查询词典 basis of linear space

In which, for the statistic that use the phase-space formed by position 1-linear vectors and momentum 1-linear vectors in 4D time-space and the mutual reactions among these particles can be dealt as elasticity collision, they are the usual de Broglie waves.

其中，对于4维时空位置1-线矢和动量1-线矢组成的&相宇&进行统计，当粒子间的相互作用可当作弹性碰撞时，它就是&德布洛意波&。

The substitution is made of the interval wavelet basis for the compact one in order toproduce the basis of Sobolev space with the lower condition number,which will improvethe speed and the accuracy of the linear system made by wavelet Galerkin method.

我们在小波Galerkin法中用区间小波替代J.Xu用的I.Daubechies的紧支正交小波来生成Sobolev空间及H1的小波基，使基的相关性大大减小，进一步使刚度矩阵的条件数减少，从而提高了线性方程组求解的速度和精度。

The method relies on the facts that the row vectors composed of all the image points span, the same linear subspace as the row vectors composed of 3D space points span and that a basis of the subspace can consist of two row vectors composed of all the image points and one row vector in 3D space that is orthogonal to the former. The row vector can be determined, and the 3D reconstruction is accomplished. The novelty lies in the fact that the method can treat all the image points uniformly.

利用所有图像序列构成的行向量生成的子空间之和与三维空间点构成的行向量生成的子空间是同一线性子空间、同时由所有图像点构成的2个行向量外加一个行向量就可以组成该子空间的一个基底的特性，线性地求取子空间中的行向量，最后完成三维重建。

Statistic analysis on IR image characteristics shows that IR target has relatively more and larger regions which are of same quality, mainly expressed by smooth images and by that the energy distribution is concentrated on low frequency band in L〓 linear normed space, while large quantity of background regions show as texture images and their energy in L〓 space is concentrated on high frequency band. Based on this difference, the IR target segmentation method on the basis wavelet transformation is proposed.

通过对红外图像特征的统计分析证明，红外目标含有较多较大的同质区，主要表现为平滑图像，在L〓线性赋范空间的能量分布集中在低频，而大量的背景区域表现为纹理图像，在L〓空间中能量集中在高频部分，根据这一差别，提出了一种基于小波变换的红外目标分割方法。

First of all, the basis of the MRTD method is studied. In Chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. The advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. In Chapter 3, the algorithm basis of MRTD: the combination of the wavelets and the method of moments is studied. This Chapter shows that the MoM based MRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

The study establishes the compression of models and algorithms for vector graphics data on different basis, including on the basis of vector graphic factors of B spline curves in predecessors research; on the basis of rectangle graphic factors in main axis mode; on the basis of the application of Hough transform to polygonal line, ellipse and circle, so the study improves the models and algorithms of compression for vector graphic data.The compression for vector graphic data mainly studies the data of storing graphic factors.

本文研究的内容是：根据对以往各种曲线矢量数据压缩模型与算法的研究，建立了基于B样条的曲线矢量图形要素的数据压缩模型和算法；在前人研究的基础上，建立基于主轴模式的矩形图形要素的数据压缩模型和算法；本文作者将Hough变换应用到折线、圆及椭圆图形要素的矢量数据压缩上，在此基础上改进了基于Hough变换的折线、圆及椭圆图形要素的数据压缩模型和算法。

Description of the investment information to estimate the relevance of the contract, other professional conditions, and indicators of scale, with fixed or indicators of the corresponding standards for admission fees, the main equipment and materials prices, select the basis for the introduction of equipment and materials prices and the basis for estimating the use of foreign exchange rates, take into account unforeseen costs basis, taking into account the basis of reserve price, the project construction period interest and liquidity to determine the estimation methods.

说明本投资估算的相关合同信息、其他专业条件，采用的定额及指标，与定额或指标相应的取费标准，主要设备材料价格的选取依据，引进设备材料价格及依据，估算采用的外汇汇率，不可预见费计取依据，价差预备费计取依据，项目建设期利息的确定及流动资金的估算办法等。

In accounting terminology, the income statement is prepared using the "accrual basis", not the outdated "cash basis". When China in 1994 proclaimed the adoption of the Western accounting system, the switch from the cash basis to the accrual basis was the heart of the change.The writer is a resource panellist of SPH's Chinese Newspapers.

以会计术语来说，损益表是根据&权责基础&编制的，以现金收入及支出为准的&现金基础&早就被淘汰了。1994年中国的会计制度&向世界并轨&指的主要就是弃现金基础、采权责基础。

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 dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。