函数

The probability distribution function G of particle number N^＋ is deduced on the basis of the Canonical partition function Z of an ideal Fermi gas（ The orbital motion of the fermi- ons is not considered） in weak magnetic field.

根据弱磁场中理想费米气体的正则配分函数Z，导出粒子数N＋的几率分布函数G。

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

We take them as examples for listing the microcanonical distribution,the canonical distribution and the grand canonical distribution for illustrating the idea.

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式，并以常用的微正则分布、正则分布和巨正则分布予以印证。

We take them as examples for listing the micro canonical distribution ,the canonical distribution and thegrand canonical distribution for illustrating the idea.

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式，并以常用的微正则分布、正则分布和巨正则分布予以印证。

The relationship among three ensemble s (microcanonical ensemble ,canonical ensemble ,and grand canonical ensemble ) was discussed by means of derivation of distribution function,calculation of partition function,clarification of the basic thermodynamics as well as the fluctuations of particles in order to get profound cognition of these three ensemble s.

从三则系综(微正则系综、正则系综和巨正则系综)分布函数的推导，配分函数的计算，基本热力学量的表达及能量、粒子数的涨落等方面来讨论三则系综之间的关系，以便更深刻地认识三则系综之间的关系、灵活运用三则系综来解决实际问题。

At the premise of that Canonical discriminant function and Fisher's discriminant function were established.

在此基础上进一步建立了典则判别函数和Fisher's判别函数。

Systemic studies on quality of Hypericum Japonicum Thunb Pattern recognition of TLC fingerprint characteristics: TLC fingerprint chromatograms were conceived and conducted by computer aided analysis and process; Canonical discriminant function and Fisher's discriminant function were established to provide a brand-new method for quality evaluation of Hypericum Japonicum Thunb samples.

田基黄色谱指纹特征的化学模式识别研究：(1)田基黄TLC指纹特征的计算机模式识别：构建了田基黄药材TLC指纹图谱，并对指纹特征进行了计算机解析与处理：建立了典则判别函数和Fisher's判别函数，为田基黄药材的质量评价提供了一种全新的方法。

Keynesia thinks significant demand is the node of total supply and total demand function, it is balanced dot, this come from at entrepreneur profit the biggest those who change is decision-making, yield the decision from this and the limit efficiency that the significant demand of Keynesia of obtain employment; still contacts consumptive function and capital, regarding them is magnitude of value of a kind of currency, discuss in system of banking of a money put quantity and flow while balanced; in addition, cantabrigian growth model is hind the Keynesia development to Kalaiciji's economics.

凯恩斯则认为有效需求是总供给和总需求函数的交点，它是一个均衡点，这一点来自于企业家利润最大化的决策，由此将决定产出和就业；凯恩斯的有效需求还联系到消费函数和资本的边际效率，把它们看作是一种货币价值量，在一个货币金融体系中讨论存量和流量的同时均衡；此外，剑桥增长模型是后凯恩斯对卡莱茨基的经济学的发展。

We find the exact Green's functions of the Anderson s-d mixing model formagnetic multilayers with arbitrary spin canting angle and arbitrary s-d mixingstrength between two FM layers within the framework of the mean-field theory of theon-site Coulomb repulsion.

在对格点库仑排斥互作用作平均场近似的理论框架内，我们给出了层间系统中Anderson s-d混合模型的严格格林函数。这一格林函数适用于任意的s-d混合作用强度以及两铁磁层的磁化方向间的任意夹角。

The results showed that there was power function relationship between the capillary water rise height and groundwater supply quantity and the time. There was linear function relationship between capillary water rise height and groundwater supply quantity and a power function between them and the time. There was linear function relationship between the capillary water rise velocity and the groundwater supply rate. Parameters could be calculated by measured data, which showed that it is possible to simulate capillary water rise process of homogeneous soil by Green-Ampt model.

结果表明：均质土毛管水上升高度和地下水补给量均与时间之间为幂函数关系，毛管水上升速度和地下水补给速率也均与时间呈幂函数关系，毛管水上升高度与地下水补给量之间呈明显的线性关系，毛管水上升速度与地下水补给速率也呈线性关系；通过试验资料可以推求有关参数；说明入渗条件下的Green-Ampt模型用于模拟均质土的毛管水上升过程是可行的。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。