离散

Keywords: Kinetic Theory of Gases ,Boltzmann Model Equation ,Discrete

中文关键词：气体运动论，玻尔兹曼模型方程，离散速度坐标法

Although, there has a progress in employing the lattice Boltzmann equation for fluid dynamics and modeling complex physics in fluids recently, there are some problems to be solved, such as the negativity of discrete local equilibrium or evolutionary distribution and the limitation of low Mach number.

尽管近年来在应用格子Boltzmann 方程对流体模拟和建模方面取得了重要进展，格子Boltzmann 方法仍有很多问题需要解决，例如离散的平衡态分布函数及分布函数的非负性问题、低Mach 数的限制问题。

In this paper,based on the fully consideration of the physical characteristics of wind and snow,a three-dimensional wind field is constructed by discretizing the classic Boltzmann equation.

在充分考虑风雪具体物理特性的基础上，通过对经典Boltzmann 方程进行离散来构造三维风场，并根据风雪的交互作用规律，建立起雪的飘动、沉积、侵蚀等变化规则，进一步采用一系列简化和加速绘制的方法，具有真实感地实时绘制出不同风速下不同降雪量的风雪场景。

The first is on the study of spectra technique in boolean function and in its probability function.

得到布尔差分等布尔运算在此映射下的实函数运算，并用有限离散变换实现了从原函数到象函数、到象函数偏差分，以及到布尔差分的象函数的变换，并研究了这一系列变换的性质。

After the boundary integral operator is decomposed into the sum of a monotonous Hammerstein operator and a compact mapping by the Sidi rule, we construct the nonlinear discrete equations.

积分算子被分解成单调的Hammerstein算子和一个紧算子后，运用Sidi求积公式，建立了非线性离散方程组。

The calculation formulas of the boundary point method were deduced, based on the magnetic field.

从描述电磁场的偏微分方程出发，推导出相应的边界积分方程；通过对边界积分方程的离散，建立特解矩阵，进而推导出稀土永磁齿轮传动磁场的边界点方法计算公式。

This result can best be viewed as a quantum black hole version of the third law of thermodynamics. As a result of this area spectrum, the spectrum of M is discrete, bounded below, and can be made positive. Prom the physical point of view, the semiboundedness and positivity of the spectrum are very satisfying results: The semi-boundedness of the spectrum implies that one cannot extract an infinite amount of energy from the system, whereas the positivity of the spectrum is in agreement with the well-known positive-energy theorems of general relativity.

同时根据EMDA黑洞动力学，存在与面积谱对应的大于零且有下界的质量离散谱，从物理上来看，质量谱的半有界性意味着不可能从系统吸取无限的能量，而正定性则与广义相对论中的正能定理一致，也就说稳态轴对称EMDA时空的ADM能量总是大于零。

The uncertain parameters are supposed to belong to a given convex bounded polyhedral domain, entering into all the matrices of the system state-space model.

所研究的对象是同时具有状态时滞和多面体不确定性的离散时间系统。

On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function.

本文基于雷达信号和雷达模糊度函数间的一致关系，提出了任意平方可积的二维有界函数是雷达模糊度函数的充要条件，并且指出它包括了Wilcox提出的离散的可实现条件。

Finally we show that the discrete fra-ctional integral operator〓is bounded on〓.

本章还证明了离散分数次积分算子〓在〓上的有界性。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新