关键词： “Γ”型阻抗匹配   Mathematica数学软件   计算机仿真  

摘要： 总结了传统阻抗匹配的推导方法,引入了计算机辅助计算方法和计算机虚拟仿真等现代技术,归纳出简单适用设计步骤。在计算方面简化了繁杂的公式方程推导过程,提高了计算精度。在设计的实践过程中,降低了射频电子电路的设计难度,节省了设计时间。

关键词： 数学算法   计算机   编程优化  

摘要： 借助计算机编程可满足相关应用的基本需求,保障相关计算机软件的功能发挥。但是,在实际的计算机编程中,可能会存在一些编程代码无法处理的问题,影响计算机编程的效果。研究计算机编程的优化,从优化算法入手,分析数学算法在计算机编程优化中的作用,旨在发挥数学算法的功能,提升计算机编程优化效果,推动相关程序的功能与效率提升。

关键词： 优化策略   数学算法   计算机编程   C语言  

摘要： 数学理论中最为重要的一项内容是数学算法,计算统一化对于数学的算法具有较多的要求,通常情况下都是通过归纳总结的方式来进行最终结果的获取。在计算机信息技术的不断发展之下,计算机技术能够影响着群众的生活与工作,而对于这种情况来说,想要最大程度的提升计算机编程软件系统的频率,就需要从根本上来解决计算机编程软件的问题。本文主要是从计算机编程的角度来进行研究,以此来探索数学算法优化的措施,以期能够为今后相关人员的探索提供可供参考的帮助。

关键词： 数学证明方法   算法实现   关系  

摘要： 数学证明方法与算法实现之间存在着较为密切的关系,只有应用恰当的数学证明方法,才能够更好更快地解决数学问题。文章主要分析了几种主要的数学证明方法,并陈述了其与算法实现的关系,最后提出问题的解决方法。

关键词： 形态学   小波分析法   色选算法  

摘要： 本文提出了形态小波谷物色选算法。利用数学形态学可以最大效果提取谷物中间部分的颜色与其形态特征的优势,结合小波边缘检测在边缘图像上的处理优势,解决色选机在进行谷物色选时所遇到的谷物颜色与形态特征处理方面的问题,同时对色选算法进行了优化,进一步提高了谷物色选机的色选性能。

关键词： Data sparsity   Spectral co-clustering   Tensor factorization   Collaborative filtering  

摘要： Data sparsity is one of the most important challenges in data in which each user only rates a small set of items. This problem is critical with increasing dimensions of data. We present an idea based on linear algebra and machine learning to solve this problem. This research applies a framework to cluster users and items in similar groups simultaneously. This method imputes appropriate values for missing data based on similar ratings in each cluster. This has the advantages of more accurate process results in each cluster due to users' similarity of interests, and the reduction of sparsity negative effect. This approach is represented on 3dimensional data of users, items and times. The experimental results on MovieLense datasets, show that the method can help to overcome data sparsity, and increase the accuracy of prediction. (C) 2017 Published by Elsevier B.V.

关键词： matrix bound   discrete coupled algebraic Riccati equation   eigenvalue  

摘要： In this article, applying the special properties of nonnegative matrices and symmetric matrices, we consider the coupled term as a whole and derive the solution bounds of the discrete coupled algebraic Riccati equation. This reduces the error of taking apart the coupled term separately when applying inequality techniques to get the bounds in general. Then, using Cauchy-Schwarz inequality, matrix norm inequalities and a fixed point theorem, we discuss the existence uniqueness condition and fixed point iteration for the solution of this equation. Finally, we offer corresponding numerical examples to illustrate the effectiveness of our results.

关键词： Oil-film bearing bush   Singular stress field   Tin layer   Base materials  

摘要： To explore the bonding performance of oil-film bearing, the mathematical model and algorithm on interface singular stress field of oil-film bearing bush was established. The oil-film pressure and oil-film temperature were calculated using finite difference method. The interface singular stress fields at the end of bearing under different conditions were calculated and analyzed: Babbitt alloy layer bonding to steel base with and without Tin as interlayer, and Babbitt alloy layer bonding to different steel base materials. The calculation results show that the interface with Tin generated higher stress singularity, which undermines the interface bonding performance. Among normal base materials, 40 steel could reduce the stress singularity effectively, therefore, it is relatively more suitable to be chosen as base material. Moreover, the mechanical model on bonding interface feature of test specimen was built according to GBT 12948-1991 Journal Bearing bi-metallic bonding strength destructive test method;the results validated the influence of temperature on singular stress field on interface end.