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Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Shadow effect can not be neglected for thermal analysis of spacecraft,Accroding to the angle between solar light and antenna orbit plane and its orbit location,analytical geometry method was used for accurately calculating solar radiation heat flux distribution of reflector surfaces.To analyze the temperature field under heat flux,the formulations of net radiation flux density between two gray elements and the net flux density of gray surface under external thermal flux were deduced.Based on the characteristic of space environment,the nonlinear temperature distribution in transverse direction of reflector shell self radiation were considered,the finite element formulations were given for orthogonal material layered shell by Galerkin method.A layered element including a inner heat source layer was proposed,and the finite element formulation expressed by DOF of the inner heat source layer were put forward with temperature and heat flux boundarys between adjacent layer.

单馈反射面赋形天线是未来星载天线发展的一个重要形式，分析了基于物理光学、几何光学和几何绕射理论的理想反射面辐射场；介绍了基于几何光学的反射面天线赋形方法；针对赋形过程中辐射场的快速分析要求，比较分析了基于物理光学的Fourier-Bessel和Jacobi-Bessel级数展开方法以及GB展开分析方法；利用GB展开快速分析方法在20GHz频率下对0.6m口径的天线进行赋形分析，实现中国大陆的30dB增益覆盖，通过数值计算研究了固定增益期望下的口径尺寸随频率的变化，以及频率为20GHz的不同尺寸天线赋形后的覆盖目标区域最大增益的变化情况。

The experiment showed that the detergency ratio P≥1 for kinds of 18 in all of formulations compared with the standard detergent powder, two of the 18 formulations are the best.

实验表明：有18种配方其相对标准粉的去污比值P≥1。

One of the oldest and most commonly used formulations is the transformation theory invented by Cambridge theoretical physicist Paul Dirac FRS, which unifies and generalizes the two earliest formulations of quantum mechanics, matrix mechanics and wave mechanics.

最古老之一和最普通使用公式是变换论，由剑桥理论物理学家保罗·迪拉克皇家学会会员发明，它统一和概括了最早的两个量子力学公式，矩阵力学和波动力学

Is made of proficient in natural latex gloves, synthetic latex gloves production equipment, production process technology and production management of the senior engineers, the company's technology is strong, latex and synthetic latex production equipment, technology, formulations and processes are the use of domestic and foreign advanced technology; companies design and manufacture of toys latex balloons, inspection gloves, medical gloves, nitrile gloves, household latex gloves production line using Japan, Malaysia, Taiwan and the United States advanced technology and process formulations, medical hand / Frederick Hand / nitrile powder-free online home cashmere hand spray / electrostatic flocking automation, product one-time high pass rate to meet the FDA and CE requirements; latex protective gloves wrinkles, PU / PVC / nitrile gloves production technology advanced, the quality of export products to meet the CE safety requirements, the company based on the credibility and quality first, customer satisfaction with the first principle, sincerely welcome old and new customers to purchase, we will serve you faithfully!

安徽天源乳胶技术有限公司是由精通天然乳胶手套、合成胶乳手套生产设备、生产工艺技术及生产管理的高级工程师组建，公司技术力量雄厚，乳胶及合成胶乳产品的生产设备、技术配方和工艺均采用国内和国外的先进技术；公司设计制造的乳胶玩具气球、检查手套、医用手套、丁腈手套、家用乳胶手套生产线采用日本、马来西亚、台湾和美国的先进技术和工艺配方，医手/检手/丁腈在线无粉，家手喷绒/静电植绒自动化，产品一次性合格率高，满足FDA和CE 要求；乳胶劳保皱纹手套、PU/PVC/丁腈手套生产技术先进，出口产品质量满足CE安全要求，公司本着信誉第一、质量第一、客户满意第一的原则，热诚欢迎新老客户光临选购，我们将竭诚为您服务！

Take initiative to partner with the market development department to develop new formulations including premix formulations and new formulation types.

市场开发部合作，自主开发新配方，包括混配和新剂型）？

Facing a small number variety and no rational composition pesticide formulations in our country, we should impose restrictions on the pollution environment pesticide formulations and extend safety its on the environment from many-sided.

面对我国农药剂型品种少及结构不合理，我们应该从多方面入手，限制污染环境的农药剂型，推广对环境安全的农药剂型，开发多种性能的农药助剂及加强基础理论研究等。

The distribution of gear's contact stress, root stress, and contact engagement line in the engagement situation of gear pairs, were obtained on the base of explicit integration method. 3. Adopting the method of system matrix, the torsional vibration differential equation of general shafting was gained. The simple harmonic forms of excitation torque under the normal combustion or piston flameout of in-line engine and v-type engine were analysed. The decoupled algorithm of free vibration and forced vibration and the solution to the vibration damper's energy of resistance and the off-resonance calculation were studied. The sensitivity formulations of the natural frequency and vibration mode to physical parameters of system were derived by solving the eigenvalue problem. These sensitivity formulations provided the theoretical base for the dynamic modification of structure.

运用系统矩阵法建立了轴系的扭振微分方程，并对直列和V型发动机在正常发火和气缸熄火工况下的激振力矩进行了详细的简谐分析；基于精确方法推导了自由振动和强迫振动的解耦算法，给出了能量法计算中的减振器阻尼功求解和非共振计算方法；并研究了曲轴系扭振非线性分析中的变惯量问题，得到了单缸转动惯量的精确求解公式以及变惯量和固有频率的关系式；最后，从特征方程和振型正交性出发，推导了固有频率和振型对轴系转动惯量和刚度等物理参数的灵敏度，为扭振系统的结构动力学修改提供了理论基础。

Several calculation formulations have been established, which possess the advantages of that ①any of the final formulations is a linear algebraical equation system with respect to parameters of nodal displacement and velocity;②much higher accuracy can be obtained than the direct integration methods of dynamic analysis;③arbitrary number of time elements can be chosen when the space—time model is applied; and ④calculating procedures are quite simple since several time—coefficient matrices are introduced to the formulations.

当采用时间—空间有限元模型时，对时间单元的数目没有任何限制；(4)由于引入了时间系数矩阵，使计算过程大大简化，并且可引用已有的各种单元分析成果，具有很强的通用性。

3D-CTM (Coupled Thermo-Mechanical Forming Simulation) software for precision forging process of aero-engine blade was developed. The key technologies of 3D coupled rigid-viscoplastic thermo-mechanical FEM simulation of blade forging process were studied systematically. By using the remeshing method of contracting from the boundary to the inner, new mesh system from old distorted mesh system can be obtained. A method of modifying the position of nodes touching on the die according to its original normal was proposed to avoid "dead lock" problem due to uncontinuity of normal of scatted die meshes. The pseudo-static iterative algorithm was used to simplify the coupled thermo-mechanical computation. In particular, formulations to determine relaxation factor β was established for rigid viscoplastic FEM adopting penalty function method, and an improved cubic factor rapid algorithm derived from these formulations was proposed by combining with the advantage of advance and retreat search method.

采用基于边界构形的内缩法，实现了三维畸变网格的重新划分；提出了初矢修正法对触模节点的位置进行修正，解决了由于离散的模具网格的法矢不连续造成的&死锁&问题；采用准静态迭代法简化了速度场和温度场耦合计算过程；特别是针对减速因子β的选取，建立了适用于三维复杂成形过程刚粘塑性罚函数法有限元三次因子法的计算公式，并结合进退搜索法提出了改进的三次因子快速算法，提高了模拟计算效率和稳定性，在此基础之上，开发了面向叶片精锻过程的三维刚粘塑性热力耦合有限元模拟分析系统(3D-CTM)，系统的可靠性得到了圆柱体镦粗的验证。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。