查询词典 odd dimensional space

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。

Fourier analysis consists of Fourier series which can solve limited one-dimensional space Heat-conduction question and Fourier integral which can solve infinite one-dimensional space Heat-conduction question. This is more systematic compared with the other methods, and embodies corresponding beauty of Mathematics to Physics.

傅里叶分析包括傅里叶级数和傅里叶积分，用傅里叶级数法解决有界细杆的热传导问题，用含参数的傅里叶变换法解决无界细杆的热传导问题，比其它方法更系统，体现出一种数学与物理对应的美感。

This last property illustrates why, in general, three-dimensional space is required for the geometrid realization rather than two-dimensional space.

这后一性质说明了为什么几何实现一般需要用三维空间而不是二维空间。

Infinite-dimensional optimization studies the case when the set of feasible solutions is a subset of an infinite- dimensional space, such as a space of functions.

组合优化问题是有关的一套可行的解决办法是离散或可归结为一个独立的一个。

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。

But from the point of view of the relativity theory, time as well as space is changed by passing from one c.s. to another, and the Lorentz transformation considers the transformation properties of the four-dimensional time-space continuum of our four-dimensional world of events.

但是从相对论的观点看来，时间和空间从一个坐标系过渡到另一个坐标系时都是要改变的，而洛伦兹转换就是考察事件的四维世界的四维时空连续区的转换性质的。

Thus, we may have to extend our view from one dimensional axis to multi-dimensional space, m -space, and to extend our research tools from scalars to multi-component vectors, m -vectors.

因而，我们可能要扩展我们的眼光，把我们的眼光从一维的"数轴"扩展到"多维空间"，把我们的分析工具从"标量"扩展到"多元向量"。

For case study, db4 optimum wavelet base is used to transform GR, SP and AC from a well in Shengtuo oilfield. By this transformation the logging data are expended from one dimensional depth space into two dimensional depth-scale space.

以胜坨油田某井为例，采用db4最佳小波基分别对自然伽马、自然电位和声波等测井曲线进行了多尺度分析，将一维测井数据拓展为二维深度－尺度空间，提取小波变换系数的时频色谱信息和能量信息，从而确定出测井曲线识别准层序界面的最佳尺度。

Sequence in the third middle member of Shahejie Formation in a well of Shengli oilfield, the SP data were processed by two-scale wavelet transform using quadric spline wavelet. With this transformation the logging data were expended from one dimensional depth space into two dimensional depth-scale space and wavelet coefficient curves on different scales were obtained.

以胜利油田某井沙三上亚段第Ⅲ层序为例，选用二次样条小波，对该井段SP测井数据进行二进小波变换，将一维测井数据拓展为二维深度－尺度空间，得到不同尺度上的小波系数曲线。

In order to improve the query precision further, we employ the Singular Value Decomposition techniques to convert the high dimensional proximity vector space into low dimensional orthogonal concept space to match the documents more accurately.

为了进一步提高邻近关系模型特征表示的准确性，我们使用单值分解技术，将高维邻近关系空间转化为正交的低维特征语义空间，消除邻近关系的次要特征对信息检索精度的影响，进一步提高基于邻近关系模型的信息检索精度。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。