不变

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。

Defined object function can extract the extremal point s located accurately,form the stable extremal regions,and magnify the local intensity changes.

提出了一种基于不变区域提取算法，通过灰度指数变换，定义的目标函数不仅提取了定位准确的极值点，形成稳定的不变区域，而且突显了每个方向上灰度的变化。

Filter-based matching algorithm uses a bank of Gabor filters to capture both local and global details in a fingerprint as a compact fixed length Feature Vector. Invariant-moment matching algorithm is used to overcome the deformation in fingerprint.

用一组Gabor滤波器获取指纹图像的局部信息和全局信息，并表示成简洁的指纹滤波特征向量，用于滤波特征匹配；针对指纹图像中存在的三种形变，采用图像的不变矩算法进行不变矩的匹配。

On this theory, a framework is designed which can change the spinal position but to fix the ring position to have a fixedness balloon heightness, through which the spinning tension can keep stability ,at the same time, all kinds problem during spinning course can be reduced and the yarn quality can be assured.

在这个理论基础上，我们设计了一套通过改变锭子位置而钢领板位置不变的装置来使气圈的高度不变，从而达到纱线张力的稳定，从而减少成纱过程中因为张力问题而产生的各种问题，减少断纱，提高了成纱品质。

First, each shape is represented by the eigenvectors of an appropriately defined affinity matrix based on approximated geodesic distance, forming a spectral embedding which achieves normalization against rigid-body transformations, uniform scaling, and shape articulation (i.e., pose changing). This procedure is called the pose-oblivious transform.

首先，针对每一个形状都基于谱嵌入的方法求得其相应的谱嵌入表示，这里的谱嵌入是基于以近似测地距离为基础构造出的仿射矩阵的特征向量得到的，这一过程称为姿态无关变换，经过这一变换，模型的形状的描述符就具备了刚体变换不变、均匀缩放不变和姿态无关的特性。

Some sufficient condition to guarantee the existence of global invariant manifold s consisting zero homotopic closed orbits is gived.

当在每个不变柱面上有奇点时证明了这类系统局部极限环的存在性；同时给出了这类系统存在由第一类闭轨组成的全局不变流形的条

2Graduate School of Chinese Academy of Sciences, Beijing 100049, ChinaAbstract: Two sets of dehydrationmelting with a natural solid amphibolite(56vol.% hornblende, 43vol.% plagioclase), collected from the DabainengLeyu profile in the southern Ailaoshan orogenic belt, Honghe County, Yunnan Province, have been carried out in multianvil apparatus(YJ3000t and JL3600t) at 1035 GPa and 950 ℃ for 20300 h. One is keeping the temperature at 950 ℃ and the annealing time of 100 h, varying the pressure (1035 GPa). The other is keeping the pressure at 30 GPa and temperature at 950 ℃, varying the annealing time (20300 h). The products are inspected with microscope and electron probe.

利用YJ3000t和JL3600t多顶砧压力机，以哀牢山造山带南部红河县大白能-乐育剖面上的天然块状斜长角闪岩为初始样品，在950 ℃、10~35 GPa、恒温20~300 h条件下进行了两个系列的斜长角闪岩块状样品脱水部分熔融实验：(1)保持温度T=950 ℃，加热时间t=100 h不变，改变压力(10~35 GPa)的实验；(2)保持温度T=950 ℃，压力p=30 GPa不变，改变加热时间(20~300 h)的实验。

The result of experiment shows that the hardness will increase and the plating rate will decrease with the rising of concentration ratio of nickel sulfate and hypophosphite.

最后的试验结果表明，在其它条件不变的情况下，随着镍磷摩尔浓度比的增大，镀层硬度逐渐上升，而镀速逐渐下降；在其它条件不变的情况下，随着丙酸浓度的增加，平均镀速有所上升，而硬度先上升，达到一个最大值后开始下降。

The property, called as the geometry intrinsic property of lattice structure, was significant in material/structure design.

分析发现：当原网格结构单胞中各个杆件保持材料性质不变，而面内的几何尺寸扩大相同倍数时，拟膜的弹性本构保持不变，称这种性质为网格结构的几何内禀性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。