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The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题,特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法,其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数,其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障,对该函数求逆的陷门由矩阵的特征值或特征向量提供。

On the base of introduction of circular cavity eigenfield and its reflection coefficient,the self-consistent field description of whispering-gallery mode in circular cavity is discussed.

在引进圆腔特征场及其反射系数的概念基础上,讨论了圆腔回音壁模的自洽场描述。

Machine tool ; Cutting chatter ; Time-varying system ; AR model spectrum ; Modal damping ratio ; Characteristic root

机床;切削颤振;时变系统; AR模型谱;模态阻尼率;特征根

The models have been applied to an investigation on the chatter in a type Mx-4 lathe. An in-depth study has been made on the AR spectrum, the chatter modal damping ratio and the characteristic root of a time-varying system.

文中对时变金属切削过程颤振的AR谱特性、颤振模态的阻尼率、时变系统的特征根这三个方面都进行了深入的研究,指出了时变金属切削过程颤振的特点,提出了颤振状态下的机床切削系统仍然是稳定系统的观点。

Based on the analysis of the features of virtual design, such as the combinations of quantitative design and qualitative design, parallel and serial design, green manufacturing-oriented design, the closed loop architecture of virtual design system, including the iterative steps of converse engineering and digital modeling, physical prototyping, physical testing, is proposed.

本文在分析机械产品虚拟设计定性与定量相结合、串行与并行相结合、面向绿色制造的设计等主要特征的基础上,构造了一个包含反求工程与数字化建模、物理原型、物理测试等环节在内的机械产品虚拟设计可迭代框架,并以鼠标外模的虚拟设计过程为例对这一框架进行了详细说明。

And the equation of free vibration, which settle for the displacement compatibility condition is presented.

在两端简支的边界条件下,推导出基于正交异性理论的自由振动特征方程;使用模态分离的方法,推导出位移和变形协调条件的自由振动方程。

Utilizing the complex multiplication property of the curves and using a modulo reduction and Frobenius expansion technique, Bring forward that there is a fast point multiplication method without precomputation on the curves, which is 6 times fast than the ordinary repeated-double-add method.

针对一类特征3的Koblitz椭圆曲线的点乘算法,利用这类曲线的复乘性质,使用模约减和Frobenius展开技巧,提出一种不带预计算的快速点乘算法。

We investigate the accuracy of sliding mode of continuous- time variable structure control systems by using computer simulation technique.

变结构控制系统是一类典型的非线性控制系统,其运动特征是滑模运动。

Error analysis of digital instruments on their characteristic parts including sample/holder circuit error and analogue/digital convector error was reviewed in this paper. With the help of some examples and data tables, error origins and the synthetic method were discussed.

评价了数显仪特征部分误差分析方法,包括:采样/保持电路、模数转换单元的误差,并通过典型例子和列表数据分析了多种误差源及其综合计算方法。

In this part, the characteristics of transient responses of flexible rotor systems with arbitrarily distributed mass on isotropic or anisotropic supports passing through several critical speeds seguencially are examined. Here, the current knowledge of rotor dynamics on the eigenproblem of damped free whirling vibration, the generaliged damped mode theary, the transient forced vibration and so on combined with KBM asymptotic method in the nonlinear vibration theory is employed and extended.

作者综合运用并引伸推广转子动力学关于阻尼自由回旋振动的特征问题、广义阻尼模态理论、瞬态强廹振动等現代理论和方法,结合非线性振动理论中的KBM渐近法,提出自己独創見解和覌点,成功地建立起正回旋和逆回旋两种情况下转子通过临界点的瞬态振动一阶微分方程组,可以在临界点的邻域内从事方程的数值积分计算。

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