离散化

This modular web- and client/server-based solution has been implemented used in Australasian, Asian, and African organizations ranging from 40 to 25,000 employees.

它是一个由46个独立的模块组成的模块化解决方案，包括针对重复型、离散型和流程型运营的特定应用程序。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

In view of crosswell and 3D VSP layout, we use high resolution Radon transform based on Cauchy distribution to perform Radon transform for hole data. In this process, we study discrete dip overlay operator, improve damping factor that affects Radon energy convergence in order to let Radon energy converge, 6 resolve leggy in Radon data, and decouple smoothing effect among each energy group, we use Cauchy distribution to regularize data, let energy focus on one point, and improve Radon resolution. All these work well in wavefield separation. Finally, by inversion results and model trial, we verify the feasibility and stability of this method.

在Radon变换原理分析基础上，采用基于柯西分布的高分辨率线性Radon变换对井孔数据进行Radon变换，其间通过对离散倾角叠加算子求取的研究，及对影响Radon能量收敛的重要参数阻尼因子算法的改进，使数据在Radon域以能量团的形式呈现，得到很好的收敛效果，基本解决了Radon域数据的一定程度的拖尾现象，消除了各能量团之间的平滑效应，采用柯西分布来规则化数据，提高了Radon域的分辨率，Radon域能量也收敛到一个点上，有利于上下行波或纵横波波场分离。

In view of crosswell and 3D VSP layout, we use high resolution Radon transform based on Cauchy distribution to perform Radon transform for hole data. In this process, we study discrete dip overlay operator, improve damping factor that affects Radon energy convergence in order to let Radon energy converge, 6 resolve leggy in Radon data, and decouple smoothing effect among each energy group, we use Cauchy distribution to regularize data, let energy focus on one point, and improve Radon resolution. All these work well in wavefield separation.

在Radon变换原理分析基础上，采用基于柯西分布的高分辨率线性Radon变换对井孔数据进行Radon变换，其间通过对离散倾角叠加算子求取的研究，及对影响Radon能量收敛的重要参数阻尼因子算法的改进，使数据在Radon域以能量团的形式呈现，得到很好的收敛效果，基本解决了Radon域数据的一定程度的拖尾现象，消除了各能量团之间的平滑效应，采用柯西分布来规则化数据，提高了Radon域的分辨率，Radon域能量也收敛到一个点上，有利于上下行波或纵横波波场分离。

For Hu invariant moment having no scale invariance, two modified algorithms are proposed: one is based on the normalized central moment coming from the concept of image square and the other is based on constructing a new invariant moment.

主要贡献如下： 1。针对离散情况下Hu不变矩特征仅仅具有平移、旋转不变性，不具有比例不变性的问题，提出了两种改进算法：一种是从图像正方形概念演变而来的归一化中心矩的修正；另一种是重新构造新的不变矩特征。

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。

In the final rendering period, the color field, directional point splatting and color refining technologies were applied to obtain a smoothed image of fire from discrete locations of particles.

在粒子渲染过程中，采用了色度场、有向点扩散和颜色锐化技术，由离散的粒子空间分布得到了较为理想的连续火焰图像。

In spite of the granular nature, soil has traditionally been modeled as a continuum. This continuum mechanics cannot get the precise solution while soil\'s nonlinear, discontinuous, large deformation, and strain localization behavior are considered. The discrete element method is based on discontinuum theory, and is pioneered by Cundall.

土是由多相介质组成的离散颗粒集合体，尽管研究者早已在土的散粒状属性上达成共识，但关于土体力学性质的研究还经常沿用连续介质力学方法，这种基于连续体小变形假设的方法在求解实际土体非线性、非连续、大变形、应变局部化问题时往往无法得到精确解答。

The standardized specification language and interactive graphical interface provides users some advanced functions, such as visual modeling of the Combined Continuous/Discrete Event System, management of simulation projects and models, design of experimental frame, experiments of simulation, data storage, real-time and off-line presentation of simulation results, diagrammatic analysis of simulation results.

它采用规范化的描述语言和图形化人机界面，支持用户完成连续—离散事件混合系统建模、仿真项目和模型管理、实验框架设计、仿真实验、数据存储、仿真结果的实时和事后表现、仿真结果的图表分析，具有比较完善的面向对象的多媒体建模和仿真功能，是国内第一个面向对象的多媒体仿真环境。

Using the subnet models to establish the flexible logistics automated system which is built and study its logistics process control question. Because of using modular modeling method, the model possesses good extensibility and good transplant ability. Furthermore, the model has self-revisionary ability and include discrete system and continuous system as a result of using self-controlled hybrid Petri-nets modeling method.

由于采用模块化建模的方法，建立的柔性物流自动化系统模型具有扩展性和可移植性好的特点，同时，由于采用自控混合Petri网方法建模，该模型是一个包括离散系统和连续系统的模型并具有在运行过程中进行自我修正的能力。

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。