查询词典 be defined as

At first we establish two lemmas for C〓-functionals defined on finite dimensional spaces. These lemmas describe the behavior near infinity of a functional that is bounded from either above or below.

我们首先对有限维空间上的C〓-泛函建立两个引理，它们实际上完全描述了有上界或有下界的泛函在无穷远处的行为。

Suppose that f is a real-valued ω〓-lower semicontinuous function defined on a ω〓closed bounded subset A〓 of the dual E〓 of a locally convex space E, which is bounded below on A〓, and suppose every ω〓 closed convex subset of C〓≡ω〓-clcoA〓 is the ω〓closed convex hull of its w〓-β-exposed points.

假设X是一个局部凸空间，X〓是其对偶。A〓是X〓上的ω〓有界闭子集，f是A〓上的ω〓-下半连续实值函数且在A〓上下有界。

Let f be defined for all nonnegative x, and suppose that it is continuous, strictly increasing and bounded on its domain.

令f定义在一切非负的x 上，并在定义域内连续、严格递增和有界。

According to Liouville's theorem , any bounded complex analytic function defined on the whole complex plane is constant.

如上所述，实或复解析函数均在实变量的意义上无穷可微。

However,in this paper,it is first introduced sequential convergence C and L*- space which is a vector space giving some relation:xmCx between sequences and points in it,then the bounded set is defined in vector space.

设C为一序列收敛关系，T是由C确定的拓扑，B是由C确定的有界集族，则有B=BT(C，并进一步从L*-空间构造了包囿拓扑向量空间。

Fuzzy sequentially compact set in fuzzy normed space was defined and the relations between fuzzy sequentially compact set and fuzzy total bounded set were studied some properties of topolisical space were generalized to fuzzy topolisical linear space.

在模糊赋范空间中给出了列紧集的概念，并对于模糊列紧集与模糊全有界集之间的关系作了进一步的研究，使得与分明的情况基本上协调起来。

The box ratio property is simply defined as the width to height ratio of the region bounding box.

这个盒子比财产是简单的定义宽高比的区域范围盒子。

Highway subgrade Highway subgrade may be defined as the supporting structure on which pavement and its special undercourses rest .in cut sections ,the subgrade is the original soil lying below the special layers designated as base and subbase material .in fill section ,the subgrade is constructed over the native ground and consists of imported material form nearby roadway cuts or from bowwow pits.

公路路基公路路基可界定为支撑结构对路面和特殊undercourses休息。在削减部分，路基是原来的地势低于土壤的特殊层指定为基础和基层材料。填补节中，路基建造的本地地面，由进口物质形式附近的巷道削减或从bowwow坑。

And the process of hardware design, programme of application software and procedure of square brackets are defined.

介绍SINUMERIK840D在铣床中的应用，详细说明了硬件设计过程，应用软件的编制以及程序方框图。

Water-deficient is a key factor to restrict agricultural production and economic development in the region. In order to improving the infrastructure conditions of agricultural production as soon as possible, inducting farmers to develop non-pollution vegetable and economic crops, helping farmers to increase income in planting and breeding, and facilitating sustainable development of agricultural production, according to Year 2002 Project Guide Rural of Mini-type Water Commonweal Establishment Construction and some relative requirements, local government has defined to construct rainwater-collection model project in Tianhui brae after analyzing and reasoning.

水资源缺乏是制约该区域农业生产和经济发展的关键因素，为改善丘陵灌区农业生产条件，引导农户发展无公害蔬菜和经济作物，在种植和养殖业上帮助农户增收，促进农业生产的可持续发展，根据2002 年度农村小型水利公益设施建设项目指南和相关要求，经过认真研究，科学分析论证，确定在天回山丘陵区实施集雨节水灌溉示范项目。

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。