F-generation law and recognition of system law

If a system is not disturbed (or invaded) by some law, there is no doubt that each system will move according to the expected law and keep stable. Although such a fact often appears, some unknown law breaks into the system and leads it into turbulence. Using function one direction S-rough sets, this article gives the concept of the F -generation law in the system, the generation model of the F -generation law and the recognition method of the system law. Function one direction singular rough sets is a new theory and method in recognizing the disturbance law existing in the system and recognizing the system law.     

Higher-order principal component pursuit via tensor approximation and convex optimization

Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit （PCP）. This paper exploits the higher-order generalization of matrix recovery, named higher-order principal component pursuit （HOPCP）, since it is critical in multi-way data analysis. Unlike the convexification （nuclear norm） for matrix rank function, the tensorial nuclear norm is stil an open problem. While existing preliminary works on the tensor completion field provide a viable way to indicate the low complexity estimate of tensor, therefore, the paper focuses on the low multi-linear rank tensor and adopt its convex relaxation to formulate the convex optimization model of HOPCP. The paper further propose two algorithms for HOPCP based on alternative minimization scheme： the augmented Lagrangian alternating direction method （ALADM） and its truncated higher-order singular value decomposition （ALADM-THOSVD） version. The former can obtain a high accuracy solution while the latter is more efficient to handle the computationally intractable problems. Experimental results on both synthetic data and real magnetic resonance imaging data show the applicability of our algorithms in high-dimensional tensor data processing.     

基于共形阵的角度和极化信息联合估计算法

针对复杂载体上共形阵列存在多极化接收和遮挡效应的问题,本文提出一种基于方向图矩阵重构导向矢量的改进极化多重信号分类(multiple signal classification, MUSIC)算法。首先对共形天线阵列进行建模,在获取各个阵元的方位和俯仰分量方向图数据后,将方向图数据分解并重构阵列的导向矢量矩阵,最后结合极化MUSIC算法进行波达方向(direction of arrival, DOA)和极化参数联合估计。相对于理论导向矢量的极化MUSIC算法,本文所提改进算法在解决了遮挡效应的同时具有更高的估计精度,并可有效降低运算量。仿真实验结果验证了这一结论。     

坐标轴正方向选取对力学问题求解的影响

在求解理论力学质点动力学问题时,因坐标系正方向的选取常常给学生带来许多困惑.通过两道典型习题,详细分析学生错解的原因,应用不同的符号法则给出正确的求解过程,对比总结出坐标系建立的一般方法及解题中关键问题.帮助学生澄清疑惑,提高规范严谨的解题能力.     

单点系泊物体长周期运动的统计研究

本文根据实测数据分析了单点系泊物体绕系泊点作360°回转的概率,统计了系泊船船向与风向的相关性。结果表明,在一般海域作360°回转的概率是很小的;船向与风向的相关系数为0.826,因此作者认为,引起360°回转的主要原因是风,实用上可以根据主风向的回转概率或风玫瑰图来推断单点系泊物体的回转概率。     

非线性约束条件下一个收敛的梯度投影法

本文提出了一个非线性约束条件下新的梯度投影方法。在较简单的假设之下,此算法是全局收敛的,且和现有的非线性约束条件下的一些梯度投影法相比较为简单。     

关于主平面方位角的一个更有效的公式

本文给出了平面应力状态下主平面方位角的一个更为有效的公式.     

中学物理教学中学生能力的量化研究(三)--从物理归纳能力的测量谈等价排除法的使用

指出了等价排除法的实施程序,并结合实例讨论了实际运用该方法时要处理的一些具体问题     

关于变压器电势方向的理论商榷

本文主要讨论了关于变压器电势的方向问题。按左螺旋定则设感应电势的正方向,可得出变压器原、副绕组的相电势(相电压)为同相位的结论。这样,较易于理解感应电势的物理性质,更重要的是这一结论和实验结果及国家标准GB1094—71相一致。     

F-干扰规律生成与特征识别

利用单向S-粗集对偶给出知识的f-干扰生成与f-干扰规律生成,单向S-粗集对偶的F-干扰生成与F-干扰规律生成的概念,基于这些概念提出了F-干扰盈余与F-干扰度关系定理、F-干扰盈余规律与F-干扰度规律关系定理、F-干扰分辨定理、F-干扰规律分辨定理,给出了F-干扰规律识别准则与应用。