熵的

On the basis of general Krawczyk-Hansen Operator, the interval iteration of the constrained functions are established; the interval extension of maximum entropy function is discussed; convergence is proved; region deletion rules are supplied and the algorithm of interval maximum entropy has been set up.

利用极大熵函数和罚函数将问题转化为无约束可微优化问题，借助广义Krawczyk-Hansen算子建立了约束函数的区间迭代；讨论了极大熵函数和罚函数的区间扩张，证明了收敛性等性质，给出了无解区域删除原则，建立了区间极大熵算法。

The effects of the initial field states, different value of decay constant and the initial atomic states on all the entropies are discussed.

结果表明：光场的不同量子统计性质使得系统线性熵、原子线性熵和光场线性熵均发生明显改变。

Because of the importance of the entropy, we also give an important quality of entropy, which is that the value the system entropy decreases with the deflection from the equiprobability distribution.

另外因为熵概念的重要性，我们还给出了熵值变化的一个重要性质，即熵值随着偏离等概率分布距离增大而减小。

After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.

首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius-Perron算子的泛函分析与数值分析；最后《确定性系统的统计性质》介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

Jiu Ding,Aihui Zhou,Statistical Properties of Deterministic Systems Statistical Properties of Deterministic Systems discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation.

摘要本书介绍的是确定性离散动力系统统计性质的基本理论与计算方法，首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius—Perron算子的泛函分析与数值分析；最后本书介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

Chapter two introduces the concept of entropy in information theory, maximum entropy principle, and minimum cross-entropy principle.

第二章首先介绍了信息论中的熵、最大熵原理、最小叉熵原理。

The research conducted in this paper solves the symbolic structure of the devil's carpet and the metrization of the plateau of an equal topological entropy class, and presents the symbolic description and visual realization of equal entropy fractals.

本研究解决了拓扑熵魔毯的符号结构和等拓扑熵类平台的度量刻划；获得了等熵分形的符号刻划及直观实现。

For positively expansive nonautonomous systems, two types of pointwise preimage entropies are equal, and the preimage branch entropy and the preimage relation entropy are e...

3证明了对正向可扩的连续自映射序列而言，两类点原像熵相等，原像分枝熵与原像关系熵也相等。

"Extropians," as promoters of extropy call themselves, issued a seven-point lifestyle manifesto based on the vitalism of life's extropy.

扩张熵extropy推手们自称为"扩张熵人Extropians"，基于生命扩张熵extropy的活力，他们发表了关于生活方式的七点声明。

Under the condition that the flux function has one inflection point, by the structure of weak entropy solution of the corresponding initial value problem and the boundary entropy condition developed by Bardos-Leroux-Nedelec, we give a construction method for the global weak entropy solution of the initial-boundary value problem arid clarify the solution structure nearby the boundary.

在流函数具有一个拐点的条件下，由相应的初始值问题弱熵解的结构和Bardos-Leroux-Nedelec提出的边界熵条件，给出初边值问题整体弱熵解的一个构造方法，澄清弱熵解在边界附近的结构。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。