Comment on “violation of Heisenberg's uncertainty relations....” by Z. Maric,K. Popper,and J.-P. Vigier

Authorship of a quote attributed to J. Hilgevoord and J. Uffink is disclaimed.     

对一般算符是否存在共同本征态问题的讨论

对任意算符不确定关系的一般表述加以定义,从而给出判断任意算符存在共同本征态的必要条件,并将其应用于非厄米算符的情形.     

The heat kernel and Hardy’s theorem on symmetric spaces of noncompact type

For symmetric spaces of noncompact type we prove an analogue of Hardy’s theorem which characterizes the heat kernel in terms of its order of magnitude and that of its Fourier transform.     

红外光学系统光谱透射比校准技术

针对红外光学系统透射比参数无法准确测量的问题,开展了红外光学系统光谱透射比测量和校准技术研究。通过对积分球法、大面积均匀源法等测量方法进行分析,研究构建了基于回返射法的红外光学系统光谱透射比校准装置,并建立了完整的光谱透射比量值溯源和量传链条。利用该装置实现了2μm～14μm波长范围的光谱透射比测量,对测量结果进行不确定度分析,结果为2%。相对于以往的透射比测量装置,该装置的测量结果具有更高的准确性和可靠性。     

海藻糖标准样品的研制

研制了海藻糖国家标准样品。以食品级海藻糖粗品为原料,纯化制备海藻糖,采用红外光谱(IR)、质谱和核磁共振谱(NMR)以及单晶衍射等方法进行结构确证。样品分装成400瓶后,采用离子色谱法进行均匀性、稳定性检验和定值分析。从样品中随机抽取15瓶进行均匀性检验,经F检验表明,在95%的置信区间范围内,样品均匀性良好。在40℃下,经过24个月稳定性考察,结果表明样品稳定性良好。标准样品经国内8家具有分析资质的实验室进行协同定值,并评定了定值结果的不确定度,海藻糖标准样品定值结果为99.72%,扩展不确定度为0.26%(k=1.96)。该标准样品达到国家标准样品的技术要求,可用于有关海藻糖的方法校正和质量控制。     

Full Bayesian analysis of claims reserving uncertainty

We revisit the gamma–gamma Bayesian chain-ladder (BCL) model for claims reserving in non-life insurance. This claims reserving model is usually used in an empirical Bayesian way using plug-in estimates for the variance parameters. The advantage of this empirical Bayesian framework is that allows us for closed form solutions. The main purpose of this paper is to develop the full Bayesian case also considering prior distributions for the variance parameters and to study the resulting sensitivities.     

A new robust DEA model and super-efficiency measure

Applications of traditional data envelopments analysis (DEA) models require knowledge of crisp input and output data. However, the real-world problems often deal with imprecise or ambiguous data. In this paper, the problem of considering uncertainty in the equality constraints is analyzed and by using the equivalent form of CCR model, a suitable robust DEA model is derived in order to analyze the efficiency of decision-making units (DMUs) under the assumption of uncertainty in both input and output spaces. The new model based on the robust optimization approach is suggested. Using the proposed model, it is possible to evaluate the efficiency of the DMUs in the presence of uncertainty in a fewer steps compared to other models. In addition, using the new proposed robust DEA model and envelopment form of CCR model, two linear robust super-efficiency models for complete ranking of DMUs are proposed. Two different case studies of different contexts are taken as numerical examples in order to compare the proposed model with other approaches. The examples also illustrate various possible applications of new models.     

A second‐order ensemble method based on a blended backward differentiation formula timestepping scheme for time‐dependent Navier–Stokes equations

We present a second‐order ensemble method based on a blended three‐step backward differentiation formula (BDF) timestepping scheme to compute an ensemble of Navier–Stokes equations. Compared with the only existing second‐order ensemble method that combines the two‐step BDF timestepping scheme and a special explicit second‐order Adams–Bashforth treatment of the advection term, this method is more accurate with nominal increase in computational cost. We give comprehensive stability and error analysis for the method. Numerical examples are also provided to verify theoretical results and demonstrate the improved accuracy of the method. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 34–61, 2017     

基于贝叶斯网络的智能故障诊断方法

首先提出了基于贝叶斯网络的智能故障诊断方法，它对于解决复杂设备诊断问题中存在的不确定性，关联性具有很大的优质。然后阐述了贝叶斯网络模型的数学描述及基于贝叶斯网络的故障诊断方法的基本思路和决策算法。最后以某型SINS／GPS组合导航系统的故障诊断应用实例说明了该方法的有效性。     

高精度光纤陀螺的分辨率测量

系统介绍了在单轴转台上测量高精度光纤陀螺分辨率的方法。该方法以GJB2426—95对光纤陀螺分辨率的定义为依据，以地球自转水平分量的余弦分量为陀螺的输入量，提出了一种正交三点寻北法。分析了光纤陀螺输出信号的特征，提出用对称测量法消除陀螺零偏并减小零漂对测量的影响。最后用IEEE推荐的测量不确定度评定方法对测量结果的不确定度进行了严格的评定。