均匀分布

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

The optimization model which the horizontal well drawdown is regarded as objection function and the perforation distribution as decision variable is presented.

建立了以水平井生产端压差为目标函数、以孔眼分布为决策变量的优化模型，同时和均匀流入剖面、均匀射孔分布的结果进行了对比。

The regions with uniform ion density distribution were also obtained, which is very useful to the deposition of thin film.

获得了离子密度分布均匀的区域，分析了离子密度分布的均匀性对薄膜制备的影响和意义。

The inversion simulation was taken for the homogeneous half space, layered conductive model data and field data.

对均匀半空间、层状导电模型和实际数据进行了反演模拟，结果表明，模型约束迭代反演方法能从地面核磁共振感应电动势获得含水层较为合理的含水量及分布，且该结果可以从作为初始模型的均匀含水量分布反演得到。

The concrete work and main contribution are as follows:(1) The index indicating transfer capability homogeneousness is defined, and the new terms like homogeneous grid, grid according with economic flow are put forward. These new concepts describe the degree in which transfer capability is utilized, and they provide the standard for ideal grid whose transfer capability and power generation dispatching economy are in phase. So, new idea is introduced in transfer capability analysis.(2) The multi-objective function with generation cost and transfer capability homogeneousness weighted is constructed. The relationship between system existing generation dispatching and transfer capability is revealed through comparative analysis between security economic dispatch and security homogeneous dispatch, and the variation rule analysis between generation cost and transfer capability homogeneousness with the change of weighting coefficient.(3) Example analyses demonstrate that the difference between specific power system with ideal instance can be identified effectively using the above concepts and method.

具体工作和贡献主要体现在：(1)定义了衡量电网输电能力均匀性分布的指标，提出均匀电网、符合经济流电网的新概念，以描述电网输电能力被利用的程度，并给出输电能力和发电调度经济性相协调的理想电网标准，在输电能力分析评判领域引入了新观点；(2)构造了发电费用与输电均匀性加权的多目标函数，通过对安全经济调度与安全均匀调度的对比分析，以及权系数变化过程中发电费用与输电均匀性的变化规律分析，揭示了系统现存发电调度与输电能力之间的依赖关系；(3)大量分析表明，利用上述概念和方法可有效识别系统在特定模式下与符合经济流电网的偏差程度。

Secondly, the interphase layer is homogenized as a micropolar material model, and the analytical expressions for the local stress and couple stress and their corresponding average are derived for a coated fiber embedded in an infinite matrix under remote classical loading. This exact relation is compared with that determined through an approximate average equivalent inclusion method , and results show that the AEIM has good accuracy to be applied to evaluate the effective property.

就有效性质而言，对于所考察的硬界面复合材料来说均匀界面层的估计要高于非均匀界面层，但两者相差不大；对局部应力分布的预测，均匀界面层与非均匀界面层有较大差别，这说明对于与局部应力密切相关的损伤现象的预测，考虑非均匀界面层是十分必要的。

Numerical simulation results show that the fluid flow in Lost Foam Process was different from that in an ordinary green sand mold, the molten metal flow forwards in a circular-arc shape from the ingate, meanwhile, the nature of the gating system influenced the filling process notably. As the polystyrene pattern decomposition has a strong quenching effect on the flowing metal fornt, a high temperature gradient was formed at the flowing metal front, this resulted in the dropping of temperature of the metal to the liquidus temperature quickly and decreased the flowability of molten metal, the temperature distribution in the metal behind, however, was even. The properties of the pattern and the coating affected the temperature distribution remarkably.

从内浇口开始，金属液呈放射状均匀向前充填，同时浇注系统性质显著影响金属液充型过程的流场；由于聚苯乙烯模样气化吸热对金属液的激冷作用，在金属液流端部区域产生很大的温度梯度，使得端部区域金属液很快降至液相线温度，降低了金属液的充型能力，而后续金属液中温度分布则比较均匀，模样性能、涂料性能显著影响这一温度分布特点。

Based on grid pattern sampling, by the analysis of lacunarity indices in Huairou and Mentougou District, it is found that: In different scales, the higher lacunarity indices are, the greater heterogeneity of spatial distribution for forest landscape elements is. This performance can be considered as macroheterogeneity characteristics. Oppositely, the lower lacunarity indices values are, the smaller heterogeneity of spatial distribution for forest landscape elements are.

4通过对怀柔和门头沟试验区进行网格局抽样及孔隙度指数分析发现：在不同尺度下，孔隙度指数值越高，森林景观组分空间分布的不均匀程度越高，表现为宏观异质性特征；孔隙度指数值越低，其景观组分在其研究范围内空间分布均匀，表现为微观异质性特征。

The fracture zones are characterized by rela-tive levorotation,shove and compression,but the distribution of strike slip is inhomoge-neous.

断裂活动的不均一性与平面最大剪应力分布不均匀成正相关，且各断裂均以相对左旋走滑兼挤压为特征，但是其走滑量的分布是不均匀的。

The microstructure evolution and composition distribution of the 7A55 cast and homogenized alloy were studied by optical microscopy, scanning electron microcopy, energy dispersive spectrometer, transmission electron microscopy and X-ray diffractometry. The homogenizing and overburnt temperatures of the alloy were determined. Meanwhile, the diffusion kinetics of the alloy elements during homogenizing treatment was investigated and the homogenizing kinetic equation was deduced according to Fick's First Law of diffusion. The diffusion of alloy elements, precipitation of Al3Zr particles and the conglomeration and globe of the insoluble phases were explained by the equation during homogenization.

摘 要：采用光学显微镜、扫描电镜、能谱分析、透射电镜和X射线衍射分析等研究了7A55合金铸态与均匀化显微组织演化与成分分布，确定了该合金的均匀化处理温度与过烧温度，研究了铸锭均匀化动力学过程，利用菲克定理导出了均匀化动力学方程，利用动力学方程对均匀化过程中合金元素的扩散、 Al3Zr的析出、难熔相的聚集和球化现象进行了解释。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。