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For general discrete bilinear system, this paper proposed a stability criteria which is sufficient for systems with linear feedback. The smallest attracting range is also obtained. Based on the criteria, a simple control law is proposed to guarantee the uniformly asymptotically stability of zero state.

对于一般离散双线性系统，本文提出了系统在线性反馈下的稳定性判据和最小吸引域，并给出了一种简单的控制方案，保证闭环系统在原点的一致渐近稳定性。

Bilinear transformation was adopted to discrete the mathematic model of the whole simulation system. Considered that LabVIEW was a novel graphic computer language, the practical realization of mathematical model in LabVIEW was presented.

首先采用频率预曲折双线性变换法将控制系统的数学模型离散化；然后在LabVIEW中进行图形化编程，从而实现了基于虚拟仪器的汽轮机系统的仿真。

We proposed the simplest structure of 2-D bilinear transformation digital circuit, we proposed four approaches of the realizations:(1) Realization of 2-D discrete domain difference equations;(2) 2-D FFT realization;(3) Digital hardware implementation;(4) by 2-D recursive digital structure to realize them.

在第七章，我们则重点研究了二维数字滤波器的实现问题。我们对第六章提出的2-D双线性变换电路又作了进一步的简化，获得了一种最简结构的二维双线性变换数字电路，该电路仅有二个延时器和一个乘法器。在第七章里，我们提出了二维跳耦型数字滤波器的四种实现方法：(1)二维时域差分方程实现；(2)二维FFT实现；(3)数字硬件实现，(4)用2-D递归数字结构实现。

The 2-D bilinear transformation digital circuit from 1-D analog domain to 2-D discrete domain has been presented, which can ensure the exact realization of 1-D to 2-D bilinear transformation.

将此二维双线性变换数字电路用于2-D跳耦型数字滤波器的电路中，即可获得一种新的，稳定的二维数字滤波器实现。同二维波数字滤波器一样，2-D跳耦型数字滤波器亦以1-D无源LC双端接载梯型滤波器为导出原型。

Matrix to determine whether it is reflexive and symmetric, Discrete Mathematics in the binary relation.

判断矩阵是否是自反的，对称的，离散数学中的二元关系。

At the same time, it introduced the form of a binomial distribution --- a number of promotional distribution, which is a typical form in the distributed multi-dimensional discrete random variables and it's widely used in engineering and technology.

同时介绍了二项分布的一种推广形式---多项分布，该分布是多维离散型随机变量中的典型形式，在工程技术中有广泛的应用。

According to the principle of profit maximization and based on a discrete demand function which can be represented as a negative binomial distribution,the optimal pricing model for the perishable products is established.

基于一种负二项分布的离散需求函数，并在利润最大化原则下，建立了时效商品最优定价模型。

Discrete and continuous random variables, theoretical distribution, expected value, binomial distribution and normal distribution, standardizing and normality.

间断性变数总体的理论分布重点掌握二项分布和泊松分布，连续性变数总体的理论分布重点掌握正态分布以及正态分布的标准化。

Binomial distribution is preferred in testability demonstration,but it is discrete.Because of calculation difficulty,the sampling plan is usually worked out with some adaptations.

在测试性验证中首选的二项分布是离散取值的，由于计算困难，确定抽样方案通常采用一些变通的方法。

BioGraph is a program to aid the biochronological correlation of species by constructing concurrent range zones using a mathematical model. The basic idea is to construct a discrete sequence of coexistence intervals of species.

这种软件通过利用数学模型建立同时发生的范围区域，来反映物种间的生物年代学的相互映射关系，其基本目的是建立物种间共生的不连续次序。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。