查询词典 continuous approximation

By using the partition theorem of unity, a continuous selection theorem for a multimap from a compact Hausdorff topological space to a finitely continuous topological spaces (simply, FC-spaces) without any convexity structure was obtained, and from which and Tychonoff fixed point theorem, a collectively fixed point theorem for a family of multimaps on the product space of compact FC-spaces and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were given.

利用单位分解定理得到从紧的Hausdorff拓扑空间到没有任何凸结构的有限连续拓扑空间的集值映射的连续选择定理，并从该结果和Tychonoff不动点定理，得到紧的FC-空间的乘积空间上映射族的集族不动点定理和若干个非紧的FC-空间的乘积空间上的映射族的集族不动点定理，对文献中的相应结果进行了改进和一般化。

In some buildings it is unable to apply strengthening measurements on the upper surface of the reinforced concrete continuous beam. On the basic character of RC continuous beam moment redistribution, a new method was tried to increase the beam's resisting moment capacity. The Carbon Fiber Reinforced Plastic was bonded on beam bottom of the span-mid, the flexural capacity of span-mid was increased, and the plastic hinge joint at the beam end was formed.

在实际加固工程中无法对钢筋混凝土连续梁梁顶进行加固，因此在试验中采用CFRP来加固梁的跨中，增强其正其正截面的抗弯承载力，并利用梁支座处出现塑性铰，引起弯矩重分布的特性，来达到加固的目的。

We use the transitional probability of two states nonhomogeneous continuous time Markov chain to build the novel transitional model. When we extend the simple model to more complicated ones such as nonhomogeneous Poisson process, we can extend the homogeneous continuous time Markov chain to nonhomogeneous one at the same time.

我们用二状态非齐性连续时间马可夫鍊的转移机率来建构新的递移模型，当将简单的模型扩展到复杂的模型，例如N服从非齐性不瓦松过程，同时，可以从齐一性连续时间马可夫鍊延伸到非齐性连续时间马可夫鍊。

The isoform hMAM cDNA consisting of 270 bp, was different from the wild type one of 279 bp due to nine continuous base pair missing. Therefore the translational product of the isoform was seen to be lack of three continuous amino acid (-79~-81, VFM) compared with that of the wild type. The homology of the wild type and the isoform are testified to be 96% in both DNA and amino acid sequences.

乳腺癌组织和乳腺癌细胞株中发现两种hMAM cDNA亚型：hMAM和hMAM，长度分别为279和270bp，二者相差9个连续碱基，其翻译产物相差3个连续氨基酸残基(-79～-81，VFM)，二者基因和氨基酸序列匹配度均为96%。cDNA片段分别插入原核表达质粒pGEX-KG，构建的质粒命名为pGEX-KG/hMAM和pGEX-KG/hMAM。

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。

Secondly, we discuss generalizedderivable mappings at unit and Jordan derivable mappings at unit on Von Neumannalgebra, and we prove that every norm continuous linear mapping generalized deriv- able at unit is a generalized inner derivation, every norm continuous linear mappingJordan derivable at unit is a inner derivation.

其次对Von Neumann代数M上的在单位广义可导和在单位Jordan可导的线性咉射进行了讨论，证明了在单位广义可导的范数连续的线性映射是M上的广义内导子，在单位Jordan可导的范数连续的线性映射是M上的内导子。

In order to evaluate the restoration effect of cropping systems on continuous cropping soil, treatments of nitrogen-catching crop, rotation, and intercrop were adapted to study soil fertility and microbial indexes of the soil from an 8-year continuous cropping field using pot experiments. Fallow was used as a control. Cucumber yield were recorded.

为了评价栽培制度对连作障碍土壤的修复效果，采用盆栽方式，设置休闲、轮作、间作等处理，以生产中常用的栽培制度即夏季休闲的连作制度为对照，研究各处理对连作8年黄瓜的温室土壤生物修复效果及对后茬黄瓜产量的影响。

The continuous dialysis realizes the continuous production of the calcium phosphate nanometer biomaterial, avoids fussy intermittent operations and reduces the production cost.

连续透析法实现了纳米钙磷生物材料的连续化生产，避免了繁琐的间歇式操作，降低了生产成本。

Theorem 2 If the functionis continuous and increasing on the interval, then its inverse function is also continuous and increasing on the corresponding interval.

定理 2 如果函数在区间上单调增加且连续，那么它的反函数也在对应的区间上单调增加且连续。

In our thesis, contents are organized as following In Chapter 1 we present our topic's internal and overseas research situations, theoretical and practical significance, and introduce the research object and contents, and the main contributions of this dissertation. Chapter 2 reviews the development of the stability results for nonlinear systems and some relevant recent results, which include Lyapunov and LaSalle-Yoshizawa theorems for nonlinear systems, and stochastic edition for stochastic nonlinear systems. Sontag's formula for systems affine in control is presented in the frame of CLF. The concepts of disturbance attenuation and the inverse optimality are also explained in this Chapter. In chapter 3 we present the solvable theorem of inverse optimal gain assignment problem, design the inverse optimal controller and the inverse optimal tracking controller for strict-feedback nonlinear continuous systems with unknown time-varing bounded disturbances and constant unknown parameters using an adaptive backstepping algorithm, which are nonlinear, continuous and are easier to realize. These designs are fully systematic and the algorithm can be directly coded in symbolic software. The results of simulation show the effectiveness of the control algorithms.

论文的结构如下：在第1章中，给出了本文研究课题的研究现状、理论意义和实际应用，并介绍了本文的研究对象、研究内容以及主要贡献；在第2章中，针对确定性非线性系统和随机非线性系统，分别介绍了Lyapunov定理、LaSalle-Yoshizawa定理及其随机版本；对仿射系统，在控制Lyapunov函数框架下，给出了Sontag公式；同时给出了非线性系统扰动抑制和逆最优控制问题的基本概念；在第3章中，针对具有未知时变有界扰动和未知定常参数的一类不确定非线性系统，给出并证明了逆最优增益配置可解定理，使用自适应Backstepping算法和均值定理，系统地设计了自适应逆最优控制器和逆最优跟踪器，这种设计方法可同时获得逆最优控制策略和自适应律，简单明了，仿真结果表明该控制算法的有效性，并给出了性能估计。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。