l壳层状态的QSL分类与耦合波函数的计算

本文从准旋、自旋、轨道角动量算符的二次量子化形式出发,讨论了l壳层状态的QSL分类,推导了QSL分类的递推公式并给出了p,d,f壳层的分类结果。应用计算单体、二体算符矩阵元的Slater-Condon规则和解线代数本征值问题子程序,编制了计算l壳层QSL耦合波函数的计算程序,在VAX-11/730机上,对p-壳层和d-壳层共约需半分钟,对f-壳层约需24分钟。     

非常余维数的未定向协边子群

本文在如下情况:(1)取定P(1≤P≤8),设K_i=8l_i P(i=1,…,l),k_2>9/4(k_1-1)>O;(2)取定整数q(l≤q≤4)式,设k_1=4t_1 q(i=1,…,l),k_2>5/2(k_1-1)>0满足时,决定了一些非常非常余维数的未定向协边子群J_n~(k_1…k_l).     

一类差分方程的三点边值问题的正解

研究了一类离散型三点边值问题:Δ2y(k-1) a(k)f(k,y(k))=0,k∈N={1,2,…,T},Δy(0)=0,y(T 1)=βy(l),式中:f是变号的,l∈N1={2,3,…,T-1},T∈{3,4,…}。应用双锥上的不动点定理,得到了至少存在两个正解的充分条件,并给出了上述边值问题的Green函数。     

稀土(R)-铁金属间化合物中的磁相互作用

利用两格点分子场论(MFT),比较了R_nFe_m(n/m=1/3,6/23)和R_nFe_mM_k(M:类金属或其他金属;n/m/k=2/14/1;1/10/2)(即RFe_3,R_6Fe_(23),RFe_(10)V_2,RFe_(10)Mo_2,RF_(10)V_2N_x)两类化合物分子间的磁耦合系数;给出了Fe—Fe、R—R和R—Fe相互作用对居里温度的不同贡献。     

反函数的导数定理的一个注记

给出反函数的导数定理的改进形式:若f(x),x∈(a,b)与φ(y),y(A,B)互为反函数,x0∈(a,b),y0=f(x0),φ(y)在点y0处可导且φ′(y)≠0,f(x)在点x0处连续,则f(x)在点x0处可导,且f′(x0)=1/φ′(y0).并说明,f(x)在点x0处连续这一条件不可去掉。     

一类广义L-统计量的极限分布

假定(X1,Y1),(X2,Y2),…,(Xn,Yn)是取自二维随机向量(X,Y)的独立同分布样本.记X(1)≤X(2)≤…≤X(n)是X1,X2,…,Xn产生的次序统计量,Y[1],Y[2],…,Y[n]是诱导的次序统计量.讨论广义L-统计量Tn=n-1 n∑i=1 J(i/n+1)Y[i]的极限分布,式中J(x)是由实际问题的需要而选取的权函数.在较弱的条件下,证明了Tn的渐近正态性,同时给出了Tn的期望和方差的渐近公式.     

Carlitz 定理的一个注记

置换多项式一直是一个热门的研究课题,事实上,研究有限域上的置换多项式相当于研究有限域上的一一映射.所以它在编码密码、组合设计、代数曲线等许多领域有重要的应用.Carlitz曾经对一些置换多项式有一个刻画,证明了如果f(x)是一个系数在F0的多项式满足f(0)=0,f(1)=l,并且对任意a,b ∈Fq有η(f(a)-f(b))=η(a-b),这里η是Fq的乘法群Fq*的二次特征,则存在某个非负整数j使得对任意χ ∈F0,有f(x)=xpj.本文给出了这个结果的推广.     

微带平行耦合器的计算机辅助设计

本文通过对平行耦合线数学模型的分析和耦合器各参数的关系,用综合法进行了平行耦合器的计算机辅助设计程序编制。用本程序运行,当输入介质基片的参数及耦合器的性能指标后,可打印出耦合器的设计尺寸(带线宽度 W、带线间隙 S 及耦合区的长度 L_c)和主要参数(奇偶模特性阻抗 Z_(00)、Z(0e),奇偶模有效介电常数ε_(e0)、ε_(ee),奇偶模波导波长λ_(OO),λ_(Oe)以及耦合器方向性 D)。而且还可给出色散的奇偶模特性阻抗 Z_(00)(f)和 Z_(0e)(f)等。本程序计算打出的结果与用 Bryant 和 Weiss 的列线图查得的结果甚为接近,与实验的结果也较一致,有效地提高了设计效率和准确性。     

ACM805呼吸机

控制部分呼吸模式:A/C、SIMV(f/2、f/4)、SIGH、SPONT吸入氧浓度O_2％:21％～100％连续可调呼吸比(1:E)1:1、2:3、1:2、1:3、1:4、2:1潮气量(VT/):100ml～1000ml呼吸频率(f):6次/分～60次/分呼气末正压(PEEP):0kPa～2kPa触发压力(Pt):-2kPa～+2kPa     

分类的向量化算法

本文讨论在具有K台处理机的并行计算机上分类N个元素的一种并行算法,如果K=[N/2]台处理,则需要0((log_2N)~2)步,并且给出一个(1/2(log_2N)~2 1/2log_2N)步的算法。     

弧连通空间与收敛类

本文利用收敛类的理论刻划弧连空间,并得到:集合X上具有F性质的子集簇(?)确定了X的一个收敛类(?),则(?)诱导出的拓扑空间(X,(?)-(?))是弧连通的;反之,每一个弧连空间(X,(?)都可以由集合X的一个收敛类诱导出来。     

基于遗传算法的涡轮增压器叶轮优化设计

提出了一种基于遗传优化理论的涡轮增压器叶轮的优化设计方法,论述了以涡轮增压器叶轮能量损失最小为目标函数,以叶轮叶片进口角、进口直径、进口宽度、出口直径、叶片数、出口角为设计变量的涡轮增压器叶轮的优化设计模型及优化计算的方法,数值计算表明,这种算法可以方便地求得具有最小涡轮损失的涡轮叶形参数.     

Effect of projectile parameters on opening behavior of PELE penetrating RC target

When a penetrator with enhanced lateral effect (PELE) impacts on a reinforced concrete (RC) target, the target is damaged with a large opening. An understanding of how PELE projectile parameters affect the opening dimension, is essential for effective design of the PELE projectile. In this study, under the condition that the impact velocity and target parameters (strength and thickness) were fixed values, the important influence factors of the PELE (jacket wall thickness B, jacket material strength Y1, filling material strength Y2 and angle of monolithic jacketθ) were determined by a dimensional analysis. Tests and simulations of the PELE penetrating the RC target were conducted to analyze the influence of these factors on opening diameter ((D), an equivalent diameter under relative kinetic energy). Based on the test and simulation results, it is found that the influence of these factors B, Y1 andθon the deformation mode of the jacket shows a similar trend:as values of the three factors decrease, the jacket deforms from small bending deformation to large one, and then to curling deformation. This causes the opening diameter to first increase with the decrease of these three factors, and then decreases. It is well known that the bending resistance of the jacket is related to these factors B, Y1 andθ. Therefore, a plastic limit bending moment (M0) of the jacket was quoted to characterize the influence of these factors on the bending deformation of the jacket and the opening diameter of the target. The influence factor Y2 causes (D) to first increase with the increase of Y2, and then decreases. A formula was developed to predict the opening diameter, whose influence parameters were considered in a dimensionless way. It has been shown that the dimensionless opening diameter (D)/d1 is dependent on two dimensionless parameters Q = (d31fc/M0) and G = (fc/Y2), where d1 and fc are the outer diameter of the projectile and the compressive strength of the target, respectively.     

Inventory policies for a make‐to‐order system with a perishable component and fixed ordering cost

We consider a make‐to‐order production system where two major components, one nonperishable (referred to as part 1) and one perishable (part 2), are needed to fulfill a customer order. In each period, replenishment decisions for both parts need to be made jointly before demand is realized and a fixed ordering cost is incurred for the nonperishable part. We show that a simple (s_n,S,S) policy is optimal. Under this policy, S along with the number of backorders at the beginning of a period if any and the availability of the nonperishable part (part 1) determines the optimal order quantity of the perishable part (part 2), while (s_n,S) guide when and how much of part 1 to order at each state. Numerical study demonstrates that the benefits of using the joint replenishment policy can be substantial, especially when the unit costs are high and/or the profit margin is low. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

A learning tabu search for a truck allocation problem with linear and nonlinear cost components

The two‐level problem studied in this article consists of optimizing the refueling costs of a fleet of locomotives over a railway network. The goal consists of determining: (1) the number of refueling trucks contracted for each yard (truck assignment problem denoted TAP) and (2) the refueling plan of each locomotive (fuel distribution problem denoted FDP). As the FDP can be solved efficiently with existing methods, the focus is put on the TAP only. In a first version of the problem (denoted (P1)), various linear costs (e.g., fuel, fixed cost associated with each refueling, weekly operating costs of trucks) have to be minimized while satisfying a set of constraints (e.g., limited capacities of the locomotives and the trucks). In contrast with the existing literature on this problem, two types of nonlinear cost components will also be considered, based on the following ideas: (1) if several trucks from the same fuel supplier are contracted for the same yard, the supplier is likely to propose discounted prices for that yard (Problem (P2)); (2) if a train stops too often on its route, a penalty is incurred, which represents the dissatisfaction of the clients (Problem (P3)). Even if exact methods based on a mixed integer linear program formulation are available for (P1), they are not appropriate anymore to tackle (P2) and (P3). Various methods are proposed for the TAP: a descent local search, a tabu search, and a learning tabu search (LTS). The latter is a new type of local search algorithm. It involves a learning process relying on a trail system, and it can be applied to any combinatorial optimization problem. Results are reported and discussed for a large set of instances (for (P1), (P2), and (P3)), and show the good performance of LTS. © 2014 Wiley Periodicals, Inc. 62:32–45, 2015     

Implicit enumeration based algorithms for postoptimizing zero-one programs

It has been shown by G. Roodman that useful postoptimization capabilities for the 0-1 integer programming problem can be obtained from an implicit enumeration algorithm modified to classify and collect all fathomed partial solutions. This paper extends the the approach as follows: 1) Improved parameter ranging formulas are obtained by higher resolution classification criteria. 2) Parameters may be changed so as to tighten the original problem, in addition to relaxing it. 3) An efficient storage structure is presented to cope with difficult data collection task implicit in this approach. 4) Finally, computer implementation is facilitated by the elaboration of a unified set of algorithms.     

基于接收机跟踪性能的GPS压制干扰效果分析

随着抗干扰技术的发展,为了更准确地分析P(Y)码与C/A码GPS接收机的压制干扰效果,在分析现有GPS接收机压制干扰效果研究方法和评价指标的基础上,提出了一种基于接收机跟踪性能的可用于同时分析P(Y)码与C/A码GPS接收机压制干扰效果的方法.与传统的压制干扰效果研究方法相比,该方法更接近于实际试验结果.     

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。     

烧结助剂对热压SiCw/Si3N4复合材料性能的影响

本文通过热压的方法分别制得以Ｙ２Ｏ３－Ａｌ２Ｏ３和Ｙ２Ｏ３－Ｌａ２Ｏ３为烧结助剂的ＳｉＣｗ／Ｓｉ３Ｎ４陶瓷基复合材料，对比了采用不同种类及含量的烧结助剂的ＳｉＣｗ／Ｓｉ３Ｎ４复合材料的性能结果，发现烧结助剂的种类及含量对ＳｉＣｗ／Ｓｉ３Ｎ４复合材料的弯曲强度和断裂韧性有明显的影响，对高温弯曲强度的影响尤为显著。     

空间推进系统工作过程的模块化建模

建立空间推进系统仿真模块(包括液体管道模块、三通模块、充填模块、推力室模块等)的数学模型.虽然采用的是集中参数方法,但同时考虑了液体的惯性、粘性和压缩性,所以本文建立的常微分方程组能在一定程度上反映供应系统工作过程的分布特性.