维数

Although staff_size is initialized with a literal constant, staff_size itself is a non const object. Its value can be known only at run time, so it is illegal as an array dimension.

虽然 staff_size 是用字面值常量进行初始化，但 staff_size 本身是一个非 const 对象，只有在运行时才能获得它的值，因此，使用该变量来定义数组维数是非法的。

The author gives two methods to specify the scale interval by using fitting of three—broken—line as well as statistical hypothesis testing based on the estimate of the derivative of the double logarithmic curve.

由于实际动力系统的混沌吸引子其自相似性只能在一定的尺度范围内存在，文中给出了两种无标度区间的确定方法以正确地估计吸引子的分形维数，即三折线拟合方法和通过直接估计双对数曲线上每一点的导数并利用统计假设检验方法确定合理的无标度区间。

The paper provides a new dimension-reduced method of sensitivity analysis for stochastic user equilibrium assignment model based on the relation between its Lagrange function and logarithmic barrier function combined with a Courant quadratic penalty term. The advantage of this method is of smaller dimension than general sensitivity analysis and reducing the complexity.

基于随机用户平衡分配扰动模型的Lagrange函数及带柯朗二次惩罚项的对数边际函数之间的关系给出了一种的新的降维灵敏度分析方法，与通常所说的灵敏度分析相比它的优点是大大减小了计算的维数，降低了复杂性。

The box-counting fractal dimension and information fractal dimension of beef marbling were estimated in order to find out a new parameter for the quantitative description of the distribution of marbling fat.

通过对牛肉大理石花纹图像分形特征的分析及分形维数的测定，试图以分形维对牛肉大理石花纹的分布特征进行定量描述。

Necessary and sufficient conditions are given when n=m+1. Finally, we show that when n=m+1, all systems but a measure zero set are linearizable.

对输入数仅比系统维数少一的情况给出了充要条件，并证明了在此情况下几乎所有的系统均可线性化。

This paper Puts forward the four main parameters of the Permeability classification for coal mass es, that is,the fractal dimension of the cracks in coal mass es,the number of the cracks in one meter's characteristic scale, the conducting water coefficient of coal samples and its Porousness; and founds the mathematical pattern of the complex judgement by fuzzy sets.

提出了进行煤体渗流特性分类的四个主要指标，即煤体裂隙分布的分形维数D、特征尺度L＝1m的裂隙条数N、煤样导水系数T和煤的孔隙率η等；建立了煤体渗流特性模糊数学综合评价的数学模型；根据煤层注水工程应用的实际情况。

With the limitation of the line detection based on traditional Hough transform that the information of the length and the end points of the line is unavailable, a new algorithm which makes use of the accessional strategy based on precognition information is put forward to meet the demand for more information of the line, simulation results show this method is effective. Finally, the whole process of airport target recognition is presented and the result images are also given.

使用分形方法提取目标的特征，在知识指导下，提出了一种基于目标特征模型的降维的形态学分形维数计算方法，对传统分形方法进行了改进，从理论上推证了算法的合理性，并对算法进行了仿真分析；针对传统Hough变换无法获得线段端点和长度信息的局限性，提出了一种基于目标特征先验知识的Hough变换融合策略，通过引入目标先验知识，可以有效地获得直线信息；对信息多而复杂的机场目标采用基于知识的目标识别方法，使用置信度模摘要型实现不确定推理，对目标进行识别判断，将知识贯穿于整个识别过程中，对目标进行了有效地识别。

The core idea of the method is to reduce the Hough cumulative dimension of the circle detection based on classical Hough transform, and convert the threedimensional statistical parameter based on the traditional circle Hough transform to two-dimensional parametric statistics about the center of a circle and one-dimensional statistical parameter about the radius of a circle.

给出了一种基于Hough变换的同心圆检测方法，其核心思想是降低经典Hough变换圆检测中的Hough累积维数，将经典Hough变换圆检测时的三维参量统计，转变成基于弦中点的圆心和半径的参量统计。

This dissertation involves the study of the growth dynamics of colloidal particles under unequilibrium and irreversibility condition. Firstly, it is of interest to investigate whether the ideal diffusion or reaction-limited aggregation universal behavior can be observed for the initially polydisperse practical system of basic yttrium carbonate as well. The fractal structure of basic yttrium carbonate aggregate cluster was observed using transmission eletron microscopy. The aggregation kinetics of basic yttrium carbonate colloids was studed using dynamic 1ight-scattering techniques. At 1.00mol/l NaCl solution the fast diffusion-limited aggregation behavior was observed with an increase in the aggregate size over time described by a power law. The aggregates are characterized by a fractal dimension D=1.82. The disordered and ramified cluster is consisted of primary colloidal particles and tenuous and more open. These are in good agreement with those observed for other colloidal system such as colloidal gold (1.86), silica (1.85) and polystyrene latex (1.82) in diffusion-limited aggregation from the static and dynamic light scattering by Lin. Therefore ideal diffusion-limited aggregation behavior can be observed in practical polydisperse system as well. Smoluchwski and fractal theories were used to obtain the aggregation rate constant for initially polydisperse system for the first time.

本论文研究胶粒的非平衡不可逆聚集动态学，分为两个部分，第一部分是通过实验研究一个新的初始多分散的碱式碳酸钇胶粒实际体系中，聚集标度性质的普适性，即使用透射电子显微技术观测聚集粒子簇的分形结构，使用动态激光光散射研究碱式碳酸钇胶粒的聚集动力学，胶粒带电而产生静电排斥作用使得碱式碳酸钇胶粒处于稳定状态，当加入电解质NaCl溶液时，碱式碳酸钇胶粒间的Debye-Hückel屏蔽距离缩短，从而降低静电排斥能垒，引起胶粒发生不可逆聚集，加入电解质NaCl的浓度为1.00mol/l时，碱式碳酸钇胶粒进行快速聚集，经历扩散控制聚集机理，形成结构疏松、更为开放的分形聚集粒子簇，其分形维数为1.82，碱式碳酸钇胶粒聚集增长动力学遵循幂函数增长规律，与Lin等使用静态激光光散射和动态激光光散射测量硅胶(1.85)、金胶(1.86)和聚苯乙烯胶乳(1.82)在扩散控制聚集状态形成聚集粒子簇的分形维数值以及粒子簇聚集增长的动力学规律相一致，表明胶粒聚集标度性质的普适性质在初始多分散的实际体系中也是存在的，首次由动态激光光散射的实验数据得到初始多分散胶粒分形粒子簇的聚集速率常数，并且其值与Smoluchowski聚集速率理论预期相符。

Correlation dimension is the concept corresponding to correlation function in random process.

关联维数是与随机过程中相关函数相对应的概念，对于混沌过程的奇异吸引子，其关联维D2一般为分数。

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。