1)  fractal property
分维特征
1.
On the basis of the model and by applying time series analysis, it is discovered that the site measurement series of continuously dynamic gas emission possesses fractal property.
在此基础上,应用时序数据分析法,对实测得到的钻孔瓦斯涌出量序列进行计算分析,发现其具有分维特征
2)  Space time fractal dimension characteristics
时空分维特征
3)  fractal
分维
1.
Study on fractal feature in the process of deformation failure for floor strata;
底板岩层变形破坏过程中分维特征研究
2.
Analysis, Detection DoS-TE by LoSS and Fractal-Dimension Technology;
基于LoSS和分维技术的DoS-TE入侵检测
3.
Kinetic Monte Carlo simulation has been applied to approach the relationship between deposition rate and microstructure of Ni-Cr thin film deposited by electron beam physical vapor deposition,and fractal theory is used to characterize thin film surface topography.
采用动态蒙特卡罗(KMC)方法模拟电子束物理气相沉积(EB-PVD)制备Ni-Cr合金薄膜过程中沉积速率与薄膜微观结构之间的关系,并用分维理论研究薄膜表面形貌。
4)  fractal dimension
分维
1.
Study on evaluation of particle size distribution of cement by fractal dimension;
水泥粒度分布的分维评价研究
2.
Aggregate gradations with different fractal dimension affecting on concrete;
不同分维骨料级配对混凝土性能影响的研究
3.
Fractal model of the reserve-size distribution of ore deposits and themathematical analysis of its fractal dimension;
矿床储量规模分布的分形模型及其分维的数理分析
5)  fractal dimensions
分维
1.
It is proved by two examples that the stone particle s roundness can be described indirectly by its fractal dimensions.
实例表明,石粉颗粒表面的分维数间接地刻画了其圆度,此法可以定量描述磷渣、水泥、硅粉等粉末颗粒的圆度。
2.
The fractal dimensions,shape indices and compactness of the boundaries of 32 provinces(regions) of China have been calculated in this paper based on GIS software.
本文借助GIS软件支持,计算了我国32个省的平面轮廓形状的分维、形状指数和紧凑度。
3.
First, a system of rural settlements has the same fractal model as an urban systems; secondly, they can degenerate or be dualized to become bifractals in the similar fashions; third, the values of their fractal dimensions are very approximate to each other, so conclusions may be reached that we can values of their deal with rural settlement systems in the same way as we once do urban systems.
以信阳地区为研究区,探讨其城乡聚落体系的空间分布规律,证明乡镇聚落体系与城市体系遵循相同的分形模式,并借助分维,分析了系统的结构问题,指出其未来优化的方
6)  fractional dimension
分维
1.
A case study indicates that fractional dimension can be used as a typical parameter to exactly reflect the structural characteristics of various soil grain sizes.
实例计算表明,分维作为描述土体粒度成分特征的参数,能较好反映了各种粒径大小在土体中的组成特点,可将其作为土体工程分类的一个综合性定量指标。
2.
In accordance with the uncertainty and irregularity for the mechanical behaviors of soil, by using fractional theory, an analysis is made on the relationship between fractional dimension and parameters of soil mechanics, such as grain size distribution, sorting, pore and other physical mechanics indexes.
针对土的力学行为的不确定性和无规则性,运用分形理论对其颗粒级配、分选性、孔隙及其物理力学性质指标 与分维的相关关系进行了分析,指出这种用一种参数求得多种土力学参数的方法是可行的,且具有实际工程意义,但其 中存在的问题有待进一步研究。
3.
The shape of the concrete bonding surface is very irregular usually,and its measured data by fractional dimension device is a stochastic process.
通常混凝土粘结面的形状极不规则 ,其表面的分维仪测值是一随机过程。
参考词条
补充资料:半单Lie代数有限维表示的特征标


半单Lie代数有限维表示的特征标
imensional representation of a semi-simple Lie algebra character of a finite-

  半单Lie代数有限维表示的特征标沁haracter of a 6nite-dimensio皿1 rePresenta600 ofa semi滋mPleLiealgebra:xapaRTep KO“e,“OMep“0r0 IIPe口CTa.Je”“翻no月ynpo-℃To曲a通.e6P‘加} 一个函数,它把表示的每一个仪对应到相应的权子空间的维数.如果勺是特征为O的代数闭域人仁半一单Lie代数g的一个Cartan子代数,甲:g争妇(v)是一个线性表示而代是对应于又〔为’的权子空间,那么表示华(或g模f)的特征标可以写成以下形式: eh于二艺(d;mF;)e’ e卜并且可以看成群环Z肠’」的一个元素如果人二C且甲=d小,其中。:G一GL(F)是以q为其Lie代数的一个Lie群G的解析线性表不,那么记法e汽可以看成b上的函数而ch价与函数x卜,场(e‘)伪〔专)一致,这卫x。是表示巾的特征标Lje代数的表示的特征标具有以下性质: ch( FI由VZ)二chF:一+ch卜2, eh(Vl⑧卜一2)=eh FI·eh否/2
  
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