自反空间

In this paper we concem the approximate controllability on non-sun-reflexive Banach space, andgive some important results.

研究了非太阳自反Banach空间下控制系统的可控性，得出了一些重要的结论。

According to [2], we know that if X is a reflexive Banach space and T is a strongly continuous semigroup on X with the infinitesimal generator A, then the adjoint semigroup T~* is also a strongly continuous semigroup on X* and its infinitesimal generator is A~*, the ajoint operator of A.

由文献[2]我们知道，如果X是一自反Banach空间，那么X上强连续半群T的对偶半群T~*也是X~*上的强连续半群，并且其无穷小生成元为半群T的无穷小生成元的对偶。

The concepts of the S-simplest form of a seminorm family P and the P-reflexive locally convex space are introduced. The seminorm family P and its every S-simplest form generate the same locally convex separated topology on X are proved.

引入半范数族P的S-最简形式和P-自反局部凸空间的概念，证明了半范数族P和它的每一个S-最简形式都生成X上相同的局部凸拓扑。

In this paper, we study the iteration method approximating zero points of m-accretive operators in reflexive Banach space. The strong convergence of the revised method is proved. These results extend and improve corresponding results of others.

文章在自反Banach空间中研究了m-增生算子的零点迭代逼近问题，证明了修正的迭代算法强收敛到m-增生算子A的一个零点，此结果推广和改进了一些相关结论。

A reflexive operator is constructed on the space l 2 by using unilateral shift operator.

利用单侧移位算子在l2 空间中构造了一个自反算子。

On the other hand, uniqueness of integral solution and its regularity are obtained by means of Lipschitz conditions, properties of absolute continuous mappings, reflexivity and strict convexity of Banach spaces.

借助Lipschitz条件、绝对连续函数的性质及Banach空间的自反严格凸性，获其积分解的唯一性且是强解。

By regarding the forest-sum growth-cutting rate as the control variable and judging its optimality by "norm minimum", we have given a existence theorem of the optimal control for the area distributing systems of forest trees by utilizing space L2(0,T)'s reflexivity, smoothness and strict convexity.

本文将林木总和长消率作为控制变量，以"范数最小"来衡量其最优性，利用空间L2（0，T），T＞0的自反、光滑和严格凸性，给出了森林面积分布系统最优控制的一个存在性定理。

Secondly, according to the theory of retrieving model using time series and the self-memorization principle, the grey self-memory model based on grey system theory and phase space self-memory model established using chaotic theory are put forward, and the two kinds of models are applied to the analogy and forecasting of hydrologic time series, and the application field of the self-memory model is further expanded from extent and profundity.

更进一步，根据时间序列反演建模基本理论和系统自记忆性基本原理，提出了基于灰色系统理论的灰色自记忆预报模型和基于混沌理论的相空间自记忆预报模型，并应用于水文时间序列的模拟与预测，从广度和深度上更加拓广了自记忆模型的应用范围。

We also provide the ergodic convergence theorems for semitopological nonexpansive type mappings in the reflexive Banach in Chapter 3. By this theorem we can get the main results in [13]14[15][16], and we should notice that their methods do not extend beyond Lipschitzian mappings.

本文第三章在自反的Banach空间中给出了一般拓扑半群上渐近非扩张型半群的遍历收敛定理与其殆轨道情形的等价性，从而利用本章中的定理可以直接推得文[13][14][15][16]中的主要结果。

2Based on the nonlinear theory, we found the reservoir seismic nonlinearprediction and evaluation method technology, it is constituted by three nonlinearmethods and the technologys of the fracture prediction, the seismic inversion and thereservoir synthesis prediction evaluation: The seismic nonlinear prediction ofreservoir fracture is one new method which is composed with the phase spacereconstruction, the nonlinear parameters pick-up technology and the syntheticprediction evaluation method. The reservoir seismic high resolution nonlinearinversion is a new seismic inversion way which the BP algorithm is embeded in theauto-adapted genetic algorithms interior to have the predominances of neural networktechnology and genetic algorithms, it adopts the new embedded GA-BP mixalgorithms and the nonlinear mapping technology, and realizes the inversionautomatically, obtains the high resolution seismic inversion profile. The reservoirseismic nonlinear synthesis prediction and evaluation is a new method which iscombined organically of genetic algorithms and adaptive neural fuzzy inferencesystem, it will optimize the new seismic attribute space which are processed to take the input, uses the new adaptive mix algorithm which GDand LSE(least-square estimation) mix algorithms of ANFIS network insert to the GAinterior and taboo search algorithms is added to the intercrossed operation place,the simulation of the evaluation parameters is used quantitative evaluation guide lineto the reservoir quality and oil-gas distribution.

2基于非线性理论，创建了储层地震非线性预测与评价方法技术，它是由裂缝预测、地震反演和储层综合预测与评价等三大非线性方法与技术组成：储层裂缝地震非线性预测是由相空间重建、非线性参数提取与预测技术及综合评价方法组成的一种新型裂缝预测方法；储层地震高分辨率非线性反演是将BP算法嵌入自适应遗传算法内部所构成的集遗传算法和神经网络技术优势于一体的新的地震反演方法，它采用嵌入式新的混合算法及非线性映射技术，自动实现反演，获得高分辨率地震反演剖面；储层地震非线性综合预测与评价是由遗传算法与自适应神经网络—模糊推理系统有机地相结合而产生的储层预测与评价的新方法，它将优化处理所形成的新地震属性参数空间作为输入，采用将ANFIS网络中的混合算法嵌入到GA算法内部与禁忌搜索算法加在交叉操作处产生新的自适应混合算法，将综合评价参数作为储层品质和含油气性的定量评价指标。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。