查询词典 measurable set

H-2: The measurable set-valued mapping F : X - CC is -bounded (n+1)-lower semicontinuos where X is a closed, bounded and convex subset of a n-dimension Bana...

的。 H-3：X是1-维赋范线性空间中的有界闭凸子集，可测集值映射F：X→C_c是2-下半连续的(2-l.s.c。)。

It was conjectured in [31] that: if Ms ∈ L~1 for any measurable set E of finite measure,then f ∈ L~n.

在文献[31]中他们猜测：如果对任意有限测度集E，M_S∈L~1，那么f∈L~n。

It is well-known that for f with compact support in [66] Stein proved that: M G ∈~L~1 for any measurable set E of finite measure if and only if f ∈ L ln~+ L.

当f有紧支集时，关于它的极大函数的可积性Stein在[66]有个著名的结果：对任意有限测度集E，M∈L~1当且仅当f∈Lln~+L。

In [1] and [35] Bagby and Gomez independently proved that there are many functions f ∈ L ln~+ L(R~2) such that M_s ∈ L~1 for any measurable set E of finite measure.

在[1]和[35]中他们分别证明了存在许多函数f∈Lln~+L(R~2)使得对任意有限测度集E，M_S∈L~1。

Because M_S ≤ M~*, if f G L~n, then M_S ∈ L~1 for any measurable set E of finite measure.

因为M_S≤M~*，所以当f∈L~n时对任意有限测度集E，M_S∈L~1。

With four continuity of non-additive set function and the relation of four convergences of the measurable function sequence,four forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are discussed,respectively.

在经典测度论中，Lebesgue定理刻画了实值可测函数序列几乎处处收敛和依测度收敛之间的关系。1984~1986年，王震源[9]先后提出了较弱的"自连续"、"零可加"、"伪自连续"、"伪零可加"等重要概念，讨论了模糊测度空间上单值可测函数序列各种收敛之间的关系，推广了经典测度论中著名的Lebesgue定理以及其他定理。

From the point of view of measure theory, this paper gives the unified definition of measurable real fuzzy set-valued function and n-dimensional measurable real fuzzy set-valued function, and discusses the fundamental properties of them and their invers fuzzy set-valued function by combining with fuzzy σ-algebra.

5研究了有界闭复模糊数的四则运算、交并运算以及上下确界、上下极限与极限运算的若干基本性质

Fuzzy Choquet integral is defined for the given nonnegative measurable function on the general fuzzy measurable space. The fuzzy integral is wholly regarded as a set function on the general fuzzy measurable space. And its some elementary properties and convergence are discussed.

在一般模糊测度空间上，针对给定的非负可测函数定义了λ-模糊Choquet积分，并将这种模糊积分整体看作一般模糊测度空间上的集函数，进而讨论了这种模糊积分的一些基本性质和收敛性。

Our study bases on following environment and conditions: H-1: The measurable set-valued mapping F : X - CC is e-bounded almost lower semicontinuos

这些研究是在如下环境和条件下进行的： H-1：X是n-维Banach空间(n＞1)中的有界闭凸集，且可测集值映射F：X→C_c是ε-有界几乎下半连续

In this paper, searching technology of product information based on knowledge was researched. On the aspect of cognition, we researched the relation between user\'s cognition and designer\'s cognition, explored the knowledge flow in the process of product development, set up a matching model between user\'s knowledge and designer\'s knowledge, brought forward a modeling method based on users\' cognition, and set up a measurable model of product feature; coded and decoded product form element, set up a computer aided product form design system and image evaluating system based on the result of measurement. Accordingly, the product style and product image were systematically discussed, the recognition space of product style and image was constructed, the factors that affect product style and image were put forwards and analyzed, and the relation between product image and form elements was tested by experiments. Furthermore, the product automatic recognition technologies were discussed.And then, with the media of concept model and the kernel of parameter technology, a mathematic model that describing product layout design by constraints and rules was presented. Furthermore, a product design integration system based on imagery thinking including product fonii base system based on imagery thinking, product form design system based on imagery thinking and product form intelligent design system based on space layout were set up, which tested the system and provided a new way for product innovative design.

本文以产品特征描述目标对象——产品，研究一种基于知识的产品信息检索技术，在对产品的认知方面，研究了用户认知和设计师认知之间的关系，研究了产品开发过程中的知识流传递过程，建立了用户知识和设计知识之间的匹配模型，提出了一种基于用户知识的产品建模方法，它不但提取了产品的特征，还建立了产品特征量化模型，从而实现了产品知识的量化描述；对产品造型元素进行分解和编码，利用实验量化结果构造计算机辅助产品形状设计系统和心象评价系统；使用量表分析造型元素的心象尺度，构造输入、输出系统，建立了产品设计知识库咨询系统，可以方便用户和设计师来导入或查询产品设计方案；实现了对产品造型心象的分类知识库系统，便于设计师存储或查询，辅助设计师进行产品创新设计；通过实验量化了产品造型参数和产品心象参数之间的关系，并在此基础上建立了基于心象的产品形状设计系统，为产品空间布局方案智能生成系统奠定基础；在基于知识库的基础上建立了产品空间布局方案智能生成系统，通过更改概念产品造型参数，实现了产品设计方案的智能生成，使系列化的设计工作变得十分方便；将产品的心象运用到实际设计过程中，能够引导流行趋势，创造出产品无形的设计价值。

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。