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1)  Latin cube
拉丁立方
1.
A proof of a method of constructing mutually orthogonal Latin cube of odd order;
奇N阶三重正交拉丁立方构造方法的论证
2.
Latin cube and relative definitions by extending the corresponding ones of Latin square are introduced.
对拉丁方的概念进行推广,把构成拉丁方的二维矩阵提升到三维,引入了拉丁立方及相关概念;并给出了进行n 阶规范拉丁立方的计数与合痕分类的算法;利用此算法,得出1 至5 阶规范拉丁立方的数目及其合痕类类
3.
Searching the method of constructing triple mutually orthogonal Latin cubes of odd order is carried out by the author of this paper.
介绍了奇 n阶三重正交拉丁立方的构造方法 ,并利用所述的方法构造出 1 3阶三重正交拉丁立方
2)  Latin Hypercube Sampling
拉丁超立方
1.
Taguchi method was used to select the most important factors of multistage forging process and a kind of random sampling method,Latin hypercube sampling was applied to design and execute the numerical simulation experiment.
利用Taguchi方法对多工位锻造工艺参数进行显著性筛选,采用随机抽样的拉丁超立方(LHS)设计并进行数值模拟实验,运用最小二乘法(LS)和移动最小二乘法(MLS)建立抽样点的响应面模型,应用遗传算法进行迭代优化,并对2种建模方法加以对比。
3)  Latin Hypercube Sampling
拉丁超立方抽样
1.
Both Simple Random Sampling and Latin Hypercube Sampling were applied to simulate the model of the soil retardation factor of the herbicide mefenacet by Monte Carlo method.
采用简单随机抽样和拉丁超立方抽样两种不同方法对除草剂苯噻草胺的土壤滞留因子模型进行蒙特卡洛模拟 。
2.
Three methods for designing the experiments such as ‘Orthogonal’,‘uniform’ and ‘Latin hypercube sampling’ were discussed.
讨论了正交试验设计、均匀设计、拉丁超立方设计等三种试验设计方法,并根据抽样数据的特点和不同抽样方法的要求,提出将拉丁超立方抽样法与对偶变数方差缩减技术相结合用于弹道仿真分析,建立了射击精度与制导工具误差系数的简明函数关系式,实现了对制导工具误差的有效评价。
3.
A metamodel of low-power integrated operational amplifier is constructed using the Kriging interpolation combined with Latin hypercube sampling experiment.
本文将Kriging插值和拉丁超立方抽样试验相结合构造了低功耗集成运算放大器的元模型。
4)  Latin hypercube sampling
拉丁超立方采样
1.
In this paper,the seismic vulnerability of multistory dwelling brick buildings designed according to the current codes is analyzed by Latin hypercube sampling technique and nonlinear seismic time history response analysis.
本文采用概率方法借助于拉丁超立方采样技术和非线性地震反应时程分析对按现行规范设计的多层住宅砖房的地震易损性进行分析,并与按上一代规范设计的多层住宅砖房的地震易损性分析结果[1]进行了比较,为进一步研究这类结构的地震安全性、未来地震的损失预测以及防震减灾对策奠定基础。
2.
This paper analyzes the seismic vulnerability of multistory dwelling brick buildings by Latin Hypercube Sampling technique and nonlinear seismic time history response analysis.
本文采用概率方法借助于拉丁超立方采样技术和非线性地震反应时程分析对多层住宅砖房的地震易损性进行分析。
3.
An effective sampling method,Latin hypercube sampling,is integrated into the probabilistic load flow calculation to increase the sampling efficiency of Monte Carlo simulation by improving the sample values coverage of random variables input spaces.
文中提出了用拉丁超立方采样和Gram-Schmidt序列正交化方法改善采样值对输入随机变量的分布空间的覆盖程度、提高采样效率的计算方法,并应用于概率潮流计算中。
5)  Latin hypercube
拉丁超立方体
1.
The application results of the improved algorithm are verified by searching Latin hypercube optimal design of varying scales under different optimization criteria.
通过不同规模和不同优化准则的拉丁超立方体最优实验设计,验证改进算法的应用效果。
6)  mutually orthogonal latin cube
正交拉丁立方
1.
On the base of magic squares constructions research of odd order a method of constructing magic cubes and mutually orthogonal latin cubes of odd order is discovered.
在奇 n阶幻方构造研究的基础上 ,发现了奇 n阶幻立方和正交拉丁立方的构造方法。
补充资料:Hilbert立方体


Hilbert立方体
Hflbert cube

s沁口目s脚止)).这是一个内容丰富成果丰硕的研究领域. 【AI]中有绝好的介绍及参考文献.1翻卜时立方体〔f口加时。谕.;几几诵epT佃二.钾.,l HIIb叮空间(托1饮成sP别笼)l:的子空间,它的点x一(xl,xZ,…)满足条件0‘x,‘(合)一,,2,·…Hilbert立方体是一个紧统(印代甲aCtllnl),拓扑等价(同胚)于可数多个区间的T叮oHoB积,即毛盯OHo.立方体(T泪如加v CUbe)I从。.这是具有可数基的度量空间类中的万有空间(u苗记岛沮sp即笼)(yP“coH摩粤化定理(Ul笋ohnn毖tri皿山nd笙幻reln)). B .A.nac卜川劝B撰【补注】到山比d立方体的拓扑结构是在无穷维拓扑这一领域内得到研究的(见无穷维空间(而丽记~dinrn-
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