等价变换

Three kinds of equivalent cipher s of AES are presented by separating S-box s affine transformation.

分离了AES密码中S盒的仿射变换，得到了与原密码S盒不同的三种等价密码。

Three kinds of equivalent ciphers of AES are presented by separating S-box s affine transformation .

分离了AES密码中S盒的仿射变换，得到了与原密码S盒不同的三种等价密码。

It has been showed that the quantum PCII can be still valid for the general case Jacobi J 1, which is different from quantum Noether theorem. The equivalence between quantum canonical equation and PCII is deflved at the quantum level. The comparisons of these results in quantum level with those in classical theories are discussed in detail. The relationship of canonical transformation with quantum PCII is obtained.

结果表明，当变换的Jacobi行列式不为1时，量子PC积分不变量仍然存在，从而把PC积分不变量推广到了最一般情形；在量子水平上，证明了量子正则方程与该积分不变量之间的等价性；比较了经典与量子PC积分不变量以及PC积分不变量与Noether定理；给出正则变换与量子PC积分不变量间的关系。

Through an infinitesimal contact transformation, the system was deduced to a torque-free rigid body with moments of inertia varying periodically with time. It can be taken as a Euler-Poinsot motion perturbated by small periodic excitation.

通过无限小接触变换，将系统等价为无力矩作用下自由刚体运动，但其转动惯量仍随时间周期地变化，从而化作周期摄动的Euler-Poinsot运动。

For the linear discrete stochastic descriptor systems with multisensor, using me smgu, ar value decomposition, it is transformed into two reduced order subsystems, and a new fusion method of constructing the original state fuser based on the transformed state fuser is presented.

对于带多传感器的广义线性离散随机系统，应用奇异值分解，将其变换为等价的两个降阶多传感器子系统，提出了基于变换后的状态融合器构造原始状态融合器的新的融合方法。

Then we in-vest gate Seiberg-Witten map, which defines the equivalence relation of the gauge symmetries in different spaces. We also analyse the U gauge electromagnetic field in noncommutative space. Finally we discuss the ambiguities of Seiberg-Witten map, and find although that some part of the ambiguities can be absorbed by gauge transformation and hence negligible, the existence of the matter field makes some other parts difficult to be absorbed by gauge transformation or field redefinition.

然后利用Seiberg-Witten映射，我们研究了不同空间的规范对称性的等价问题，并对非对易空间的电磁场进行了微扰分析，最后我们对Seiberg-Witten映射的松动进行了讨论，研究发现这些松动中的一部分可以由规范变换吸收因而是可以忽略的，由于物质场的存在，另外一部分很难用规范变换和场的重定义吸收。

Further, with the help of Riccati equations, an infinite number of conservation laws for the solton hierarchy are deduced. For the sake of simplicity, taking the general TD hierarchy as an illustrative example, we prove that its 2×2 Lenard pair of operators forms a Hamiltonian pair. Thus the isospectral evolution TD hierarchy is the general Hamiltonian system and possesses the Bi-Hamiltonian structures and Multi-Hamiltonian structures. By using the method of derivation of functional under some constraint condition, a complete one-to-one correspondence between the Hamiltonian functions of the hierarchy and its conservation density functions can be built. These results can also be applied to the isospectral evolution soliton hierarchy of this paper. Finally, there's a gauge transformation between the spectral problem of this paper and the AKNS system. Moreover, the potentials in these spectral problems satisfy the general Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.

进一步本文还通过特征函数的组合关系所满足的Riccati方程，得到了该等谱方程族的无穷多个守恒律；为简便起见，本文以广义TD族为例，由它的2×2 Lenard算子对的性质证明了此算子对为Hamilton算子对，这说明广义TD族是广义Hamilton系统且具有Bi-Hamilton结构和Multi-Hamilton结构；进而利用它的依赖于谱参数的一般守恒密度的积分在约束条件下求泛函导数的方法，得到了广义TD族的Hamilton函数与守恒密度之间的对应关系，这些性质对于由本文提出的2×2谱问题所导出的等谱孤子族仍成立；另外此谱问题与AKNS系统存在着规范变换，位势之间有广义Miura变换，而孤子方程之间也满足一定的等价关系。

Uncertain singular systems are transformed into the form of restricted equivalence by a nonsingular linear transformation. By the method of Lyapunov function, a new terminal sliding mode control strategy based on the form of restricted equivalence is proposed for the first time, and the hypersurface of a special terminal sliding mode is given. A terminal sliding mode controller is designed correspondingly such that the motion of sliding mode can be guaranteed and the systems state variables can converge to the equilibrium point in a finite time.

通过非奇异线性变换把不确定奇异系统变换成受限等价形式，利用Lyapunov函数方法，首次提出了一种新的Terminal滑模控制策略，给出了特殊的Terminal滑模超曲面，设计了相应的滑模控制器，实现了滑模运动，保证了系统状态变量在有限时间内收敛到平衡点。

In order to improve the expression capability and the performance ofthe graph transformation in applying to software evolution, a softwareevolution operation description language SEOL (Software EvolutionOperation Language) is proposed, and the structured operational semantics on SEOL is studied, and then the semantic equivalence analysismethod about software evolution operation is described. To the SEOLexpression, the dissertation builds the corresponding processingmechanisms, which include the basic principles and the processing flow,and discusses the graph transformation description in SEOL.

为提高图变换在软件演化应用中的表达能力和处理性能，结合谓词逻辑，论文提出了软件演化操作描述语言SEOL(SoftwareEvolution Operation Language)，研究了SEOL语言的结构化操作语义，指出了软件演化操作语义等价的分析方法，针对SEOL语言表达式，构建了相应的处理机制，包括处理的基本原理和处理流程，讨论了图变换操作的SEOL描述。

Via basic and descriptor adverse transformation of matrix, an equivalent standard linear system is derived. Sufficient and necessary conditions are established for observers with disturbance decoupling and LTR in systems. Analysis showed that the necessary and sufficient condition for observers with LTR is disturbance decoupling to any undnown inputs. So it is con verted to the problem that observers are designed with disturbance decoupling.

通过矩阵的初等变换和广义逆变换，将非方广义系统等价地转化为正常状态空间的广义线性系统，并运用有关定理给出观测器具有干扰解耦和环路复现特性的充要条件，经分析可知，系统具有环路复现特性的充要条件是系统对于任何未知输入干扰解耦，则具有环路复现特性的干扰解耦观测器的设计问题转化为系统关于任何扰动都是解耦的。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。