查询词典 partition function

If theharmonic index is finite,then each end may be represented by a non-constant positiveharmonic function,and these functions compose a partition of unity.For minimalhypersurfaces with finite total scalar curvature,we can explicitly estimate the harmonicindex.Moreover,the space of bounded harmonic functions are exactly generated bythose functions associated to each end.This gives geometric interpretations of the ends.

若调和指标有限，则每个端均可由一非常值的调和函数代表，它们形成了一个单位分解，对于全纯量曲率有限的极小超曲面，我们明确地估计了调和指标，进一步，有界调和函数正好由代表端的那些调和函数所生成，这就给出了端的几何解释。

In this article, we use three multifractal analysis methods, which are partition function method, singular spectrum method and multifractal detrended fluctuation method, to analyse the closing price series during the past seven years in Shanghai Stock Market with different time scales.

作者将多重分形分析的三种方法（配分函数分析法、奇异谱分析法和多重分形趋势消除波动分析法）应用于我国上海证券市场在过去七年中的收盘指数序列，分析了不同时间标度对多重分形特性的影响。

A reversible Markov process as a chemical polymerization model where a gelation transition exists is presented. The stationary distribution, partition function and expression of covariance of this model are obtained.

以存在凝胶化现象的高分子反应模型为背景，定义了高分子反应所对应的可逆Markov过程，给出了过程的稳定分布及配分函数，推导出了分子间协方差的表达式。

In addition, new proofs are presented for two symmetric difference identities, as well as Ramanujans congruence modulo 11 on the partition function.

此外，作者重新证明其中另外两个对称差恒等式，并利用Chan的_∞~(10)的二重级数表示公式重新确认Ramanujan的关于分拆函数的模11同余性质。

Then the structure unit of hexangular lattice is found according to the principle of invariable symmetry. Renormalization transformation is processed when we regard the structure unit and the growth model as graphs before and after transformation respectively. After choosing the11thermodynamic function fugacity as parameter, we can write out the partition functions before and after transformation and the formula of renormalization transformation. At the same time, we also work out the fixed points of transformation.

然后根据对称性不变的原则，从整体晶格中选取结构单元，把结构单元和生长模型分别作为重整化变换前、后的图形来进行重整化变换，选取热力学函数易逸度为参量，写出了重整化变换前后的配分函数和重整化变换关系式，求出了这一变换的不动点。

SDE is also rotation, translation and scale invariant. Integrated with the human vision and the characters of entropy, improvements are made on the new partition method and the weight function.

结合人类的视觉特征及熵的特性，进一步提出利用加权空间分布熵来优化和改进颜色空间分布特征的提取算法。

This paper establishes the standard fuzzy system with partition of normal trigonometric membership function. Based on above standard fuzzy system, approximation error bounds problems are discussed by interpolation theory.

在标准模糊系统的基础上提出了以正规三角函数为基函数的一类模糊系统。

Sifting function partition by integer sort; Selberg's sieve; Goldbach problem; Problem of twin primes.

筛函数按整数类别分割；Selberg筛法；Goldbach问题；孪生素数问题。

As a limited domain is concerned, since the boundary condition limits the uniqueness of the solution of stream function, velocity potential and the partition of wind field, it is important to reduce or eliminate the effect of boundary condition uncertainty.

所以减小或消除边界的不确定对结果的影响是有限区域流函数和速度势计算及风场分解最重要的问题。

The main research results in this dissertation can be given as following:Firstly, the bidding strategies and affections of generation companies on the TOU power price are analyzed; Supply function model is employed to simulate the bidding strategies of generation companies in power pool. Some meaningful results are obtained through the proposed equilibrium equations model, when different bidding parameters are selected to maximize profit of suppliers, such as the the numeral of generation company, the block bidding, and power demand elasticity. Based on these results, the affections between the bidding strategies and the TOU power price are discussed.Secondly, the important principles consider the factor of bidding strategies of generation companies and consumers gaming strategies are proposed to constitute the new TOU power price model under present electricity market. Based on these pricinples a new mathematical model of TOU power price is constructed, to evade electricity market risk, partition the peak-valley, ascertain the consumers' response curve, and protect the ambilateral profits.Thirdly, the affections of the TOU power price strategies for reducing the network loss, adjusting node voltage, improving load curve of power system, and protecting the consumers' benefits in electricity market are analyzed with applications of a city real time load data of Jiangsu province.

针对&厂网分开，竞价上网&的电力市场运营模式，本文主要完成了以下研究工作：1研究了发电商不同的竞价上网策略，利用供给函数均衡方法，建立了发电商的竞价上网策略模型，给出了市场均衡解的具体解法；讨论了不同条件下发电商的竞价策略对市场的影响，并获得了发电商的最优上网竞价策略，明确了竞价上网与峰谷分时电价之间的影响因素；利用电力系统负荷曲线，建立了发电商最优竞价策略与峰谷分时电价之间的相互联系，通过仿真算例分析了峰谷分时电价与发电商最优报价之间的相互影响。2提出了&厂网分开，竞价上网&电力市场模式下，考虑发电侧竞价和用户侧博弈等风险因素影响，峰谷分时电价理论建模在规避电网企业运营风险，保护供电方与用户双方的利益、确定用户响应曲线、划分峰谷时段、设置合理的电价拉开比等方面所应遵循的基本原则，在此基础上建立了适合电力市场模式的峰谷分时电价模型。3从原理上分析了需求侧实行峰谷分时电价策略，对削峰填谷，提高负荷率，改善负荷曲线形状，降低电力系统的电能损耗和电压损耗等方面的影响，并进行了仿真验证。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。