离散均匀分布

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 conventional discrete random phases by registers shifting method are replaced by the introducing continuous uniform distribution phases. The proposed method can produce high quality random signals and is convenient in the software programming.

采用连续均匀分布的随机相位代替原来以寄存器移位方式生成的离散随机相位，这不但提高了信号的生成质量，而且使编程过程更简单。

Rinted-circuit board air-core coils designed by using CAD tools and fabricated by adopting advanced PCB manufacturing technology are good in measurement accuracy and consistence of products parameters. But the characteristics of limited turns-density and large magnetic induction intensity grads on coil cross-section make great influence on the continuous uniform distribution of coil turns along the coil circumference and cause its discrete distribution.

CB空心线圈采用CAD方法设计和先进的PCB加工工艺制造，具有很好的测量精度和参数一致性，但是，线匝密度较小，而且截面上磁感应强度梯度较大，从而影响了线匝沿圆周均匀分布的连续性，使其具有了离散分布特征。

The composite film appeared semitransparent and brown to yellow from optical microscopy. Results show that shorter time sol-heating results in thiner film with less surface roughness, less conglutination to base, and easily to disconnect, while longer time sol-heating results in thicker film with better conglutination to base and worse roughness. RDX distributes in the film everywhere on the whole but discretely on the scale of 2.4 μm according to EDS results. XRD curve of RDX/RF film shows the superposition of RF non-crystal bread curve and RDX crystals diffraction curve. RDX diffraction peaks are broadened and its crystal size is calculated to be lower to 43 nm.

实验所得薄膜半透明，呈棕红色至黄色；实验表明，溶胶恒温加热时间较短时，所得薄膜的单层厚度较小，较平整，但附着力小，干燥后易脱落；恒温加热时间较长时，所得薄膜的单层厚度较大，不易脱落，但表面平整性较差；能谱测试表明，薄膜中的RDX整体上分布较为均匀，但在测试点位间距为2.4μm的微观尺度上呈离散状分布；XRD测试表明，RDX/RF复合物薄膜表现为RF的非晶态馒头峰与RDX衍射峰的叠加，RDX衍射峰明显宽化，其晶粒度可低至43 nm。

The error of the large-scale wind retrieved by TVAD technique has somerelationship to initial phase of the fitting harmonic curve.

理想简谐分布离散数据的模拟实验表明，TVAD的风向均匀误差为16°、风速为0.27，与常规测风的误差相近。

Based on the coupled discrete tent spatiotemporal chaotic maps, a cryptographic Hashing function is constructed to generate 128-bit Hash value from a message with arbitrary length.

与帐篷映射相比，该方案所采用的离散耦合帐篷时空混沌模型避免了有限精度实现产生的短周期行为，产生的时间序列近似服从均匀分布，具有更为理想的扩散与混乱特性。

Theobserved strain is 10~2 times as local point strain at the same observed stress.This indicates that macroscopical symmetrical rock is quasi-brittle materialwith microcosmic heterogeneousness and its macroscopical mechanicalbehavior is the results of reciprocity and magnification between microcosmiccharacteristic, not simple sum.(4) The degree of irregularity of strain increases with the number of cycle.But degree of irregularity of transverse strain fluctuates larger at the samecycle. Moreover degree of irregularity of transverse strain is larger than that ofaxial strain. This shows that deformation and failure of rock is process ofevolvement of small crack. Small crack evolves from even and out-of-orderstatus to heterogeneous and ordinal status.(5) Ultrasonic speed decreases with the number of cycle. The decreasecourse is such: Firstly, ultrasonic speed fluctuates in a steady scope in somecycles; And then ultrasonic speed quickly decreases to a certain more smallvalue; Afterwards in succedent cycles, ultrasonic speed fluctuates about thevalue. That is to say, ultrasonic speed fluctuates and decreases at intervals ofcycles. In deformation process of rock, quantitative change and qualitativechange of its small crack evolvement carry through crosswise.(6) Strength and modulus of rock decrease with exponential function asscale of specimens increases.

同一表观应力下，局部点应变与表观应变相差可达2个数量级，表明宏观上均匀的岩石是具有细观特征的准脆性材料，其宏观力学行为是细观特征相互作用、放大的综合结果，而不是简单的叠加；(4)岩样轴向应变不均匀程度和横向应变不均匀程度随循环次数的增加渐进增大，但是在同一个循环内，横向应变离散系数随应力的变化波动较大，且同一循环级别下，横向应变不均匀程度大于轴向应变不均匀程度，表明岩石内部微裂纹的演化是岩石变形破坏的本质特征，这一演化表现为微裂纹从均匀无序分布逐渐向非均匀有序发展；(5)随循环次数的增加，所有岩样内部超声波速会出现衰减，衰减过程表现为在某几次循环内超声波速在某一相对范围内波动，然后急剧减小到某一较小值，在随后的循环内，超声波速又会保持在这一较小值附近波动，即超声波速表现为波动和急剧减小间隔形式衰减，表明从宏观看来平稳的岩石变形过程，内部结构演化过程(微裂纹发展及其相互作用)却表现为均匀量变和突发质变不断交叉进行的现象；(6)岩石强度和弹性模量随尺度增大呈指数函数规律减小。

By analyzing the problem of hydrological 3D spatial dispersion in 3D finite differential numeric simulation of porous groundwater flow, as well as discontinuous spatial distribution and asymmetric thickness of porous aquiferous strata and partitive groundwater stratum, the paper presents the GIS-based technique of 3D spatial dispersion of porous aquiferous stratum system. Besides, the paper puts forward the 3D spatial dispersion method of irregular hexahedral unit based on GIS to guarantee to the greatest degree the uniqueness of the stratum types among the dispersed units and improve the precision of 3D spatial dispersion.

分析了目前孔隙地下水流三维有限差分数值模拟中对含水层系统三维空间离散存在的问题，针对自然界孔隙含水层与隔水层空间分布的不连续性与厚度的不均匀性，研究了基於GIS的孔隙含水层系统三维空间离散实现的技术路线，提出了基於GIS与不规则六面体元的孔隙含水层系统的三维空间离散方法，最大限度地保证了离散体元中含水层类型的单一性，提高了孔隙地下水流模拟模型三维空间离散的精度。

By analyzing the problem of hydrological 3D spatial dispersion in 3D finite differential numeric simulation of porous groundwater flow, as well as discontinuous spatial distribution and asymmetric thickness of porous aquiferous strata and partitive groundwater stratum, the paper presents the GIS-based technique of 3D spatial dispersion of porous aquiferous stratum system .

分析了目前孔隙地下水流三维有限差分数值模拟中对含水层系统三维空间离散存在的问题，针对自然界孔隙含水层与隔水层空间分布的不连续性与厚度的不均匀性，研究了基于GIS的孔隙含水层系统三维空间离散实现的技术路线，提出了基于GIS与不规则六面体元的孔隙含水层系统的三维空间离散方法，最大限度地保证了离散体元中含水层类型的单一性，提高了孔隙地下水流模拟模型三维空间离散的精度。

The signals during transformer impulse test are considered to be evolving in time, also is non-stationary signals, so we can design a software algorithm for noise reduction based on discrete Gabor transform, and the basic principle is: The Gabor coefficients of Effective signals during transformer impulse test is centralized in the time frequency range, and the peak-to-peak value is big, whereas the noise Gabor coefficient distribute in the entire time frequency range equally, the peak-to-peak value is small, we can realize the desired signal and the noise separated through frequency mask function.

考虑到冲击试验中的信号都是时变信号，也就是非平稳信号，因此设计了一种基于离散GABOR变换的软件滤波算法对冲击信号进行滤波，其滤波理论依据是：有效信号的Gabor系数在时频域分布比较集中，幅值比较大，噪声的Gabor系数均匀分布于整个时频域，幅值较小，通过构造时频掩模函数来实现有效信号与噪声的分离。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。