查询词典 odd dimensional space

On the foundation of the conception of orthonormal basis in finite dimensional Euclidean space,this paper provides the theory of completely orthonormal system in infinite dimensional Euclidean space.

从有限维欧氏空间的标准正交基概念出发，构建了无限维欧氏空间的完全规范正交系理论。

And then, we construct a system of equations -Standard Partition System of n-Dimensional Space- to generalize the properties of maximizing the number of regions made up by k partitioner in an n-dimensional space and look into the construction of each dimension.

接著我们归纳低维度的特性，并藉由定义出一组方程式-标准n维空间分割系统-来推广这些特性到一般的$n$维度空间中。

Many analysis technology and space data are designed by the two-dimensional coordinates or plane coordinate, and used plain map projection methods to storage space coordinates, so many times we all need three-dimensional map projection to convert 3D geographical coordinates into the plane coordinates.

许多分析技术和空间数据都是针对二维坐标或平面坐标设计，以平面地图投影的方式来存储空间坐标，因此很多时候我们都需要利用地图投影将三维的地理坐标转换为平面坐标。

All isotropic constants of regular polyhedron in a three dimensional space are given in this paper. The result shows that the guess is right in a three dimensional space.

给出了在三维空间中全部正多面体的迷向常数的数值，从而说明这一猜测对三维空间中的正多面体是正确的。

Though vector algebra, the theory of Pythagorean Theorem in Three-dimensional Euclidean Space was generalized with n-dimensional Eudidean space.

以向量代数为工具，将三维欧氏空间上的勾股定理在n维欧氏空间上进行了推广，得到了广义勾股定理。

Our main idea is to map the singular problem in high-dimensional space into a nonsingular problem in reduced dimensional space without any loss of optimal discriminatory information with respect to Fisher criterion.

在该理论框架下，最优鉴别矢量集的计算只需要在一个低维向量空间内进行，从而极大地提高了求解效率。

Like the staircase of my signature, it can be represented in two- dimensional space but cannot exist in three- dimensional space.

我喜欢上签名，它可以在两个-维空间，但并不存在于3 -维空间。

This model uses nonlinear mapping to map samples into high dimensional feature space, and compares the distribution of each type of samples in the high dimensional space. So that a binary decision tree is constructed through clustering, which can make the more separable classes classified at the upper node of the binary decision tree. The model overcomes the accumulation of misclassification and avoids the condition of impartibility efficiently. At the same time, each node of decision tree uses binary least squares wavelet support vector machine to obtain higher generalization ability.

该模型利用非线性映射将样本投影到高维特征空间，比较每类样本在高维空间的分布情况，进行聚类构造出一个二叉决策树，使容易区分的类别从根节点逐层分类出来，有效克服了错分积累和避免不可分情况；同时，各个节点采用二值最小二乘小波支持向量机，以获得较高的泛化能力。

The two-dimensional structural units (such as silicon-oxygen tetrahedral sheet, octahedral sheet), interlayer space are assembled according to the sphere close packing manner, and the close packing layers parallel to {0001}. There are several mechanisms to release the difference in size while the silicon-oxygen tetrahedral sheet and octahedral sheet assemble the TO and TOT-type structural layers. The two types of structural layers with different interlayer space fitted together in six kinds of assembling modes and formed six kinds of crystal layers. The combinatorics analysis of the two-dimensional structural units revealed that there may be 28 kinds of TOT type interstradified minerals in six kinds of polysomatic assembling modes of interatradified structure. The structural layer is symmetrical for octahedron sheet in the structure of interstratified minerals and shows polarity characteristics.

结果表明，不同二维结构单元体（包括硅氧四面体片、八面体片、层间域的构筑基本符合球体紧密堆积原理，紧密堆积层平行{0001}；四面体片与八面体片构筑TO和TOT结构层时采取多种机制消除二者在二维尺寸上的差异；两种模式的结构层与不同类型的层间物组装形成六种组装模式的晶层；并通过二维结构单元体的组合规律的分析，计算出可能存在的28种TOT型间层结构，它们分属于6种间层结构多体性组装模式；间层结构中，结构层对于八面体片是不对称的，并在属性上表现出极性特征；间层矿物的晶层类型可用6种多体性组装模式加以表达。

When we imagined the fourth dimension, it was as if we were treating the entirety of three-dimensional space in a particular state as a single point, and drawing a fourth-dimensional line to another point representing space as it is in a different state.

当我们想象第四维的时候，我们将整个第三维想象成了一个点，然后画一条四维的线。

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。