introduced and its effects on the probability of survival of a schema are meticulously analyzed. A theorem regarding the effect of novel crossover operator on survival of schemata is proved and based on that the combined effect of novel crossover and mutation on probability of survival of a schema is established mathematically. (C) 2016 Elsevier B.V. All rights reserved.