激光模场传递矩阵分析方法的精度控制

讨论激光模场的传递矩阵分析法,并对计算精度进行控制.结果表明,传递矩阵分析方法与传统的积分数值迭代法计算结果一致,只要合理控制计算精度,可以解决积分数值迭代法难于收敛的问题,满足激光谐振腔模场分析的实际要求.     

FORTRAN语言双精度运算的扩展应用

本文利用ＦＯＲＴＲＡＮ语言中不同类型变量的性质及数运算的特点，讨论了一种能将双精度实数运算扩展到整数运算中的方法，使整数运算也能得到接近双精度实数所具有的有效位数的整型结果。     

一种四元超短基线阵实现高精度定位

由于超短基线自身尺寸较小,随着作用距离增加,其定位误差增大。对此,本文在阵元数较小的情况下,通过优化阵型形成间距不等的四元阵来提高系统定位精度。该阵型既减少了已有八元阵的冗余阵元,也不需要发射端发送跳频信号。本文给出了新阵型的相位补偿公式以及所适用频带的理论分析。理论分析和数值仿真表明:本文所述新阵型与已有的八元阵定位精度相当。可为改善超短基线定位精度提供一些参考。     

Asymptotic distribution of the increase of the largest canonical correlation when one of the vectors is augmented

Let r₁ > r₂ > … be the sample canonical correlations in a sample of size n from a multivariate normal population partitioned into two subvectors with population canonical correlations ₁ > ₂ > …. Let one of the subvectors be augmented by adding one or more variables to it. For the increase in the largest canonical correlation, Δr in the sample and Δ in the population, it is shown that √n(Δr − Δ) → ^DN(0, σ²) and a formula for σ² is derived.     

XH-1装置电感储能系统的电路模拟

针对XH-1装置电感储能系统,建立了电爆炸断路开关基于开关电阻倍增比与比能关系的电路模型,给出了与电感储能系统耦合时,利用PSPICE模拟计算得到的开关上的电流电压波形和负载上的电压波形,分析了负载阻抗参数对输出脉冲的影响。     

Estimation of the Multivariate Normal Precision Matrix under the Entropy Loss

Let X ₁, , X _n (n > p) be a random sample from multivariate normal distribution N _p (, ), where R ^p and is a positive definite matrix, both and being unknown. We consider the problem of estimating the precision matrix ^–1. In this paper it is shown that for the entropy loss, the best lower-triangular affine equivariant minimax estimator of ^–1 is inadmissible and an improved estimator is explicitly constructed. Note that our improved estimator is obtained from the class of lower-triangular scale equivariant estimators.     

On the Law of The Iterated Logarithm for Rapidly Increasing Subsequences

The usual law of the iterated logarithm states that the partial sums S_n of independent and identically distributed random variables can be normalized by the sequence a_n = √nlog log n, such that limsup_n→∞ S_n/a_n = √2 a.s. As has been pointed out by Gut (1986) the law fails if one considers the limsup along subsequences which increase faster than exponentially. In particular, for very rapidly increasing subsequences {n_k≥1} one has limsup_k→∞ S_nk/a_nk = 0 a.s. In these cases the normalizing constants a_nk have to be replaced by √nk log k to obtain a non-trivial limiting behaviour: limsup_k→∞ S_nk/ √nk log k = √2 a.s. We will present an intelligible argument for this structural change and apply it to related results.     

土壤中易解析硫化物的解析条件研究

探索了在以磷酸为酸化剂条件下的实验条件,包括还原剂的添加、酸浓度选择的计算、系统的精密度、准确度的统计,目的是为土壤中硫化物的检出提供借鉴和参考。在以三种土壤为实验样本的实验中,对比磷酸、盐酸、硫酸为酸化剂的检出结果,添加20mL磷酸、1.5g乙二胺四乙酸二钠、0.25g抗坏血酸的检出结果和以硫酸为酸化剂的检出结果比较接近,同样酸度条件下添加抗氧化剂后的检出值和实际样品加标回收率都有提高。三种土壤的相对标准偏差分别是5.6%、6.1%、10.1%,样品加标回收率分别是77.8%、81.9%、64.4%。系统可以完成对部分金属硫化物、易溶硫化物完全解析,且不会因为氧化还原反应造成对S2-的正负误差。     

A study of the precision and accuracy of peak quantification in comprehensive two-dimensional liquid chromatography in time

Simulated chromatographic data were used to determine the precision and accuracy in the estimation of peak volumes (i.e., peak sizes) in comprehensive two-dimensional liquid chromatography in time (LC × LC). Peak volumes were determined both by summing the areas in the second dimension chromatograms and by fitting the second dimension areas to a Gaussian peak. The Gaussian method is better at predicting the peak volume than the moments method provided there are at least three second dimension injections above the limit of detection (LOD). However, when only two of the second dimension signals are substantially above baseline, the accuracy and precision of the Gaussian fit method become quite poor because the results from the fitting algorithm become indeterminate. Based on simulations in which the modulation ratio (M_R = 4¹σ/t_s) and sampling phase (?) were varied, we conclude for well-resolved peaks that the optimum precision in peak volumes in 2D separations will be obtained when the M_R is between two and five, such that there are typically four to ten second dimension peaks recorded over the eight σ width of the first dimension peak. This sampling rate is similar to that suggested by the Murphy–Schure–Foley criterion. This provides an RSD of approximately 2% for the signal-to-noise ratio used in the present simulations. The precision of the peak volume of experimental data was also assessed, and RSD values were in the range of 4–5%. We conclude that the poorer precision found in the LC × LC experimental data as compared to LC may be due to experimental imprecision in sampling the effluent from the first dimension column.     

The Structure–Property Correlations in the Isomerism of Au21(SR)15 Nanoclusters by Density Functional Theory Study

Isomerism of atomically precise noble metal nanoclusters provides an excellent platform to investigate the structure–property correlations of metal nanomaterials. In this study, we performed density functional theory (DFT) and time‐dependent (TD‐DFT) calculations on two Au₂₁(SR)₁₅ nanoclusters, one with a hexagonal closed packed core (denoted as Au₂₁ ^hcp ), and the other one with a face‐centered cubic core (denoted as Au₂₁ ^fcc ). The structural and electronic analysis on the typical Au–Au and Au–S bond distances, bond orders, composition of the frontier orbitals and the origin of optical absorptions shed light on the inherent correlations between these two clusters.