函数矩阵

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。

Secondly, a conjecture about the stability for these systems is proposed based on the sufficient and necessary condition of the isolated transfer function being positive real. When the zeros and poles of the transfer functions lie in the imaginary axis, a known conclusion is derived from the conjecture; while the zeros and poles are on the real axis, a new result is obtained and is proved in this note. Finally, according to the conjecture, an example with poles existing on the complex plane is presented, which is not only interesting but also challenging.

然后， 基于所有孤立部分传递函数都正实的充分必要条件给出了上述系统为稳定的一个猜想，当传递函数的零极点都位于虚轴上时，由这一猜想得到了一个已知的结论；当传递函数的零极点都位于实轴上时，由这一猜想得到了一个新的结论，本文证明该结论是正确的；最后，根据这一猜想，给出了传递函数极点位于复平面的一个例子，它涉及到一类系数矩阵为时变正定矩阵的振动方程的稳定性问题，值得去深入研究。

Projectors and monitoring hydrophones are placed n a chamber along its length. The projectors are driven By the required drives that are calculated aceording to a measured transfer matrix, and amplitude, frequency and incident of the predicted plane wave. Then the acoustic pressure field distribution which is equivalent to the predicted plane wave of any incidence is set up in the chamber. A prototype calilbration system has been developed.

在管中沿管轴方向布置一系列发射换能器和监测水听器，根据实测得到的传递函数矩阵和所要模拟的平而波频率、幅度和入射角计算得到一组发射换能器驱动信号的幅度和相位，然后以此信号激励每个发射换能器，就能在管中形成一个等同于任意角度入射的自由场平面波声场的声压分布。

In this dissertation, we mainly use character matrix to research cryptology characteristic of Boolean function and m-ary logic function.Firstly, by using properties of character matrix's row and column we get an equivalence condition of bent function. Then we have an entirely construct method of 4 variable bent function.

本文利用特征矩阵研究了密码学中逻辑函数的相关问题，主要做的工作有：首先，根据Bent函数的自相关特征，利用特征矩阵给出了Bent函数的一个新的等价判别条件，并由此得到了4元Bent函数的一个完全构造方法。

Based on the singular value decomposition of kernel matrix, SVD-LSSVM was proposed, which oan save time for hyper parameters selection via cross validation.

本文利用核函数矩阵的奇异值分解，得到了可以节省超参数选取时间的分类器：SVD-LSSVM。

The new sparse algorithms were applied to several real life pattern classification problems.6. Based on the singular value decomposition of kernel matrix, SVD-LSSVM was proposed, which oan save time for hyper parameters selection via cross validation.

另外，本文提出的稀疏化算法可直接应用于多类问题。6、本文利用核函数矩阵的奇异值分解，得到了可以节省超参数选取时间的分类器：SVD-LSSVM。

This is a vast collection of computational algorithms ranging from elementary functions like sum, sine, cosine, and complex arithmetic, to more sophisticated functions like matrix inverse, matrix eigenvalues, Bessel functions, and fast Fourier transforms.

MATLAB 的工具箱函数库收集了大量的数学函数，从求和，正弦，余弦以及复杂的算术运算等基本函数，到矩阵求逆，矩阵求特征值，贝塞尔函数和快速傅里叶变换等复杂函数。

A method to identify the damping parameters of machine joint surface is proposed based on the tested frequency response functions.

提出一种基于实测传递函数矩阵来识别机械结合面阻尼参数的新方法。

A method to identify the damping parameter s of machine joint surface is proposed based on the tested frequency response functions.

提出一种基于实测传递函数矩阵来识别机械结合面阻尼参数的新方法。

The transformed systems need not to have special forms and there are no restrictions on the types of nonlinearity contained in systems. The only requirement is that the two matrice defined in the paper should be a controllable pair at every point.

它不要求线性化微分同胚变换后系统具有特定形式，对系统所含非线性也不作限制，它只要求变换后系统的两个特定函数矩阵在点点均为能控对。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。