空间的

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因，据此对经典主成分分析模型增加非负约束；然后求出一组线性无关的非负主成分权向量，用该组向量构造低维空间；最后用非线性优化技术确定高维数据在该低维空间中的投影值，实现了高维空间与低维空间的相互转换。

That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.

就是说，从离散度量空间到另一个有界度量空间的函数是李普希茨连续的，而任何从离散度量空间到另一个有界于 1 的度量空间的函数是短映射。

By doing so, the dimension of attribute can be reduced effectively, the noise can be filtered successfully and the underlying semantic structural relation will be stressed.(3) The dissertation carries on expanded research on double-bases cooperating mechanism in terms of pattern, discusses and proves the important structure mapping theorem of the above mechanism.

该方法通过小波变换及潜在语义索引算法将向量空间模型中的"特征词项空间"转化为Hilbert子空间——"概念空间"的范畴，从而有效地降低了特征项维数、过滤掉文本数据中的噪声、突出了文本数据的深层语义结构关系。

In order to solve these existing problems, this thesis focus on the social contact space of neighborhood in the residential area , take the point of the architectural spatial view, and the study is based on the relationship between social contact activities and the environment.

其次，分别对三个邻里交往空间中的交往现状进行实地调研，通过行为记录，访谈记录，摄像记录等方式，了解居民在户外邻里空间中的交往状况、对邻里交往空间的要求以及邻里交往空间设计中存在的误区。

Note on relation of seminorm and norm in vector space;2. The functional representation of some seminorms such as the continuous seminorms, the beundedseminorms and the lower semicontinuous seminorms are given out.

给出了局部凸空间上连续半范数，有界半范数和下半连续半范数等的泛函表示，应用这些表示定理，我们得到了Banach－Mackey空间的一个全局特征和囿空间的对偶特征，最后还给出了局部凸空间理论中一些重要定理的简化证明。

Closeness of tangent shape space to the curved shape space will assessed by comparing Procrustes distances in the shape space to Euclidean distance in the tangent space.

切线形状空间与弯曲形状空间的的相似度可以通过比较形状空间的Procrustes距离与切线空间的Euclidean距离估算出来。

First, the square scale includes planar scale and vertical scale and we should measure the square spatial scale, proportion and spatial interface based on the size of the men.

物质要素决定广场空间的形态、空间的划分、高差变化、空间的构成方式及特点、与城市公共空间的关系等等。

In 1936, J.Clarkson first introduced the concept of uniformly convex Banach spaces ,initiated from geometric structure of the unit sphere of Banach spaces to research the properties of Banach spaces, began to research convex theory of Banach spaces. The same year, J.

Clarkson首先引入了一致凸Banach空间的概念，开创了从Banach空间单位球的几何结构出发来研究Banach空间性质的方法，开始了Banach空间凸性理论的研究。

Two main problems of the main road pedestrian environment have found out: first, the main pedestrian realm of the main roads is incontinuous, lack genius loci and low service level; second, the joint part of the main pedestrian realm, including crosswalks and bus stops, are unsafe and inconvenient.The main causes of those problems from macroscopic viewpoint are analyzed.

提出目前城市干道步行环境存在两大问题：一、以人行道空间为主的&城市干道两侧主体步行空间&，存在空间不连续、缺乏领域感、部分设施服务等级过低等问题；二、以人行横道、公交车站等为主的&进入主体步行空间的交接性步行设施&，存在缺乏安全性和方便性的问题。

The research, based on the myrid methodologies such as textual analysis, and participatory observation find the Taipei Globalization Project , through the spatial transformation has brought Taipei not in the direction of the progress where global/Pacific Rim economic competitiveness is ever so illusive, but rather in malling the city –increasingly commodified, in which public space has become privatized and gentrified.

研究指出在消费空间中，空间的生产从历史的土地变迁、过时奇观的「挪用」，想像全球化下的设计的生产中，角色是布尔乔亚的文化想像，除了扮演著只是消费与服务，却在过程中失去了自主性，彻底甘愿驯化的过程，欲望是标准化而有局限的。在一个购物中心开发案，空间的生产藉由老员工和建筑师的空间表徵，拉开了都市空间专业的论战，藉由台北的都市设计过程，从威权、经济为主到最后以后现代多元规划，成为意义与价值的竞争之场域。

By using competitive adsorption of activated carbom to remove unfavorable influence of carbon in carbonaceous gold concentrate on leaching process, the leaching rate of gold concentrate can be improved to 88% as compared with 10%by direct cyanidation.

本文论述了利用活性炭竞争吸附作用，消除含炭金精矿中炭在浸出过程中的影响，使金精矿的浸出率可由直接氰化的10％提高到88％。

The only thing you're ever gonna be king of is King of the Stupids!

你只配做傻瓜的国王！