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The algorithm uses the wavelet decomposition and reconstruction in multi-resolution editing B-spline curves and transforms a zonal matrix or sparse matrix to a row simplified matrix using the properties of the augmented matrix of the system of linear equations,which is a zonal matrix or sparse matrix,by elementary row operation.

该算法利用方程组的增广矩阵为类带状矩阵或者稀疏矩阵这一特点，运用简单的矩阵的行初等变换，将类带状矩阵或者稀疏矩阵化成容易接受的行简化矩阵，解方程组，使小波分解与重构的过程快速准确，使从事相关工作的技术人员更容易理解和接受。

Using SUSAN formed SIFT and ladder-image pyramid structure to achieve the same scale,new algorithm establish a unified set of over-determined equations of all match points.The over-determined linear equations coefficient matrix can be simplified to drop dimension,so simplify the structure of the augmented matrix and whose dimension is reduced to half.

研究了一种多目标识别算法，该算法用SUSAN角点形成SIFT特征点，采用阶梯图像金字塔结构实现尺度不变，为所有匹配点建立统一的超定线性方程组并对该方程组系数矩阵进行简化使其维数降低一半，得到增广矩阵。

This introduction has been written to help alleviate these difficulties by presenting a simplified example of a successful meditator's path of progress as he develops his meditation at Pa Auk Tawya.

这个介绍已经写帮助减轻这些困难的一个成功范例浩浩简化冥想的路径正如他自己发展进步坝羊tawya打坐。

In the light of cost index and pollution degree, the characteristics of kinds of pulp are analyzed in detail, and the GP pulp which is low cost, high-yield, no-pollution is chosen as the material of tableware. Based on material element analyzed, shaping technology is designed, the to and for single plane shaping equipment which is high shaping quality, high production efficiency and is easy to automatize is chosen. All kinds of measure are taken to solve the problems which are inequality in the shaping process of GP pulp, and dosage which matches with GP pulp is chosen. Some ways of fixing shape and heat up are analyzed, the technology of saving energy of heat pressing to fix shape being composed of oil heat and only one fixed shape in the mold is applied, with which it is high production efficiency, low cost to fix shape effectively, which saves energy 30 percent. In order to make the production line meet with material of GP pulp, measure are taken to solve the problem of pulp adhered to netlike molding which can lead to carry material difficult, the structure of fully automatic equipment is renovated, the loaded beam is optimizationally designed to make equipment structure compactand improve location precision and products quality. According to technologic flow and actual characteristic, Omron PLC is chosen as the core of the control system, proximity switch as detect unit take the place of touch switch, software is designed reasonably according to time order figure, hardware is simplified, the reliability of system is advanced, the stability of system is assured to make production order. Intelligence neuron PID system is studied theoretically which is made up of both neuron with self-organizing and self-learning function and ordinary PID with the characteristic of the simple structure and high stability, which can automatically tune the parameter with the change of system parameter, remain perfect performance.

按成本指标和污染程度分析各浆料的特点，选择低成本、高得率、无污染的磨石机械浆为原料，在原料组分分析的基础上，设计成型工艺，选择成型质量好、生产率高、易实现自动化的往复式单板成型机，采取各种措施解决GP浆成型不均匀的问题及选择与机械浆相匹配的助剂；分析几种定型方式和加热方式，采用定型效果好、生产率高、成本低的油加热与模内一次性定型相结合的热压定型节能技术，节能30％；为了使生产线适应磨石机械浆原料，采取相应措施解决由于粘网造成物料转移困难，对全自动设备结构进行改进设计，着重对物料传送系统的关键部件——承载梁的进行优化设计，使设备更加紧凑合理，提高设备的定位精度和产品质量；根据生产线工艺流程和现场特点，选用OMRON CPM1A型PLC为主核心，接近开关作为检测元件，替代有触点开关，选用可编程终端代替常规面板按扭，并按照时序图科学合理地设计软件，有效地简化系统硬件构成，提高系统的可靠性，保证系统的稳定性，从而使生产更加通畅有序；从理论上探索将神经元应具有的自组织、自学习要求与PID控制结构简单、稳定性好的全自动纸浆模塑餐具生产线的研究特点结合起来，构成神经元自适应PID控制器，当参数的变化时，系统能自行参数整定，保持优良的工作性能指标，满足实际需求。

By using the solutions of a new auxiliary elliptic equation,a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations.The main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation.Therefore,the derived algebraic equations are greatly simplified.

利用一个新的辅助椭圆方程将求解非线性发展方程精确解的问题转化为一个代数方程组进行求解，与已有的辅助椭圆方程法的主要不同是，应用这一新的辅助椭圆方程后降低了平衡次数，减少了所得的代数方程组的个数和方程的项数，从而大大地简化了代数方程组的求解。

The mathematical model was simplified with the method of averaging ,and the closed-loop nonlinear feedback control scheme was presented.

用平均法对欠驱动机械臂的拉格朗日动力学模型进行了简化，并基于简化后的模型给出了闭环非线性反馈控制律。

After brief reviewing Zoeppritz′s equation and its simplified equations, this paper introduces recent development of AVO technique.

本文在回顾Zoeppritz方程及其简化形式的基础上对AVO技术的最近发展进行了介绍。

Based on the model of round axial symmetry turbulent jet, three simplified categories of the mitral regurgitant jet were proposed.

通过Field II软件模拟了二尖瓣返流的各种情况，建立了相应的返流数学模型和返流评价标准。

Considering the axial symmetry of the structure, the computation model can be simplified as a planar truss.

考虑到该结构是一种轴对称结构，将结构简化为半榀平面桁架，采用节点平衡理论进行分析。

Based on the prior art, the optical engine according to the invention has the improvements that, three optical axis steering components are respectively introduced into red, green and blue light illumination systems, and an optical axis lengthening structure is introduced into the green light illumination system, so that optical axes of the red, green and blue light illumination systems, each of which is from an LED resource to the optical axis steering component, are counterclockwise rotated for 90 degrees, parallel with each other, parallel with an optical axis of a projection lens, arranged in a same plane and positioned under the projection lens, luminous faces of three LED luminous chips of the red, green and blue light illumination systems are in a same plane, and the three LED luminous chips can be mounted on a same heat-radiating plate, therefore, the heat-radiating system has a simplified structure, and the optical engine has reduced size.

在背景技术所述的光学引擎的基础上作以下改进，在红、绿、蓝光照明系统中引入三个光轴转向器件和在绿光照明系统中引入光路加长结构，旨使：红、绿、蓝光照明系统各自的从LED光源至光轴转向器件部分的光轴朝逆时针方向转动90°、互相平行、与投影镜头的光轴平行、居同一平面和位于投影镜头的下方，红、绿、蓝光照明系统的三个LED发光芯片的发光面居同一平面，三个LED发光芯片可安装在同一块散热平板上，散热系统的结构简化，所述的光学引擎的尺寸减小。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。