通过对熵方程分析表明，BGK波尔兹曼方程严格满足熵条件，从而阐释了BGK模拟方法满足熵条件。
The analysis on the entropy equation shows that the BGK Boltzmann equation meets the entropy condition strictly, implying that the BGK method meets the entropy condition.
低熵状态(即高度有序状态)是形成复杂物质的前提条件。
The low entropy state (or high degree of order) was essential for making complex matter possible.
运用最大熵原理，对柴油在不同喷油条件下的粒度分布做了预测。
Using entropy theory, the droplet distribution of diesel spray is predicted in this paper as well.
条件随机场是一种无向图模型，它具有产生式模型和最大熵马尔可夫模型的优点。
Conditional Random Fields (CRF) is arbitrary undirected graphical model that bring together the best of generative models and Maximum Entropy Markov models (MEMM).
为估计利用各类成像传感器自然获取图像的无损压缩极限，提出一个利用多尺度条件熵和记忆性度量的实用方法。
Lossless compression bounds of images naturally acquired by various imaging sensors are estimated using a practical method based on multi scale conditional entropy and memory measurement.
提出了一种基于条件信息熵的知识约简启发式算法，并指出该算法的时间复杂度是多项式的。
A heuristic algorithm based on conditional information entropy for knowledge reduction is proposed, and the complexity of this algorithm is analyzed.
建立了神经网络的非平衡态热力学理论，给出了神经网络熵产生率，稳定条件及应用实例。
The non-equilibrium thermodynamic theory of artificial neural networks is introduced in this paper. The concepts of entropy production rate, network stability condition and its applications are given.
提出了一种基于条件粒度熵的属性约简的启发式算法，通过例子分析，表明该算法是有效的。
The paper offer a new heuristic attribute reduction algorithm based on conditional granularity entropy, though running an example, we show that this algorithm is effective.
提出新的条件信息熵及其高效知识约简算法。
A new conditional entropy and knowledge reduction algorithms are proposed.
获得了在最大生态学函数条件下的最佳效率、输出功率和熵产生，并与在最大输出功率条件下的结果进行比较。
The optimal efficiency, output power and entropy production at the maximum of an ecological function are obtained, and are compared with those results at the condition of maximum output power.
利用这一新的准则，确定了鞅测度，提供了存在惟一最小对称熵鞅测度的充分条件。
Then by the new rule, a martingale measure was found, and sufficient conditions for the existence of a unique equivalent martingale measure that minimizes the symmetric entropy was given.
与某些变数，变化的灵活性，发生在配体结合，突变，或改变抽样条件可以解释方面的贡献，构象熵。
With certain caveats, changes in flexibility that occur upon ligand binding, mutation, or changes in sample conditions can be interpreted in terms of contributions to conformational entropy.
对水动力条件采用极大熵谱分析法进行周期分析，并用灰色模型进行预测。
Maximum entropy spectrum analysis method is used in cycle analysis of hydrodynamic conditions, and then the author makes prediction with gray model.
依据粗集理论研究离散化数据的特点，考虑类分布信息，采用信息熵理论进行连续条件属性的离散化。
Data discrimination is the character of RS, considering distributed information of class, and continual condition attributes are described according to information entropy theory.
知识约简后决策表的条件熵等于初始决策表的条件熵。
The conditional entropy of decision table will not change in the reduction process.
简要地介绍了不确定性、信息熵、联合熵、条件熵、互信息的基本概念。
The basic concepts of uncertainty, information entropy, united entropy, term entropy and mutual information were introduced briefly.
带不等式约束的非线性规划，其KKT条件可以通过NCP函数转化为一个非光滑的方程组，然后用熵光滑化函数光滑化，得到一个带参数的方程组。
The KKT conditions of a nonlinear programming with linear inequality constrains can be transformed into a system of equations by NCP function. Then it is smoothed by Entropy smoothing function.
本文定义了四种条件熵，并在此基础上提出了四种基于熵的方法，以用于粗糙集数据分析中的属性简约。
Four kinds of condition entropy are defined in this paper. Accordingly, four kinds of entropy based methods for the attribute reduction in the rough set data analysis are proposed.
论文中利用信息熵、条件熵公式推导出先验知识度划分标准公式，该公式把信息熵公式中加权和转换为加权和加先验知识度参数。
The formula of the prior knowledge classification standard was deduced used of the information entropy and the condition entropy formula, which add the priori knowledge parameter to the weighting sum.
首先介绍了模糊概率、用条件概率与条件熵定义模糊划分熵的概念以及模糊划分的原理。
Firstly, a definition of fuzzy partition entropy is proposed after introducing the concepts of fuzzy probability and fuzzy partition.
最大熵反褶积是在地震子波为最小相位条件下进行的，其向前预测误差就等于反射系数序列。
The maximum entropy deconvolution is performed under the premise that seismic wavelet is of minimum phase, so the forward prediction error is equivalent to reflection coefficient series.
该算法直接在基因的层面上进行优化，能学习劣解的基因，并用信息熵作为结束条件的判据。
GOA optimizes directly at the gene level and can learn from the gene of bad individuals. The entropy is used for the terminal criterion of the algorithm.
最大熵密度函数以Z的期望和高阶中心矩为约束条件加以拟合。
The maximum entropy density function is fitted with the restriction of expectation and high DE - gree central moments of Z.
本文讨论树映射的拓扑熵，得到树映射具有正拓扑熵的几个等价条件。
In this paper we discuss the topological entropy of a tree map and obtain several equivalent conditions for a tree map with positive topological entropy.
本文给出了空间连续自映射拓扑熵等于零的几个充分条件。
In this paper, some results are obtained for a continuous self-mapping of topo - logical space with zero entropy.
此外，还得到了树映射是强非混沌以及逐片单调树映射的拓扑熵为零的几个等价条件。
Furthermore, we also obtain a few equivalent conditions which a tree map is strongly not-chaotic and a few equivalent conditions which a piecewise monotone tree map has topological entropy zero.
同时提出了基于投票熵与类条件后验最大熵相结合的QBC算法。
A new QBC method is presented by combining vote entropy and class conditional posterior maximum entropy for learning TAN classifier.
本文讨论了这个有意义的问题，在一般连续条件下解决了工程设计中的外点极大熵方法和内点极大熵方法的收敛性。
This paper discuss the importance problem, we get the convergence theory of the exterior point and interior point maximum entropy.
文字符号的极限熵是在充分考虑上下文信息条件下，字符所包含平均信息量的大小。
Ultimate entropy is the average information per character, taking the sufficient context into consideration.
文字符号的极限熵是在充分考虑上下文信息条件下，字符所包含平均信息量的大小。
Ultimate entropy is the average information per character, taking the sufficient context into consideration.
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