f 壳层耦合态的完全分类与准旋标量算符本征值

本文用二次量子化方法,对l壳层引进准旋、自旋、轨道为(1/2,1/2,l)阶不可约张量的产生-湮灭算符b_(qsm)~(1/2 1/2 t),由4个这种算符按下式耦合成准旋、自旋、轨道标量算符, (?)Y (K_1,k_2,k_3) 与准旋、自旋、轨道算符对易,可用于对耦合态进一步分类。利用Y(k_1,k_2,k_3)与准旋、自旋、轨道算符的适当结合,本文给出了对f壳层完全分类的算符(组),给出了与G.Racah对f壳层分类一致的算符组。     

离散 Hartley 变换的 MIMD 并行算法

本文把长为N=N_1N_2(N_1为奇数)的离散Hartley变换(DHT)分解成N_1个长N_2的DHT及一些附加运算,附加运算也可以变成N_2个长N_1的DHT。由此得到计算它的一种MIMD并行算法,若用N_1台处理机并行计算,只需(?)个乘法步和(?)个加法步,这里M(N_2)和A(N_2)分别表示计算一个长N_2的DHT所需的乘法数及加法数。并行机的有效利用率接近于1。     

No Sequences 互相关函数值的分配

讨论了ＮｏＳｅｑｕｅｎｃｅｓ的互相关特性,证明了ＮｏＳｅｑｕｅｎｃｅｓ的互相关函数一定取集合｛２~ｎ－１,－２~ｍ－１,－１,２~ｍ－１｝中的每一个值,并且给出它们各自的分配。     

3-甲氧基-4-羟基苯甲醛肟的合成

以香兰素、盐酸羟胺和强碱为原料 ,制备出了 3 甲氧基 4 羟基苯甲醛肟。影响合成反应过程的因素有 :温度、试剂的加入顺序、不同的强碱及三种原料的摩尔比。正交实验后三种原料的最佳摩尔比为 1:1 2 :1 1,产物的产率达 97 4 %。文中还对不同酸碱度条件下的此反应机理进行了探讨。通过反应产物熔点的测定及其IR、1HNMR、TIC MS等的分析 ,确证了合成产物     

聚亚苯基硼的合成及表征研究

用改进的有机金属路线合成了聚对亚苯基硼和聚间亚苯基硼。聚对亚苯基硼的分子量（Ｍｎ）为７８３．６６,结构为（１）（可溶于乙醚,苯环为对位取代）和（２）（不溶于乙醚,苯环对位取代）;聚间亚苯基硼的Ｍｎ为８７６．５６,结构为（１）（可溶于乙醚,苯环间位取代）和（２）（不溶于乙醚,苯环间位取代）。     

1,4-双(氯甲基)-2-甲氧基-5-烷氧基苯的合成研究

用Ⅰ（ｎ＝２,４,７,８）的氯甲基化反应合成出相应的四种氯甲基化产物Ⅱ（ｎ＝２,４,７,８）,讨论了反应条件对产率的影响,产物结构由ＩＲ和１ＨＮＭＲ确定,并讨论了反应机理。ＣＨ３ＯＯ（ＣＨ２）ｎＨ（Ⅰ）ＣＨ３ＯＣＨ２Ｃ１Ｏ（ＣＨ２）ｎＨＣＨ２Ｃ１（Ⅱ     

"道尔-M1"武器系统对F-117的拦截可能性分析

对美国F 1 1 7隐身飞机和俄罗斯“道尔 M1”防空导弹武器系统进行了简单介绍 ,对“道尔 M1”拦截F 1 1 7的可能性进行了计算分析 ,结果表明“道尔 M1”可以对F 1 1 7进行拦截 ,并根据计算结果提出了“道尔 M1”对F 1 1 7进行拦截的最佳作战方式     

Sol-gel法制备纳米TiO_2凝胶过程的控制

以钛酸四丁酯为前驱物,采用溶胶-凝胶法制备TiO2凝胶。通过改变各原料的配比和实验条件对凝胶过程中的作用机理进行了探究。结果表明:当无水乙醇与钛酸四丁酯的摩尔比为12:1,蒸馏水与钛酸四丁酯的摩尔比为3:1,抑制剂与钛酸四丁酯的摩尔比为1:1～2:1,pH=2,最适水解温度为25℃时,制得了稳定的二氧化钛凝胶。     

基于芘丁醇的光学压敏涂料氧猝灭特性

以芘丁醇为原料制备的光学压敏涂料作为研究对象,采用荧光分光光度计测定了它们的荧光特性,考察不同激发光波长下压敏涂料的荧光特性及氧猝灭系数。结果表明：以芘丁醇为原料制备的压敏涂料的氧猝灭效果明显,其氧猝灭系数高达55％。涂料的荧光特性受激发光波长的影响很大,就同一受激态发射区464nm峰而言,用290nm的激发光比用364nm的激发光的氧猝灭率高出21．3％。     

苯乙炔与二苯丁二炔的共聚及共聚物的表征

本文以(Ph_3P)_2PdCl_2作催化剂,合成出聚二苯丁二炔和二苯丁二炔与苯乙炔共聚物。均聚物及共聚物产率都在90%以上,均聚物分子量为900,二苯丁二炔与苯乙炔最佳摩尔比为1/2(数均分子量为1205)。结构分析表明,均聚物及共聚物均具有反—反式结构。     

组合激光作用下CdS探测器破坏阈值实验研究

采用组合激光(即响应波段内532nm激光和响应波段外1319nm激光)对光导型CdS探测器进行辐照,测量了CdS探测器的破坏阈值。当1319nm激光辐照功率密度保持不变时,波段内激光的加入明显缩短了CdS探测器被破坏时激光所需的辐照时间,并且随着532nm激光功率密度的不断增大,辐照时间先减少后增加;当1319nm激光辐照时间保持不变时,随着532nm激光功率密度的增大,CdS探测器被破坏所需的1319nm激光功率密度先减小后增大,但恢复值仍比没有532nm激光加入时要小,说明了波段内激光的增强作用。上述两种变化趋势与相同条件下探测器的电压响应变化规律一致。     

Predicting older-donor kidneys' post-transplant renal function using pre-transplant data

This paper provides a methodology for predicting post-transplant kidney function, that is, the 1-year post-transplant estimated Glomerular Filtration Rate (eGFR-1) for each donor-candidate pair. We apply customized machine-learning algorithms to pre-transplant donor and recipient data to determine the probability of achieving an eGFR-1 of at least 30 ml/min. This threshold was chosen because there is insufficient survival benefit if the kidney fails to generate an eGFR-1 ≥ 30 ml/min. For some donor-candidate pairs, the developed algorithm provides highly accurate predictions. For others, limitations of previous transplants' data results in noisier predictions. However, because the same kidney is offered to many candidates, we identify those pairs for whom the predictions are highly accurate. Out of 6977 discarded older-donor kidneys that were a match with at least one transplanted kidney, 5282 had one or more identified candidate, who were offered that kidney, did not accept any other offer, and would have had ≥80% chance of achieving eGFR-1 ≥ 30 ml/min, had the kidney been transplanted. We also show that transplants with ≥80% chance of achieving eGFR-1 ≥ 30 ml/min and that survive 1 year have higher 10-year death-censored graft survival probabilities than all older-donor transplants that survive 1 year (73.61% vs. 70.48%, respectively).     

Confidence intervals for ranked means

Suppose that observations from populations π₁, …, π_k (k ≥ 1) are normally distributed with unknown means μ₁., μ_k, respectively, and a common known variance σ². Let μ_[1] μ … ≤ μ_[k] denote the ranked means. We take n independent observations from each population, denote the sample mean of the n observation from π₁ by X _i (i = 1, …, k), and define the ranked sample means X _[1] ≤ … ≤ X _[k]. The problem of confidence interval estimation of μ₍₁₎, …,μ_[k] is stated and related to previous work (Section 1). The following results are obtained (Section 2). For i = 1, …, k and any γ(0 < γ < 1) an upper confidence interval for μ_[i] with minimal probability of coverage γ is (? ∞, X _[i]+ h) with h = (σ/n^1/2) Φ^?1(γ^1/k-i+1), where Φ(·) is the standard normal cdf. A lower confidence interval for μ_[i] with minimal probability of coverage γ is (X _i[i] – g, + ∞) with g = (σ/n^1/2) Φ^?1(γ^1/i). For the upper confidence interval on μ_[i] the maximal probability of coverage is 1– [1 – γ^1/k-i+1]ⁱ, while for the lower confidence interval on μ_[i] the maximal probability of coverage is 1–[1– γ^1/i] ^k-i+¹. Thus the maximal overprotection can always be calculated. The overprotection is tabled for k = 2, 3. These results extend to certain translation parameter families. It is proven that, under a bounded completeness condition, a monotone upper confidence interval h(X ₁, …, X _k) for μ_[i] with probability of coverage γ(0 < γ < 1) for all μ = (μ_[1], …,μ_[k]), does not exist.     

广义Fibonacci数列的通项及性质

著名的Fibonacci数列有许多通项表达式和性质。利用数学归纳法和特征方程求根的方法对广义Fibonacci数列Rn 1=uRn vRn-1,R0=a,R1=b进行研究,得到了两个通项表达式和一个性质.     

一类生化反应动力系统的极限环

研究生化反应中一类饱和反应的数学模型dxdt =a1 -xy a2 y2dydt=a3 xy-a2 y2 - vyy b应用微分方程定性理论 ,完整地解决了该系统极限环的存在性、唯一性和不存在性等问题。     

(0, 1) hyperbolic programming problems

In the first part of this paper we study the unconstrained {0, 1} hyperbolic programming problem treated in [1]. We describe a new algorithm for this problem which produces an optimal solution by scanning just once the set of fractions to be analysed. This algorithm shows better computing performance than the one described in [1]. In the second part we study the {0, 1} hyperbolic programming problem with constraints given by inequalities on nondeereasing pseudo-boolean functions. We describe a “branch and bound” type algorithm for this problem.     

C2有理插值样条曲线曲面

首先提出一组基函数向量,它具有以下特定的性质：ＢＢ（０）Ｔ＝（０．０,１．０,０．０,０．０）,ＢＢ（１）Ｔ＝（０．０,０．０,１．０,０．０）ＢＢ＇（０）Ｔ＝（－０．５,０．０,０．５,０．０）,ＢＢ＇（１）Ｔ＝（０．０,－０．５,０．０,０．５）ＢＢ″（０）Ｔ＝－（１．０,－２．０,１,０,０．０）,ＢＢ″（１）Ｔ＝（０．０,１．０,－２．０．１．０）。进而研究了以此函数向量的张量积形式定义的有理样条曲面。并得以下结论：（１）插值性;（２）Ｃ２连续性;（３）局部性和可调性。文中还分析了“权”的作用,并指出它与三次Ｂ－样条的类似性。     

GKD-l RRC 机器人控制器与力反馈顺应控制研究

GKD-1 RRC是为开展机器人力反馈顺应控制的研究而设计的新型机器人实时控制器。本文介绍了它的主要性能、特点,并对用它在PUMA 562机械手上完成的几个典型的力/位置混合控制实验及其控制策略、实验结果进行了说明。实验表明,以GKD-1 RRC为核心的机器人力控制系统,控制周期仅为4.88ms,力控制稳态误差平均小于100g,位置控制精度不低于机械手原有水平,证明GKD-1 RRC控制器性能优越。     

Laplace分布的均值被半序约束时的极大似然估计

讨论了Laplaoe分布中,方差已知的情况下,均值θ在简单半序约束下的最小L_1保序回归(ML_1IR),就最小L_1保序回归的唯一性以及一些其它性质予以了讨论,并且给出了计算方法。     

A basically poisson queue with nonpoisson output

The output of the queueing system M/M/1 is well known to be Poisson. This has also been shown to be true for other more general models inclusive of M/M_n/1; the system in which arrivals and epochs of service completion are elements of a birth and death process with parameters Λ and nμ, respectively, when the system contains n ≥ 1 customers. We shall here show that this result is not true in M_nM/1; a system where arrival parameter is state dependent quantity Λ/n+1. Expressions will be given for the steady state joint density of two consecutive output intervals as well as the coefficient of correlation between them.