查询词典 hilbert space

Because of the uneven temperature's distribution in the space,the detected temperature'value will vary with the different placement of the temperature sensor in detecting temperature and then need to know the distributing curve of temperature in the given space.

由于温度在空间中分布不均匀，在进行温度检测时会出现检出温度随着温度传感器放置位置的不同而不同的现象，这时就需要知道特定空间内的温度分布曲线。

To obtain the likelihood function indicating the uncertainty of observed information, noisy data is firstly expressed by a set of data vectors instead of a single vector, and then transferred to probability density curve defined in model space through confidence value defined in data space.

我们将数据向量的概念扩展为数据向量的集合，通过引入数据空间内的信赖度，把数据噪声转移到模型空间的概率密度函数上，即获得了反映数据本身的不确定性的似然函数。

As for the feature of the object function in (P2), the decision variable searched in traditional Euclidean space raise up with some difficulty computations and optimization methods are promote to running in curve Riemannian space to get optimal solution.

由于盲分离最优化问题的目标函数的特点，在欧氏空间中对决策变量进行寻优求解带来诸多复杂因素，寻优算法在弯曲的黎曼空间中动态运行是解决这些问题的一条可行途径。

Basing on the 3D image data compression and in accordance with the structure characteristics of 3DLCS scanning data that the scanning data set of 3D surface can be considered as a curve set in 3D space, the thesis extends 2D curve Splitting compressing method to the 3D space and presents a 3D curve compressing method based on the curve compression and the color information compression. The 3D compressing effect is better.

在三维图像数据压缩方面，根据3DLCS的扫描数据结构特点（即可以将三维表面扫描数据集看作一个空间曲线的集合），将平面曲线压缩中的Splitting方法推广到三维情形，提出了一种基于曲线压缩和彩色信息压缩的三维数据压缩方法，取得了较好的压缩效果。

In this paper,We define the notions of lightcone Gauss map ,lightcone pedal curve and lightcone height function of a spacelike curve in Minkowski 4-space, and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group ,and as an applications of standard techniques of singularity theory classified singularities of a spacelike curve in this space .

在本文中我们定义了四维Minkowski空间内类空曲线的光锥高斯映射，光锥垂足曲线，光锥高度函数的概念，建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系，并且运用奇点理论的标准工具对该空间中类空曲线的奇点进行分类。

In this paper,We define the notions of lightcone Gauss maps ,Hghtcone pedal curves and lightcone height function of a spacelike curve in Minkowski 4-space, and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group ,and as an applications of standard techniques of singularity theory classified singularities of a spacelike curve in this space .

在本文中我们定义了四维Minkowski空间内类空曲线的光锥高斯映射，光锥垂足曲线，光锥高度函数的概念，建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系，并且运用奇点理论的标准工具对该空间中类空曲线的奇点进行分类。

Detail are introduced as following: transfering the LS equation to difference equation, setting the initial conditions for different shape explosive at different initiation way (point, line, plane, divergent or convergent); the dealing method of different edge conditions; how to draw the curve graph in two dimensional space or surface graph in three dimensional space with the calculated data.

本文提出了在三维直角坐标系中爆轰波传播LS方程离散化方法，建立了相应的差分方程，研究了对不同形状炸药在多种起爆形式（点、线、面、散心、聚心）下初值条件的设定，以及各种边界条件的处理方法。

As the expansion of the Physical Space,the Cyber Space should not be a place where the power of state judicature is denied.

本文从网络空间的特点出发，分析了网络化对国际民事管辖权理论的冲击。

Therefore,it is very necessary to revise those rules,so they can be applied to the Cyber Space.According to the main characters of Cyber Space,the impacts on the theory of International Civil Jurisdiction caused by the application of network are analyzed in this paper.

就国际私法领域而言，由于与Internet有关的跨国纠纷具有了新性质，使传统的管辖权规则受到了动摇，如何在现有的法律秩序中修正、更新和补充既有规则，以适应网络空间的特点，是目前必须解决的问题。

China's continued pursuit of area denial and anti-access strategies is expanding from the traditional land, air, and sea dimensions of the modern battlefield to include space and cyber-space.

中国的禁区和反对进入的策略已经由传统的领海，领土，领空扩展至空间和网络领域。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。