Multivariate Two-Sided Tests for Normal Mean Vectors Based on Approximations of Likelihood Ratio Test

Assuming that all components of a normal mean vector are simultaneously non negative or non positive, we consider a multivariate two-sided test for testing whether the normal mean vector is equal to zero or not. Since the likelihood ratio test is accompanied with theoretical and computational complications, we discuss two kinds of approximations of the likelihood ratio test. One is based on a conservative critical value determined by a certain inequality. The other is constructed by the approximation of the likelihood ratio test proposed by Tang et al. (1989). We compare the likelihood ratio test and two kinds of approximations through numerical examples regarding critical values and the power of the test.     

基于HTFWGBM算子的供应商选择模型研究

由于供应商选择中的的复杂性与不确定性以及人类认知的有限性，从而导致信息融合失真和决策结果不准确的情况。针对决策属性以犹豫三角模糊数（HTFN）给出的供应商的选择问题，本文提出一种基于HTFGWBM算子的决策算法。首先，针对犹豫三角模糊数和几何Bonferroni平均算子理论，分别定义了犹豫三角模糊几何Bonferroni平均（HTFGBM）算子和犹豫三角模糊几何加权Bonferroni平均（HTFGWBM）算子，同时分别研究了算子的幂等性，置换不变性，单调性和有界性等性质。其次，基于HTFGWBM算子构建新型犹豫多属性决策模型，结合HTFN排序方法进行备选供应商排序。最后通过算南水北调中线工程中的供应商选择实例证明了决策模型的可行性与有效性。结果表明，通过调整模型参数，模型具有一定的延展性和容错能力，能够很好的进行科学决策。     

Modelling activity times by hybrid synthetic method

Uncertain (manual) activity times impact a number of manufacturing system modules: plant and layout design, capacity analysis, operator assignment, process planning, scheduling and simulation. Direct observation cannot be used for non-existent production lines. A hybrid direct observation/synthetic method derived from Method Time Measurement available in industry is proposed. To determine accurate activity times required by heuristics and metaheuristics optimisation, manufacturing system modules are modelled by MILP and operator efficiency parameters are used for time standardisation. Among human factors considered are skill and ergonomics. Application to the sterilisation of reusable medical devices is extensively described. Experimental data taken from observation on the field and a worst-case date have shown the model direct applicability for professionals also to non-manufacturing cases.     

论各向同性谐振子能级的又一求解方法

在经典力学中的中心力场中,除了能量E和角动量L两个运动积分外,还存在着第三个运动积分,即Runge－Lenz矢量,该矢量可算符化。以各向同性谐振子为例,运用Runge－Lenz矢量简洁地求解出量子力学中另一类典型问题——谐振子的能级公式,与求解薛定谔方程的结果一致,从中可看出用Runge－Lenz矢量处理问题的简洁性。     

YAG投影管屏锥封接的原理与工艺

提出了利用低熔点玻璃进行ＹＡＧ投影管的ＹＡＧ屏与玻璃锥体封接的思想：分析了该封接工艺中材料膨胀系数的匹配、浸润性以及再结晶等问题;简要介绍了所用低熔点玻璃的物化性质,以及包括低熔点左玻璃膏剂调制、涂覆和焙烧在内的具体工艺规范。结果证实该封接性能良好,实现了ＹＡＧ投影管全玻结构的技术飞跃。     

Bounds to Memory Loss

If we express our knowledge in sentences, we will find that these sentences are linked in complex patterns governed by our observations and our inferences from these observations. These inferences are to a large extent driven by logical rules. We ask whether the structure logic imposes on our knowledge restricts what we forget and what we remember. The model is a two period S5 logic. In this logic, we propose a memory loss operator: the agent forgets a sentence pif and only if he knows pat time 1 and he does not know pat time 2. Equipped with the operator, we prove theorems on the relation between knowledge and memory loss. The main results point to classes of formulas that an agent cannot forget, and classes of formulas he must forget. A desirable feature is that most results hold in the S4 logic. The results illustrate bounds to memory loss, and thus to bounded rationality. We apply the model to single-agent conventions: conventions made between an agent and himself.     

幂级数的求和公式

运用微积分算子和它们的运算性质,得出幂级数的求和公式。