查询词典 vector decomposition

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

Owing to Wei-Norman decomposition＇s application being confined in a little time area, in order to obtain the Unitary evolution matrix at any time, a small division of time is proposed in this paper, and Wei-Norman decomposition is used in every small division to obtain the unitary evolution.

由于Wei-Norman分解适用的范围是小时间变化的邻域，为了求出量子系统在任意时刻的幺正演化矩阵，根据量子系统的特性，提出了对量子系统的控制时间进行分段，利用Wei—Norman分解来获得每段小时间的幺正演化矩阵。

Finally, the condition examining and schema decomposition algorithm are given.Fourthly, The definitions of elementary merge dependency set and minimum elementary merge dependency set are put forward. The weak leftside conflict and weak rightside conflict in the minimum elementary merge dependency set are defined. The conclusion that when the minimum elementary merge dependency set has weak left side conflicts or weak right side conflict is reached, The decomposition meeting PEK isα-cyclic is given. The algorithms of calculating the minimum elementary merge dependency set and examining the conflicts are given.

给出了条件的判定算法和数据库模式的分解算法。4、提出初等归并依赖集和初等最小归并依赖集的概念，定义初等最小规并依赖集的弱左部冲突和弱右部冲突，讨论了初等最小归并依赖集下的冲突问题，给出了在FD集F其初等最小归并依赖集D中存在弱左，右部冲突时模式分解为满足PEK为有α环的结论，并给出了初等最小归并依赖集的求解方法，冲突的判定算法。

The non-isothermal kinetic data were analyzed with the Achar equation, Coats-Redfern equation, Kissinger equation, Flynn-Wall-Ozawa equation and Starink equation.The mechanism function and kinetic parameters of the thermal decomposition in the third step were obtained.The chemical reaction mechanism (F3) controlled the third thermal decomposition process.The apparent activation energy and the pre-exponential factor were 351 kJ·mol-1 and 2.57×10 30s-1 respectively.

采用Achar方程、Coats-Redfern方程、Kissinger方程、Flynn-Wall-Ozawa方程和Starink方程对非等温动力学数据进行了分析，得到了第3步热分解反应的机理函数、动力学参数和热分解反应动力学方程，其热分解反应过程受F3机理控制，表观活化能为351 kJ·mol-1，指前因子为2.57×

By using GC/MS, the process of oxidizing reaction of atractylone is studied, and five decomposition products are obtained, which is greatly different from the references-only two decomposition products, and the mechanism of oxidizing reaction of atractylone is investigated. The hypothesized mechanism of reaction is: atractylone is readily to additively react with water and to generate the semiacetalhydroxyl at 1, 4-site.

利用GC/Ms法跟踪分析了苍术酮纯品的分解过程，得到5种分解产物―与文献报道的苍术酮转变成2种产物存在较大的差异；研究了苍术酮的氧化反应机理：苍术酮与水易进行1，4加成反应，生成半羧醛羟基。

The concentrations of CODcr and NH4+ vary from low to high, then from high to low in the process of refuse leaching, that is to say that there are three phases which are aerobian decomposition, facultative aerobian and anaerobian decomposition;(3)The time of landfill reaching to stabilize under the condition of filtration, for landfill of Jinqianpu, is at least 86 years if CODcr is regarded as a index; but is about 98 years when NH4+ as an index;(4)The column leaching experiment simulated is carried on interactivity between leachate and different lithologic characters, water-bearing media of different thickness. Some parameters can be determined by calculation, such as, the retained factor and hydro-chemical transportation rate of pollutants in suspended media, which quantitatively analyse the suspended soil capability of components purification and the pollution scope of water bearing media.

垃圾淋滤过程中和经历了一个由低到高、再由高到低的过程，即垃圾填埋过程中经历了好氧分解、兼性好氧分解及完全厌氧分解等三个阶段；（3）垃圾组分在淋滤条件下分解达到稳定的时间，对于金钱堡垃圾填埋场，若以作为考核指标，填埋场达到稳定化时间至少需要86年；若以作为考核指标，则填埋场达到稳定化至少需98年的时间；（4）对垃圾浸泡液与不同岩性、不同厚度含水层介质之间的作用进行了土柱淋滤模拟试验，通过计算污染质在包气带介质中运移的阻滞因子和水化学迁移率等参数，定量地描述了包气带土层对污染质的净化能力和污染范围。

On the bais of fundamentals of the local wave decomposition method, frequency decomposition spectrum and frequency extraction from seismic signals based on the local wave decomposing method are studied.

在局域波分解基本原理的基础上，研究基于局域波分解的地震信号分频谱及频率属性的提取方法。

To explore the effects of exogenous nitrogen input on the enzyme activity of Calamagrostis angustifolia during litter decomposition in a freshwater marsh, we supplied dissolved NH4NO3 (N0:0; N1:6 g·m-2·a-1;N2:12 g·m-2·a-1) to field plots on the Sanjiang Plain and determined the enzyme activities of litter decomposition within 160 d using litter bags.

以三江平原沼泽湿地典型湿地植物小叶章枯落物为研究对象，采用分解袋法研究了不同外源氮输入(N1、 N2分别为 6 、12g·m-2·a-1)对小叶章枯落物分解过程酶活性的影响，并设置对照区（N0，0 g· m-2·a-1）进行比较。

Image scrambling transform ; Doolittle decomposition ; Crout decomposition ; Gauss-Jordan elimination ; inverse transform ; multiplication inversion

图像置乱变换；杜里特尔分解；克劳特分解；高斯-约当消去；逆变换；乘法逆元

SiO2 causes early decomposition of CaSO4 due to the formation of calcium silicate and dicalcium silicate during the reaction of CaO and SiO2 at high temperature, and the formation of calcium sulphosilicate above 1200℃ helps to retard CaSO4 decomposition.

SiO2在高温下易与CaO发生固相反应形成硅酸二钙和硅酸钙使得CaSO4的初始分解温度降低，在1200℃以后硫硅酸钙的形成对CaSO4的分解有一定的延缓作用。

He has to relate with three women in the movie, and yet remain implicitly faithful to the unseen Lucinda.

让克劳德布里亚里成功地饰演试验了一个难度很大的角色：和三个女人打交道，但还要底下对观众未曾谋面的卢馨达保持忠诚。

The experiment was conducted to study effects of inulin on the growth performance, indices of immune organs and serum immunoglobulin of laying chicklings as well as the performance of inulin which replaced the antibiotics in diets by adding 0.2%, 0.4% and 0.8% of inulin, respectively.

试验旨在通过在蛋用雏鸡日粮中添加0.2%、0.4%和0.8%的菊粉，研究菊粉对蛋雏鸡生长性能、免疫器官指数和血清免疫球蛋白的影响，以及菊粉替代抗生素对蛋雏鸡的应用效果。