查询词典 odd dimensional space

Let M~n(n≥3)be an n-dimensional complete noncompact oriented submanifold in an-dimensional Euclidean space R~.

他们还进一步证明：若M具有有限指标，则M上L~2调和1-形式空间的维数是有限的，且M仅有有限个端[35]。

This series of works mostly uses woven objects are 3-dimensional or 2-dimensional, they all use a single, fragmented element, utilizing regular or irregular methods to construct an image or a space; for example, paintings, installations, multi-media, or sculptures.

而这一系列作品，主要是使用三度或二度空间的编织物，它们都是使用单一且不完整的元素，运用不规则与规则的方式来建立影像或进行空间的装置；例如，平面绘画、装置艺术、复合媒材或雕塑作品等。

This method assumes a global embedding function in low dimensional space, then incorporates the relative compactness information of the data distributions on the global geometry to reconstruct sample data. Finally, the global low dimensional submanifold is obtained by minimizing the cost function.

该方法首先假定目标空间的整体映射函数，然后结合数据的全局几何结构分布信息进行数据重构，最后通过最小化准则函数来得到嵌入高维空间的低维子流形。

In the two-dimensional surface on the car is no easy thing, so it is not difficult to imagine a leap into the air when the three-dimensional space, driving, traffic planning is all the more high-tech network.

在二维的地面上开车就不是件简单的事儿，所以不难想像，当跃升到空中的三维空间时，驾驶、交通网规划更是高新技术。

Kelvin of thermodynamic temperature unit is consists of 4 dimensional space , minus 4 dimensional time and an coefficient of 22.77 ,its physical expression has upgraded into

热力学温度单位开尔文是由4维空间，负4维时间和系数22.77构成的，其物理学表述升级为

The three dimensional animation form gradually towards to diversification, the three dimensional animation lighting design performance space more and more widely.

三维动画的表现形式逐步走向于多样化，三维动画灯光设计的表现空间也越来越广泛。

We developed a 2D3V (two dimensional in space and three dimensional in velocity) particle-in-cell code APIC2D.

该程序的主要特点是对粒子模拟中的一些算法进行了优化，主要工作包括： 1、将等离子体粒子模拟中得到广泛应用的Borris旋转推动粒子方法进行了改进。

A currency formula of Laplace space solutions is obtained on the non-dimensional reservoir pressure and the non-dimensional wellborn pressure.

在尺度变换下具有"自相似性"和"标度不变性"，从有限认识无限的特殊规律的科学。

Then, according to phase space reconstruct technique from one-dimensional and multi-dimensional time series, the quantitative criterion and rule of system chaos which combine neural network, analyses, computations and sort are conducted on EEG signals of five kinds of human consciousness activities. The author finds that statistic results of the determinism computation in time series indicate that chaos characteristic may lie in human consciousness activities, and central tendency measure is consistent with phase graph, so it may become one division way of attractor; approximate entropy of different subjects exists discrepancy; correlation dimension and Lyapunov exponent of different consciousness activities indicate that attractors of human activities are all fractional; nonlinear quantitative criterion and rule, which unites neural network, can distinguish different styles of consciousness activity in principle, and the result of sortation takes on that consciousness activity type of arithmetic is distinguished more easily than that of abstract.

采用一维与多维时间序列相空间重构技术和系统混沌的定量判据准则，结合神经网络，对五种思维作业方式的脑电信号进行了分析、计算与分类，发现确定性计算的统计结果表明人类的意识活动中可能蕴含混沌特性，中心趋向测量(Central Tendency Measure，CTM)与相图吻合较好，可作为EEG吸引子的区分方法之一；功率谱分析反映出单个受试者的各种意识形态的差异很小，但是不同意识活动谱中的活跃频段还是略有差异的；个体之间的近似熵存在差异，同种状态下近似熵大的人可能具有更好的创新性；关联维数和Lyapunov指数的计算结果表明大脑的运动落在具有分维的奇怪吸引子上；非线性量化方法与神经网络相结合，可对人脑思维活动进行较好的分类，并且从分类结果来看数理计算类思维活动较抽象类思维活动有着更好的区分度。

In this paper,by the matrix method,a necessary and sufficient condition for two n-dimensional synclastic simplexes to be able embedded in the n-dimensional Euclidean space is obtained,as well as for two group finite point sets.

该文利用矩阵的方法，获得了两个同向的n维单形同时等距嵌入E~n维欧氏空间的一个充分必要条件是：对于预给(n+1)~2个距离，满足一组具有行列式形式的不等式组det，由此可以得到两组等数量的有限点集合到E~n维欧氏空间中等长嵌入的一个充分必要条件。

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。