基于拓展广义整数变换的无损信息隐藏方法

为使用于无损信息隐藏的广义整数变换更具普遍意义并提高数据嵌入容量,该文在对广义整数变换进行拓展的基础上提出一种图像无损信息隐藏新方法。该方法通过对广义整数变换引入可变参数m进行拓展,可在n个像素点组成的图像块中嵌入m(n-1)bit数据,m>1时提高了数据嵌入容量,方法还采用一种新的数据嵌入策略提高了隐藏图像质量。与现有整数变换算法相比,该文算法在数据嵌入容量和隐藏图像质量上有一定的提升。该方法可用于对图像质量要求较高的军事通信、医学保健和法律论证等领域,在提取嵌入的机密信息后,原宿主图像可无失真恢复。

整数矩阵的整数广义逆

主要讨论实域整数环上矩阵的广义可逆性,给出了整数逆存在的若干充分必要条件,提出了整数矩阵的保素性概念,以及给出整数逆的具体构造方法.

辩证认识广义数学真理

偶数能被2整除,奇数不能被2整除,奇数能被2相对整除是广义数学真理;简谈潜无限、实无限的内涵,承认接受实无限数学理论千万莫排斥、丢掉了潜无限数学真理.

为什么1+1=2续篇

偶数能被2整除,奇数不能被2整除、奇数能被2相对整除,相对整数±0.5,±1.5,±2.5,±3.5,±4.5,±5.5,±6.5…的绝对值拥有相对整性质,为奇数能被2相对整除提供理论依据,或者说半整数拥有半整性质为奇数能被2半整除提供理论依据,二者完全等价,一脉相承,数学为量子力学中的半整数拥有半整性质指明正确的前进方向,量子力学的半整数为数学（算术）的相对整数拥有相对整性质提供客观证据与支持.

Frequency domain identification of non-integer order dynamical systems

Two new methods, the generalized Levy method and the weighted iteration method, are presented for identification of non-integer order systems. The first method generalizes the Levy identification method from the integer order systems to the non-integer order systems. Then, the weighted iteration method is presented to overcome the shortcomings of the first method. Results show that the proposed methods have better performance compared with the integer order identification method. For the non-integer order systems, the proposed methods have the better fitting for the system frequency response. For the integer order system, if commensurate order scanning is applied, the proposed methods can also achieve the best integer order model which fits the system frequency response. At the same time, the proposed algorithms are more stable.

The Generalized Roper-Suffridge Extension Operator on the Reinhardt Domain

Let pj ∈ N and pj ≥-1, j = 2,...,n be a fixed positive integer. In this paper a generalized Roper-Suffridge extension operator F（z） ={f（Z1）＋f＇（z1）} on Reinhardt domain is defined. Some different conditions for Pj areestablished under which the operator preserves an almost spirallike mapping of type fl and order a and spirallike mapping of type β and order α, respectively. In particular, our results reduce to many well-known results.

Volterra Integral Equations and Some Nonlinear Integral Equations with Variable Limit of Integration as Generalized Moment Problems

In this paper we will see that, under certain conditions, the techniques of generalized moment problem will apply to numerically solve an Volterra integral equation of first kind or second kind. Volterra integral equation is transformed into a one-dimensional generalized moment problem, and shall apply the moment problem techniques to find a numerical approximation of the solution. Specifically you will see that solving the Volterra integral equation of first kind f（t） = {a^t K（t, s）x（s）ds a ≤ t ≤ b or solve the Volterra integral equation of the second kind x（t） =f（t）＋{a^t K（t,s）x（s）ds a ≤ t ≤ b is equivalent to solving a generalized moment problem of the form un = {a^b gn（s）x（s）ds n = 0,1,2… This shall apply for to find the solution of an integrodifferential equation of the form x＇（t） = f（t） ＋ {a^t K（t,s）x（s）ds for a ≤ t ≤ b and x（a） = a0 Also considering the nonlinear integral equation： f（x）= {fa^x y（x-t）y（t）dt This integral equation is transformed a two-dimensional generalized moment problem. In all cases, we will find an approximated solution and bounds for the error of the estimated solution using the techniques ofgeneralized moment problem.

基于INGARCH的电力企业话务流量预测

为更好保障电网调度指挥和办公电话需求,合理分配通信资源,需要准确预测电力企业话务流量动态。引入整数值广义自回归条件异方差(Integer Generalized Auto-Regressive Conditional Hetero-skedasticity,INGARCH)模型作为电力企业话务流量预测模型。介绍INGARCH模型定义和第n步预测方法的数学原理,通过使用条件最大似然估计方法得到INGARCH过程的相关参数;通过“预处理、训练、预测和更新”四步来预测未来过程的泊松参数,从而建立预测模型;最后,给出两种衡量模型性能的指标。采用山东电力真实话务流量数据进行实验,通过对三种常用模型的训练集和测试集进行比较,得到最佳训练比例,并将INGARCH模型与三种常用模型的预测性能进行对比。实验结果表明,INGARCH模型的提前1步预测效果非常好,提前4步预测效果优于其他三种模型。因此,可以将INGARCH模型作为电力企业话务流量预测模型。

A Note on the Integrity of Certain Series

In this paper, using the theory of Pell equation, the authors discuss the integrity of certain series related to generalized Lucas numbers. Under some conditions, the integrity of certain series involving generalized Lucas numbers is completely solved.

Generalized dressing method for the extended two-dimensional Toda lattice hierarchy and its reductions

In this paper, we solve the extended two-dimensional Toda lattice hierarchy (ex2DTLH) by the generalized dressing method developed in Liu-Lin-Jin-Zeng (2009). General Casoratian determinant solutions for this hierarchy are obtained. In particular, explicit solutions of soliton-type are formulated by using the τ-function in the form of exponential functions. The periodic reduction and one-dimensional reduction of ex2DTLH are studied by finding the constraints. Many reduced systems are shown, including the periodic ex2DTLH, sinh-Gordon equation with self-consistent sources and one-dimensional Toda lattice hierarchy with self-consistent sources. The general solutions of reduced hierarchies are found from the Casoratian solutions of ex2DTLH, by considering additional constraints during the dressing procedure.

Order and Type of the Generalized Dirichlet Series

For an entire function represented by a generalized dirichlet series, we define its maximal term, maximal modulus, order and type. We use the classical methods to study the relation between order, type and coeFFIcients, exponents, which improve and generalize some results of the dirichlet series with real exponents.