双线性

The bilinear form of BBM equation has known, so we can similiarly get the bilinear form of associated DGH equation, then we can get the bilinear form of DGH equation and 1-soliton by a approciate method.

BBM方程的双线性已知，通过恰当的设法可以类似得到关联DGH方程的双线性形式，即得到了DGH方程的双线性形式，并由此得到了DGH方程的1—孤子解。

All real simple Malcev algebra,are classified according to whether or not they have a compatible complex structure and simultaneously we give all the invariant bilinear forms by the killing form of the real simple Malcev algebra or the killing form of it s complexification .

研究实单Malcev代数上的不变双线性型，仿照李代数的情形给出实Malcev代数上的容许复结构、实Malcev代数的复化以及Malcev代数上的不变双线性型等概念，并通过对实单Malcev代数上容许复结构的讨论，将实单Malcev代数上的不变双线性型分为两种情形。

Therefore in recent, the research about bilinear mapping based group signature is also at a start stage, there are no a bilinear mapping based group signature scheme obtains common recognition. There are some design defects in existing schemes, and the security is not very ideal.

所以目前基于双线性映射的群签名还处于一个起步阶段，还没有一个有代表性的基于双线性映射的群签名方案，而现有的一些基于双线性映射的群签名方案的设计缺陷较多，且安全性较差。

A comprehensive research has made in the application of elliptic curve based bilinear mapping in the group signature, security of bilinear mapping is established on the GAP group. Because the DDH problem is easy to solve in GAP, this fact results it is very difficult to design a bilinear mapping based group signature scheme which can satisfy anonymity and the tractability.

对基于椭圆曲线的双线性映射在群签名中的应用进行了深入的研究，由于双线性映射的安全性建立在GAP群上，而在GAP群上的DDH问题是容易求解的，这样导致在基于双线性映射的群签名方案设计中很难同时兼顾群签名的匿名性和可跟踪性。

A comprehensive research has made in designing technologies of bilinear mapping based threshold group signature scheme. A bilinear mapping based chamellon threshold group signature and a forward security threshold group signature were analyzed, the mistakes and flaws in these schemes were pointed out.

对基于双线性映射的门限群签名方案设计技术进行了深入的研究，分析了一个基于双线性映射的卡梅隆门限群签名和一个基于双线性映射的前向安全的门限群签名，指出了这些方案设计中存在的一些设计错误和缺陷。

New parameter estimation Markov recursive algorithm for continuous stochastic linear system and bilinear system is proposed.

基于小波变换的连续随机线性和双线性系统参数辨识Markov方法分析研究了连续维纳过程在小波变换下的统计特性，给出了维纳过程的离散小波变换系数所构成的离散随机过程的协方差矩阵计算和估计方法，基此提出了线性和双线性连续随机系统参数辨识的Markov估计方法及其递推算法。

Firstly, an ID-based signature scheme is proposed based on pairings. The bilinearity and non-degeneration of pairings are explored to make the verification result of the signature vary only with the identity of the signer.

基于双线性对构造了一种基于身份的签名算法，利用双线性对的双线性和非退化性，使得算法中签名矢量的验证结果相对于用户身份为一个常量。

Without using Lie derivative and Lie bracket operation of differential geometry , we only use the algebra method to give a sufficient condition of single input exact feedback linearizable bilinear systems.

摘 要 研究了单输入的双线性系统的精确线性化及其鲁棒控制器设计问题，避免了用微分几何的李导数、李括号的复杂运算，只用纯代数的方法给出了一般单输入双线性系统精确线性化的充分条件。

A costate prediction method based on bilinear model is presented. Using simple general model, two implemental DISOPElike algorithms based on Hopfield network and on temporal decomposition method are proposed respectively.

同时对于具有终端状态等式约束问题，建立了基于时变线性模型的递推DISOPE算法；对于非齐次双线性二次型问题提出了一个迭代算法，并且给出了该算法收敛的充分条件；给出了基于双线性模型的协状态预测算法；利用一般模型，分别提出了基于Hopfield网络和时间分解方法的DISOPE算法。

N-soliton solutions is constructed in the terms of Wronskian and is verified by direct substitution to satisfy the bilinear equation and the associated B〓cklund transformation respectively.

得到了该方程的双线性形式以及B〓cklund变换的双线性形式及普通形式；构造了该方程Wronskian形式下的孤子解，并从双线性方程和双线性B〓cklund变换两个角度对解进行了直接验证。

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