查询词典 homogeneous space

This paper analyzed thoroughly the transient electromagnetic field analytic expression in homogeneous half space, discovered that the transient response curve has a characteristic of translational expansion and contraction with the underground conductivity, transmit loop length and observation time. According to that, we proposed a new direct method to calculate full time domain apparent resistivity.

深入分析了均匀半空间中瞬变电磁场的解析表达式，发现瞬变响应曲线随地下电导率、发射回线边长与观测时间具有平移伸缩特性，并据此提出了一种新的直接计算全区视电阻率的方法。

We have also shown that the collection of prime event structures on N can be endowed with the structure of a complete metric space, and in this space the collection of all universal homogeneous prime event structures is topologically large: it is the complement of a meager set.

我们也表明，集的主要事件结构对N可以赋予一个完整的度量空间结构，在该空间的主要活动是普遍均匀结构拓扑大：它是相辅相成的微薄的集合。

Chapter 4 establishes the theory of convex fuzzy mappings: The concepts, such as Jensen's inequality, positively homogeneous, infimal convolution, right scalar multiplication and convex hull are introduced. The corresponding theorems are demonstrated by using the parametric representations of fuzzy numbers. In anti-fuzzy number space, the conjugate mapping of convex fuzzy mapping is concerned, and convexities of conjugate set and conjugate mapping of convex fuzzy mapping are proved. The notions of subgradient, subdifferential, differential with respect to convex fuzzy mappings are investigated, which provides the basis of the theory of fuzzy extremum problems.

在第4章中，建立了有关凸模糊映射的理论：建立了关于凸模糊映射的Jensen不等式、模糊正齐次映射、凸模糊映射的下卷积、右数乘和凸包等概念，利用模糊数的参数化表示，给出了相应的定理；在反模糊数空间，对凸模糊映射的共轭也作了探讨，证明了凸模糊映射的共轭集合和共轭映射都是凸的；最后对凸模糊映射的次梯度、次微分和微分等概念进行了研究，为模糊极值理论打下了基础。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

First, we introduce the concept of polarizable Carnot group and give some new properties of its homogeneous norm. Then we construct a class of non-divergence equations as well as their nontrivial solutions. The failure of corresponding A-B-P type estimate and uniqueness to the Dirichlet problems in space~ follow.

首先引入可极化Carnot群的概念，给出了可极化Carnot群上齐次模的若干性质，然后构造了一类非散度型次椭圆方程及其非平凡解，由此证明此类方程Dirichlet问题的解在函数空间L~中不唯一，进而证明相应的Alexandrov-Bakelman-Pucci型估计不成立。

Using homogeneous projective coordinate,this paper presents a researches of the dual of projective space and reveals the essence of dual fundamentals of projective space the same coordinate represents both point and plane,and there is a dual relation in the point and plane.

射影空间是对偶结构，用齐次射影坐标研究了射影空间的对偶原理，从而揭示出射影空间里互相对偶的点与平面的坐标之间的内在联系

However, most research results were on the ideal condition that geographical space was a homogeneous one, and almost all spatial analysis methods are according to the metric of planar Euclidean distance, its drawback is quite obvious.

但是，目前多数研究都假设地理空间是一个均质空间，采用基于平面欧氏距离的空间分析方法，这是有局限的。

In chapterⅣ, three problems in the velocity space are simulated numerically under the basic presumption that the distribution function is homogeneous in configuration space. The results of numerical simulations demonstrate that the conservation laws of momentum and energy are obeyed accurately.

第四章在"空间均匀分布"的前提下对三个速度空间中的问题作了数值模拟，数值模拟结果表明这种方法能够精确地保证动量及能量守恒。

Plan Space ; Space of Force Field ; Homogeneous Aggregate Space

计划空间；力场空间；匀质整体空间

The step response and impulse response of homogeneous earth half space, marine double half space and four-layer earth models to horizontal electric dipole source were computed in this paper. A concept of transient impulse time was put forward.

本文计算了水平电偶极子源均匀大地半空间，海洋均匀双半空间和海洋四层模型的阶跃响应和冲激响应，提出了瞬变冲激时刻的概念。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。