双线性的

In th is paper, w e p ropo se a cert ificateless ring signature scheme, based on the bilinear pairings, w h ich p rovides uncondit ional anonym ity, and p rove th is scheme is existent ially un fo rgeable under adap t ive cho se2message at tack s, in the random o raclemodel, assum ing that the computat ionalD iffie2Hellman p roblem is hard to so lve.

摘 要 在这篇文章里，我们用双线性对构造了一种无证书的环签名方案，并证明它是无条件匿名的，且在随机预言模型中，计算性D iffie2Hellman 问题是难解的，我们方案在适应性选择消息攻击下是存在性不可伪造的，它的安全性比在基于身份的公钥密码体制下高。

It is true that the discrete version of Korn's second inequality does not hold in the standard Crouziex-Raviart 1 element space. In [24] , the strain tensor was modified, at the same time, the bilinear form changed, as a result the modified discrete version of Korn's second inequality holding in the standard Crouziex-Raviart 1 element space.

我们知道，在标准的Crouziex-Raviart 1元空间中第二Korn不等式的离散形式是不成立，Falk在[24]中修改了应变张量，相应的弹性问题的双线性型也被修改，这样，修改后的第二Korn不等式的离散形式在标准的Crouziex-Raviart 1元空间中成立。

Ringel realized positive parts of semisimple Lie algebras in the framework of Ringel-Hall algebras. The main result of this thesis is to build a geometric and topological model over triangulated categories such as derived categories and stable module categories of repetitive algebras. We defines a Lie bracket by Euler characteristics of constructible subsets and thus realizes infinite dimensional Lie algebras of various types with non-degenerated bilinear form.

本文的主要结果是在导出范畴和重复代数的稳定模范畴等三角范畴水平上建立相应的几何-拓扑模型，并利用相应可构集的欧拉示性数定义了一个Hall代数的交换子乘法，从而在三角范畴水平上实现了一大类无限维李代数的整体构造，并且这类李代数本质上都具有非退化的不变双线性型。

Using the proposed identification and control strategy, the identification results of two kinds of systems and the simulation of a bilinear process control system are presented. The generality of the model and the simplification of identification and control method together with the simulation results show that the above strategy has strong possibility to nonlinear system and high order system identification for process industries and the excellent control performances superior to a standard PID controller for the same process.

用该方法进行了两个非线性系统的模型辨识和一个双线性系统的控制仿真，模型的通用性、辨识和控制方法的简单易用和仿真结果表明，所提出的方案对过程工业和非线性、高阶系统有很好的实用性，有着比标准PID控制器好得多的控制效果。

The algorithm adopts classical bilinear interpolation algorithm in the area of image other than the edges;concurrently the stairway detection is further made according to the outcomes of Canny edge detection to sift out the horizontal and vertical edges which will not produce jaggies distortion;but in edge areas where severe jaggies distortion will occur when using classical algorithm,the stairway thinning-based interpolation algorithm is implemented.This interpolation algorithm keeps stairways from being enlarged when zooming out the image,hence the goal of reducing jaggies distortion is achieved.

该算法在图像的非边缘区域采用经典的双线性插值算法；同时根据Canny边缘检测的结果，进一步进行阶梯检测，滤除不会产生锯齿失真的竖直和水平边缘；而在使用经典算法会产生严重锯齿失真的边缘区域，运用基于阶梯细化的插值算法；该插值算法在放大图像的同时，抑制边缘中的阶梯被放大，从而达到减少锯齿失真的目的。

The results of this study indicate that: 1 the post–surcharge secant secondary compression index decrease with the increase in surcharge ratio; 2 the amended post-surcharge secant secondary compression index also decrease with the increase in surcharge ratio; 3 time at which secondary compression reappears increases with the increase in surcharge ratio; 4 the post-surcharge secondary compression strain rate under the same final load with surcharging and without surcharging have a linear logarithm to logarithm relationship.

根据研究的结果显示：1超载比愈大，后超载割线二次压缩指数所受到的折减愈大，表示对软弱粘土的二次压缩沉陷量改良效果愈好；2修正之后超载割线二次压缩指数亦随超载比的增加而折减；3二次压缩再现时间与超载比的关系显示，增加超载比会延迟二次压缩再现的时间并可将分析结果以一均值曲线表示； 4对后超载应变速率分析发现在相同最终载重，未受超载作用与受超载作用的二次压缩应变速率呈现一双对数的线性关系。

On our test run, the car was agile, the linear performance of both supercharged and turbocharged was perfect for daily and sporty motoring. We discovered that from 3000 to 4000 revs, the engine was more powerful in particular on the "Sport" mode. The boost meter gave clear indication of power being built up and it was handy to notice. The lever gear control on the steering was very good in straight line. We noticed that the gear shifter was much more convenient to use in all circumstances.

在我们的试车过程中，GT是十分敏捷及享有一个线性的表现，双加压部件合作无缝，这种表现是十分适合日常及运动性的表现，我们发现GT於3千至4千转数时它的彭拜动力是同类型车种中罕有的，特别是在&Sport&模式当中，压力表中显示出动力的积蓄亦可以清楚易见，於方向盘背后的两旁的方便传档板，於大直路时使用十分方便，可以更敏捷转波。

Analysis of Zheng et al's blind signature based on bilinear parings shows that it doesn't satisfy blindness.The improved scheme overcomes the disadvantage of it and also retains the merits of the original blind signature scheme based on bilinear parings.

分析郑卓等人的基于双线性对盲签名方案后发现其也不具有盲性，改进后的方案在保留原方案优点的同时克服了原方案的安全隐患。

Part II of this paper studies the structure of symmetric self-dual Lie algebras.

假设李代数g带有一个与Killing具有相同性质的型B，即具有双线性性，非退化性，对称性和不变性，由于这样的李代数g的伴随表示与它的余伴随表示等价，我们称李代数g为对称自对偶李代数，称型B为它上的一个不变数积。

Yanowitz algorithm which interpolates the image grey by gradient imformation. Then it can get water meter frame information by horizontal and vertical projection, and extract line by improved Hough transform. Finally, the image can be corrected by affine transform.

Yanowitz算法，能够很好的分割目标和背景；再利用水平和竖直投影提取水表表框信息；然后再利用改进的Hough变换提取表框范围内直线，对结果进行统计分析，求出水表的倾斜角度；最后采用逆仿射变换的方法，对表框图像进行双线性插值旋转，得到表框的矫正图像。

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