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We investigate strong wellposedness and solvability of higher order ab-stract Cauchy proublems in a sequentially complete locally convex space,estab-lishing a Hille-Yosida-Phillips type characterization theoremand obtaining a solvability result.

研究序列完备局部凸空间中高阶抽象Cauchy问题的强适定性与可解性。关于强适定性建立了一个Hille-yosida-phillips型特征刻划定理，并获得一个可解性结果。

Let X be a real linear space,P a family of separated seminorms on X and TP the locally convex separated topology on X generated by P.

设X是实线性空间，P是X上的一族分离半范数且Tp是X上由P生成的局部凸分离拓扑。

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性；其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性，主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性；然后利用BD函数的一维截断方法和结构定理，讨论了在BD全空间上的积分泛函的下半连续性。

In chapter 2,we generalize the open mapping theorem concerned with convex maps.

首先，我们在赋范空间中，推广了完备图的凸映射的开映射定理。

Firstly,we prove that the open mapping theorem to situations where spaces are normed and the graphs of convex maps are complete.

其次，我们还推广了在可度量化拓扑线性空间中，完备图的线性映射是开映射的结果。

This shows that the Riemann mapping theorem of n-dimensioanl quasiconformal mappings holds in the class of bounded and convex domains in ■~n.

证明n维空间中的有界凸域D能被拟共形映射到n维单位球B~n(0，1)，即D是拟球，从而说明拟共形映射中的黎曼定理在n维空间中的有界凸域类中是成立的。

Pisier\'s results,under tree martingale valued space X is isomorphic toan a-uniformly convex space (2≤a＜∞),some quasi-normal or normal inequalitiesof a-variation maximal operator and a-conditional variation maximal operator of X-valued predictable tree martingales are identified.

同时，用G.Pisier's结果在树鞅取值空间X同构于a一致凸Banach空间条件下，证明了几个X-值树鞅α-方极大算子和a-条件方极大算子的拟范数不等式与范数不等式。

The convergence of the mean shift procedure to the closest mode of the underlying distribution is proven, both for the Epanechnikov kernel and the general case of kernels with convex and monotonic decreasing profile. The smooth trajectory property of the mean shift is also demonstrated.

均值平移算法对于Epanechnikov 核函数的收敛性在本文中得到了证明，进而推出均值平移算法收敛的充要条件是核函数具有凸的、单调递减性质的轮廓；揭示了均值平移过程运动轨迹的平滑性。

Our purpose is to obtain a new generalized fixed point theorem in a complete metrically convex metric spaces , which generalizes and improves the corresponding result in .

给出了在完备度量凸空间上的一类新的不动点定理，改进了文献[1]中的相应的结论。

It is composed of concave mill trail and convex grinding wheel. It mainly utilizes the ring working track of Raymond machine and "point to point" contacting force bearing of ball mill, and achieves better fineness than that of Raymond machine and higher efficiency of that of ball mill.

主要由凹型磨轨、凸面磨轮等组成，利用了雷蒙机的环形工作轨迹和球磨机的"点与点"接触受力优点，比雷蒙机粉碎得更细，比球磨机工作效率更高。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。