渐增加

It is found that with the increasing of N , leaf reflectance increases and reaches an asymptote while leaf transmittance decreases and reaches an asymptote also.

同时，给定叶绿素和水分含量，还模拟了当叶肉结构参数变化时的叶片的光学特性，随着N的增大，叶片的反射率逐渐增大，并渐趋一致，而透过率随着N的增加而渐减小，最后也逐渐靠近。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

As the society situation of 「few birth」and「old aging」 coming, every country has to face the ageing situation all over the world. The prime of life must load more and more greybeard per one. Taiwan is the second ageing country in the world, just gets behind Japan. Therefore, in economy, society and political aspects, the government brings up a lot of ideas to handle the increasing of greybeard.

中文摘要因为「少子化」、「高龄化」的社会现象来临，世界各国都有面临人口老化的情况，每个青壮劳动人口所要负担的老年人口愈渐增加，台湾又是在世界上老化的人口仅次於日本的国家，从经济、社会、政治各方面莫不因为银发族的增加而提出相关因应之道。

Last we obtain globally asymptotically stability of boundary equilibrium by applying locally asymptotically stability and attractiveness and persistence by using uniform repeller theorem.

在第二章中研究了一类具有时滞的捕食与被捕食系统，分析了系统的正不变集，运用了特征值理论得到了边界平衡点性质，当时滞很小时，得到了系统在正平衡点局部渐近稳定的充分条件，以及当T增加到T_0时，系统在正平衡点附近产生Hopf分支的充分条件；利用局部渐近稳定性加吸引性得到了边界平衡点全局渐近稳定性的充分条件，且应用一致排斥定理得到了种群持久生存的条件。

Suppose there exist a strictly increasing function Φ: 0,∞→

若存在严格增加函数Φ：[0，∞]→0，∞，Φ(0)=0，jx(下标 n+1-x∈Jx(下标 n+1-x使得〈T(上标 n-1)x(下标 n+1)-T(上标 n-1)x， jx(下标 n+1-x〉≤k‖x(下标 n+1)-x‖^2-Φ‖x(下标 n+1-x‖，n≥1，x是T的不动点，在对参数的一些限制条件下，本文证明了迭代序列｛x｝强收敛于非自映象T的不动点x，其目的是把对渐近伪压缩映象的迭代结果推广到渐近伪压缩非自映象上，从而推广了以前的结果。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

Firstly, a simple closed-form MIMO channel capacity formula is derived by using the eigenvalue distribution of Wishart matrix.

首先，利用Wishart矩阵的特征值分布，导出了一个简单闭合的MIMO信道容量公式；然后基于此公式，得到了MIMO信道容量在高信噪比时的渐近界，解析地反映了随着信噪比的逐渐增加，MIMO信道容量与信噪比和收发天线数目的最小值呈渐近的线性关系；最后，计算机仿真验证了所提出的MIMO信道容量公式及其渐近界的正确性。

At dehiscence, elongata flower ratio was increased graduate then decreased; carpelloid was increased at that time; more elongata flowers were increased again then following by pistilloid increasing steadily at one year cycle.

番木瓜刚开花阶段，正常性花渐增加到高峰，是时雄蕊心皮化型性花则渐增加，随后正常性花渐增达到高峰，此时雌蕊退化型性花则渐增加，如此规变化可於四番木瓜品种。

The author calculated and simulated three kinds of diffuser augmented wind turbines of eleven models under different velocities,and obtained curve pictures of enhanced ratio of flow rates and ratio of flux rate at the minimal section of DAWT.

计算不同风速时的渐扩直壁型、渐缩渐扩直壁型、渐缩渐扩前后流线型共3个类型11种不同形式的扩散器动力放大的流量比增益特性，最小截面处流量增加比率；比较不同形状、不同参数扩散器动力放大特性。

According to the results of this study, the ultimate strength of pin-bone interface increased as the moment arm decreased and torque increased. When the pin-bone angle approached 90°, the ultimate strength was the largest and as the angle decreased, the ultimate strength decreased. There was no significant difference between rigidity and torque, but rigidity decreased as the skull-bone angle decreased.

结果发现钉骨界面的极限强度在头圈距离颅骨的力臂短时较高，且随著所用扭力的增加而增加，当头钉与头骨表面的夹角成垂直时最强，随著夹角越趋锐角而渐减，钉骨界面的刚性与扭力并无明显关系但与夹角有关，夹角垂直时刚性最高，而后随著夹角渐趋锐角而递减。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。