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We first got the PML equations by making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Grding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experiments which show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程,然后在关于吸收参数的假设下,证明了PML问题变分形式中的半双线性形式满足Grding不等式,进而证明了PML问题解的存在惟一性,并给出了数值实验。实验结果表明,该方法有一定的可行性。

We first got the PML equationsby making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Garding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experimentswhich show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程,然后在关于吸收参数的假设下,证明了PML问题变分形式中的半双线性形式满足Garding不等式,进而证明了PML问题解的存在惟一性,并给出了数值实验。实验结果表明,该方法有一定的可行性。

We have the "Tomb Raider 2" image to illustrate: in Figure III, a 3D accelerator card as a result of the closure of the "bilinear interpolation" function, in the figures behind the wood on the left there is a clear " mosaic "phenomenon.

我们还是采用《古墓丽影2》的图像来说明:在图三中,由于关闭了3D加速卡上的"双线性插补"功能,在人物身后左边的木桩上出现了明显的"马赛克"现象。

Starting from two-line soliton solution of an integrable2+1-dimensional system in bilinear form,one can find a dromion solution that is localized in all directions for a suitable potential.

从2+1维双线性形式的非局域BussinesqNLBQ方程和KP方程的隐线孤子解出发,可以找到与某种势所相应的各方向都指数衰减的dromion解。

In section 3 ,we will introduce bilinear form B on Lie colour algebra L. is called quadratic if B is color symmetric .non-degenerate and invariant .In this case ,B is called an invariant scalar product on L .

第三部分介绍了具有双线性型B的李color代数L,如果B是color对称的,非退化的和color不变的,则称是二次李color代数,B则称为不变数量积,给出了理想非退化的定义。

Though analyzed the existing schemes, a bilinear mapping based group signature scheme with multi-security strategies proposed, the proposed scheme satisfy the all security requirements for group signature completely.

在对现有的方案进行分析的基础上,提出了一个具有多种安全策略的基于双线性映射的群签名方案,方案很好地满足了群签名的全部安全需求。

In the paper, under the condition of that a singular system is admissible, stable controls for a bilinear singular system are designed by using two kinds of Lyapunov function respectively, and the two above control display different forms. At the same time, the control restrained by upper and lower bound is examined.

利用所构造的两种广义Lyapunov函数,在广义系统容许的条件下,分别设计了双线性广义系统的稳定控制,且上面存在的2种控制具有不同的表现形式。

Identity-based threshold signature is studied in this dissertation, and all identity-based schemes in this dissertation are based on bilinear pairings.

本文对基于身份的门限签名进行了研究,文中所涉及的基于身份的方案都是基于双线性对的。

In this paper,the security of the YHSW scheme is analyzed.The bilinear parings and Hash function are adopted to propose an id-based multi-proxy multi-signcryption scheme with the property of proxy revocation.

分析了YHSW方案的安全性,并利用双线性对和哈希函数,提出了一个可撤销代理权的基于身份的多代理多签密方案。

A new ID-based Chameleon signature scheme is proposed in this paper which is based on the bilinear pairings. It's secure under Random Oracle.

利用双线性对,提出一个新的基于身份的变色龙签名,在随机预言机下是安全的。

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