In this paper, we study the sequential convergence in E-direct sums E（X） where X is an Ω-ofamily of Banach spaces and discuss the lifting of the Kadec-Klee property from X to E（X）.
In this paper, we consider a general quasi-differential expressions t1,t2 Tn, each of order n with complex coefficients and their formal adjoints are t1＋,t2＋- x＋ on [0, b） respectively. We show in the direct sum s...In this paper, we consider a general quasi-differential expressions t1,t2 Tn, each of order n with complex coefficients and their formal adjoints are t1＋,t2＋- x＋ on [0, b） respectively. We show in the direct sum spaces LZ（Ip）, p = 1,2 N of functions defined on each of the separate intervals with the case of one singular end-points and under suitable conditions on the function F that all solutions of the product quasi-integro differential equations are bounded and LZw -bounded on [0,b）.展开更多
This article mainly discusses the direct sum decomposition of type G_2 Lie algebra, which, under such decomposition, is decomposed into a type A_1 simple Lie algebra and one of its modules. Four theorems are given to ...This article mainly discusses the direct sum decomposition of type G_2 Lie algebra, which, under such decomposition, is decomposed into a type A_1 simple Lie algebra and one of its modules. Four theorems are given to describe this module,which could be the direct sum of two or three irreducible modules, or the direct sum of weight modules and trivial modules, or the highest weight module.展开更多
In this paper, we consider a class of the infinitely differentiable functions with compact support on R2 , and give a kind of its direct sum decomposition.
分布式相参雷达在抗干扰和目标探测性能方面具有明显优势,但分布式构型带来的栅瓣问题给目标到达方向(direction of arrival,DOA)估计带来很大的困难。在均匀分布式相参阵列的基础上,拓展和差波束形成(sum and difference beamforming,S...分布式相参雷达在抗干扰和目标探测性能方面具有明显优势,但分布式构型带来的栅瓣问题给目标到达方向(direction of arrival,DOA)估计带来很大的困难。在均匀分布式相参阵列的基础上,拓展和差波束形成(sum and difference beamforming,SDB)方法至分布式阵列的栅瓣区域,并采用双指向法分析鉴角曲线(angular response curve,ARC)特性,提出一种基于多载频自适应SDB(multi-frequency adaptive SDB,MF-ASDB)的解模糊测角方法。该方法在不同频点下利用密集栅瓣辅助扫描检测,通过ASDB方法计算模糊主值后,将其拓展得到包含目标真实角度的DOA模糊值;根据频率与栅瓣周期之间的角度偏移关系,使用最小二乘方法实现DOA解模糊。仿真结果验证了所提方法的有效性。展开更多
Statistical regression models are input-oriented estimation models that account for observation errors. On the other hand, an output-oriented possibility regression model that accounts for system fluctuations is propo...Statistical regression models are input-oriented estimation models that account for observation errors. On the other hand, an output-oriented possibility regression model that accounts for system fluctuations is proposed. Furthermore, the possibility Markov chain is proposed, which has a disidentifiable state (posterior) and a nondiscriminable state (prior). In this paper, we first take up the entity efficiency evaluation problem as a case study of the posterior non-discriminable production possibility region and mention Fuzzy DEA with fuzzy constraints. Next, the case study of the ex-ante non-discriminable event setting is discussed. Finally, we introduce the measure of the fuzzy number and the equality relation and attempt to model the possibility Markov chain mathematically. Furthermore, we show that under ergodic conditions, the direct sum state can be decomposed and reintegrated using fuzzy OR logic. We had already constructed the Possibility Markov process based on the indifferent state of this world. In this paper, we try to extend it to the indifferent event in another world. It should be noted that we can obtain the possibility transfer matrix by full use of possibility theory.展开更多
文摘In this paper, we study the sequential convergence in E-direct sums E（X） where X is an Ω-ofamily of Banach spaces and discuss the lifting of the Kadec-Klee property from X to E（X）.
文摘In this paper, we consider a general quasi-differential expressions t1,t2 Tn, each of order n with complex coefficients and their formal adjoints are t1＋,t2＋- x＋ on [0, b） respectively. We show in the direct sum spaces LZ（Ip）, p = 1,2 N of functions defined on each of the separate intervals with the case of one singular end-points and under suitable conditions on the function F that all solutions of the product quasi-integro differential equations are bounded and LZw -bounded on [0,b）.
基金The CLRPF(17pzxmyb10) of Guangdong Peizheng College
文摘This article mainly discusses the direct sum decomposition of type G_2 Lie algebra, which, under such decomposition, is decomposed into a type A_1 simple Lie algebra and one of its modules. Four theorems are given to describe this module,which could be the direct sum of two or three irreducible modules, or the direct sum of weight modules and trivial modules, or the highest weight module.
基金supported by National Natural Science Foundation of China (11161030)
文摘In this paper, we consider a class of the infinitely differentiable functions with compact support on R2 , and give a kind of its direct sum decomposition.
文摘针对具有星间链路(inter-satellite links,ISL)的低轨(low earth orbit,LEO)多卫星系统,提出了一种基于多卫星协作传输的和速率(sum rate,SR)最大化预编码算法.传统的预编码算法需要复杂的星上计算来得到数值解,这导致低轨卫星系统面临较大的计算开销和延迟问题.为解决上述关键问题,设计了一种基于交替方向乘子法(alternating direction method of multipliers,ADMM)的高吞吐量、低复杂度、具有闭式解的分布式预编码算法.该算法通过构建辅助变量和问题分解,将预编码设计问题转化为多个子问题并行求解,每个子问题仅有一个约束条件,并在每次迭代后仅通过星间链路交换设计的数据矩阵,从而有效实现分布式预编码.仿真结果表明,与典型的两步和速率最大化算法相比,所提出的算法可以实现更高的和速率,同时大幅降低计算复杂度.
文摘分布式相参雷达在抗干扰和目标探测性能方面具有明显优势,但分布式构型带来的栅瓣问题给目标到达方向(direction of arrival,DOA)估计带来很大的困难。在均匀分布式相参阵列的基础上,拓展和差波束形成(sum and difference beamforming,SDB)方法至分布式阵列的栅瓣区域,并采用双指向法分析鉴角曲线(angular response curve,ARC)特性,提出一种基于多载频自适应SDB(multi-frequency adaptive SDB,MF-ASDB)的解模糊测角方法。该方法在不同频点下利用密集栅瓣辅助扫描检测,通过ASDB方法计算模糊主值后,将其拓展得到包含目标真实角度的DOA模糊值;根据频率与栅瓣周期之间的角度偏移关系,使用最小二乘方法实现DOA解模糊。仿真结果验证了所提方法的有效性。
文摘Statistical regression models are input-oriented estimation models that account for observation errors. On the other hand, an output-oriented possibility regression model that accounts for system fluctuations is proposed. Furthermore, the possibility Markov chain is proposed, which has a disidentifiable state (posterior) and a nondiscriminable state (prior). In this paper, we first take up the entity efficiency evaluation problem as a case study of the posterior non-discriminable production possibility region and mention Fuzzy DEA with fuzzy constraints. Next, the case study of the ex-ante non-discriminable event setting is discussed. Finally, we introduce the measure of the fuzzy number and the equality relation and attempt to model the possibility Markov chain mathematically. Furthermore, we show that under ergodic conditions, the direct sum state can be decomposed and reintegrated using fuzzy OR logic. We had already constructed the Possibility Markov process based on the indifferent state of this world. In this paper, we try to extend it to the indifferent event in another world. It should be noted that we can obtain the possibility transfer matrix by full use of possibility theory.
