双线性的

In chapter 3, the linear approximate method of Bessel function for measuring nanometer vibration is studied. The error of linear approximate is analyzed and the theoretical measurement range of this method is given.

在此基础上，首次提出了一种双光路DSPI振动测量系统，利用退敏感光路使贝塞尔函数线性近似法的测量范围扩大了24倍，由近50nm增至1150nm。

The bilinear programming is converted into a max-min problem on the principle of duality, and a linear approximation algorithm for the max-min problem is presented, which proves to be convergent in finite steps.

利用对偶原理，将双线性规划问题转化为极大极小问题，研究了该极大极小问题的线性逼近算法，并证明了该算法在有限步内收敛。

The applications of the theory in robot translation parameter computation and in Qualitative Scene Model construction are presented.(3) Intrinsic Images and color constancy of Real Color Images Based on the Dichromatic Reflection Model proposed by Klinker [55] , it is the NO. 1 for this paper to measure the spectral relationship of a CCD color camera, to reestablish the linear relationship, to separate the illuminant and object color components in real color images, and to extract the intrinsic image and highlight image from the real color image, as well as to eliminate the influences of highlights upon the usual image segmentation algorithm.

以Klinker[55]等提出的"双色反射模型"为基础，首次测定了彩色摄像机的光强----灰度响应关系，恢复了摄像机的整体线性关系；首次在真实彩色图像（即由彩色摄像机直接获取的图像）中成功地分离了光照和景物的颜色；成功地抽取了本色图像和耀斑图像；在此基础上，又将双色反射模型成功地运用到真实彩色图像的分割方面，消除了耀斑对分割的影响。

In the ***, all types and fundamental principles of Radon transform are summarized systematacially. This *** starts from the general linear Radon transform, and then researches how to use the damped least square method to find the solution of the forward transform. However, the least squares smoothing effect will lead to a certain degree of trails in the data of Radon domain, which led to the application\'s limitations. After that the implementation in Radon domain and relative merits of linear Radon transform, parabolic Radon transform and polynomial Radon transform which have time invariance are introduced, the conjugate gradient method that can solve numerical solution is also given. And then the high resolution Randon transform is discussed, it introduces the regularization theory and Bayes principle into inversion, which successfully remove the negative affect caused by discrete Radon transform. Finally, we introduce the optimal weighting similar coefficient Radon transform, which adapt to the time variant quality of hyperbolic Radon transform.

本文系统总结了Radon变换的各种类型及其基本原理，从τ- p变换(即一般线性Radon变换)出发，研究利用阻尼最小二乘平方法求解其正变换，但是最小平方法的平滑作用会导致Radon域数据存在一定程度的拖尾效应，给这种方法的应用带来了很大的局限性；然后先容了具有时不变性的线性、抛物和多项式Radon变换在频率域的实现及其优缺点，给出了求解其数值解的共轭梯度算法；接着讨论了高分辨率Radon变换，它把正则化思想和贝叶斯原理引进到了反演中，很好的克服了离散Radon变换产生的截断效应对结果的不利影响；最后先容了适应双曲Radon变换时变性质的高分辨率最优相似系数加权Radon变换。

A dynamic model was developed with kinematic differential equation derived for a dual-disc over-hung rotor system with rub-impact fault. The stability of the system and stability regions were studied by setting up nonsingular linear transform matrix and by use of Jacobi matrix in combination with the theory of Routh Hurwitz. Then, the effects on the stability regions of the system were discussed with relevant parameters.

建立了悬臂双盘碰摩转子系统的动力学模型和运动微分方程，通过创建该系统的非奇异线性变换矩阵并利用变换矩阵的Jacobi矩阵结合Routh Hurwitz理论，研究了悬臂双盘碰摩转子系统的稳定性和稳定区域，并进行了相应的参数讨论。

This paper, based on the secong approach, presents a new efficient algorithm to design symmetric bi-orthogonal M-band wavelets with arbitrary regularity by using Grobner basis and syzygy module algorithm in computing algebra, which bi-orthogonalizes the polyphase matrix line by line.

本文基于第二种思路结合计算代数中Groebner基和合冲模的思想和算法提出了一种同时具有任意正则阶和线性相位性质的M带双正交小波的新型高效构造算法，其中采用多相位矩阵逐行双正交化的方法。

Part 6 explores the reaction system containing O-phthalate, Mn〓 and α,α'-diimine, and yields six novel complexes 16～20 possessing binuclear and tetranuclear matello-crown aether as well as 1-D linear structures, indicating that O-phthalate is a potentially useful ligand to give manganese species in a discrete form.

研究了邻苯二甲酸/锰/双齿亚胺（2，2'-联吡啶和1，10-邻二氮杂菲）的反应体系，合成出6个新颖的双核、四金属冠醚和一维线性结构的化合物16至20，表明邻苯二甲酸是合成有限核数锰簇的有用配体。

The applications of the theory in robot translation parameter computation and in Qualitative Scene Model construction are presented.(3) Intrinsic Images and color constancy of Real Color Images Based on the Dichromatic Reflection Model proposed by Klinker [55] , it is the NO. 1 for this paper to measure the spectral relationship of a CCD color camera, to reestablish the linear relationship, to separate the illuminant and object color components in real color images, and to extract the intrinsic image and highlight image from the real color image, as well as to eliminate the influences of highlights upon the usual image segmentation algorithm.

以Klinker[55]等提出的&双色反射模型&为基础，首次测定了彩色摄像机的光强----灰度响应关系，恢复了摄像机的整体线性关系；首次在真实彩色图像（即由彩色摄像机直接获取的图像）中成功地分离了光照和景物的颜色；成功地抽取了本色图像和耀斑图像；在此基础上，又将双色反射模型成功地运用到真实彩色图像的分割方面，消除了耀斑对分割的影响。

In this paper, model of vehicle with double axes is used to study the vibrations of vehicle-bridge dynamic interaction system. The active control law based on linear optimal control theory is designed, In which the transient power flow and displacement at mid-span of bridge are accounted separately.

本文采用能更加逼近真实车辆的双轴车辆模型，应用线性最优控制理论，采用可有效控制一阶振型的双臂弯矩控制系统，分别以双轴车辆输入桥梁的瞬时功率流和桥梁的跨中位移振动响应为目标函数来设计控制律。

In this paper ,The inertia load disturbance is included in the double loop DC motor control system, Analysis of the load moment of inertia and The width of the linear area of nonlinear saturation relationship,use the method of "quasi-equivalent" modeling to model the nonlinear state space of the DLM with variable load,tested the speed response of the real system, and used an improved genetic algorithm to accurately identify the model's parameters.

本文将惯量负载的扰动纳入直流电机双闭环调速系统，分析了负载转动惯量与饱和非线性的线性域宽度λ的关系，运用&类等效&建模的方法，建立了变负载直流电机双闭环调速系统非线性状态空间模型。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新