查询词典 three-dimension space

Using tools from dynamical system theory, such as phase space diagrams, Frequency analysis, Poincare sections and the calculation of statistical quantity of chaos: the correlation dimension, Reni entropy, Laypunov exponent and so on, the different solutions to the Navier-Stokes equations at different values of the Reynolds number have been identified and characterized through reconstructing the phase space of velocity time series by means of time delay and dimension embeding.

通过时间延迟和维数的嵌入对速度时间序列重构相空间，利用非线性动力系统理论方法诸如相空间分析，频谱分析，Poincare映射，以及通过对混沌统计量：关联维数，Reni熵，Laypunov指数等计算，对不同雷诺数N-S方程解的特征作了分辨。

As a result, the features can be of 2-dimension, 1-dimension or 0-dimension, such as auxiliary face and center line axes.

这样，基本特征用一个体表示，模型中可以定义不同维数的特征，如辅助面、中心线等特征。

Regular Fractal Dimension Calculation is discussed by using Koch Curve and Cantor Ternary Set.Additivity of regular fractal dimension is discussed by continuation of Koch Curve with line and Cantor Ternary Set in vertical direction.CircumferenceArea,Variation,Grid and Radius methods of calculation statistical fractal dimension are introduced.

本文以科赫曲线与康托尔三分点集为例，讨论了有规分形维数的计算；以科赫曲线在垂直方向的两种拓展为例，讨论了有规分形维数的加和性；以周长—面积法、变量法、网络法与半径法为例，介绍了无规分形维数的计算方法。

In this design, the dimension M of the memory vector field may be not necessarily equal to the dimension N of the network vector field. This may be the usually case in applications. Designing a network with either static or oscillating behavior, after analysing the dynamical. behavior of its four-dimension subspace, we get 2-torus in the subspace. If we vary the ratio of the imagine parts of the complex conjugate eigenvalues, the periodic motion of all kinds of period ratio on 2-torus are obtained.

设计一个既具有静态平衡点又具有动态振荡的网络，其静态平衡点由多余维叉形分叉得到，动态振荡形式由多余维Hopf分叉得到，通过对其中一个具有振荡行为的四维子空间的进一步分析，可以得到网络在四维子空间中的二环面运动，适当调整约当形中共轭复特征根虚部的比值，可以得到各种周期比的二环面上的周期运动。

Part 2, particularizes the ecological dimension, the social dimension and the economics dimension of the sustainable development theory.

第二部分，具体分析了可持续发展理论的生态环境维度、经济维度和社会维度。

A DRAT (Dimension Reduction and Absolute value Transformation) Method is proposed, which through the establishment of a minimum set of thelinear parameters in the spectrum model and its absolute value transformation, makes the 3M+1 dimension constrained optimizingprohlem into an equal 2M dimension unconstrained one.

谱峰分离的拟合方法涉及到比较复杂的高维和强非线性的数学规划问题。这使得一些流行的计算方法的收敛性强烈地依赖于初始参数值的质量l'I5l。

Introduce the elementary knowledge related to dimension chain; Propose mathematical model of dimension chain, and analyze the process to build mathematical model; Analyze the search process to generate dimension chain using deep first search method.

介绍尺寸链的相关基础知识；提出尺寸链数学模型，分析了以图论为基础的数学模型的建立；分析了以深度优先搜索法进行尺寸链自动生成的搜索过程。

Finally, the calculation process of CGR graphic's multi-fractal analysis was studied. the scope of choice of the weight factor and the scale invariance range were discussed, the weight factor can be chosen as ? 15≤q≤50; multi-fractal spectrum and generalized dimension of different sequence were calculated, multi-fractal spectrum and generalized dimension in different scales of different sequences were compared, it was found that multi-fractal spectrum and generalized dimension can show different levels of fractal characteristics of CGR graphics of DNA sequence, which can distinguish more complex structure of sequences.

最后，研究了DNA序列CGR图形的多重分形的计算过程，讨论了权重因子及满足标度不变性的范围选择等问题，得到结论：对CGR图形进行多重分形时权重因子可以选择为-15≤q≤50；计算了不同序列的多重分形谱和广义维数，比较了不同序列不同尺度的多重分形谱和广义维数，发现多重分形谱和广义维数能够表现DNA序列CGR图形的不同层次的分形特征，能够区分更复杂的序列结构。

When Windows was first introduced, the standard video adapter boards were the IBM Color Graphics Adapter, which had a pixel dimension area of 640 by 200 pixels; the Enhanced Graphics Adapter, which had a pixel dimension of 640 by 350 pixels; and the Hercules Graphics Card, which had a pixel dimension of 720 by 348 pixels.

当 Windows 首先被引入时，标准的视频适配器板是 IBM 彩色图形适配器，它有 640 200 像素的像素尺寸区域；增强的图形适配器，它有 640 350 像素的像素尺寸；Hercules 图形卡，它有 720 348 像素的像素尺寸。

Statistical methods were chi-square analysis and t-test.resultsstatistical significance existed in: mental and physical misery dimension between male and female students; perspective-taking dimension between students of arts and of science; imaginativeness and sympathy dimensions between class-leader and non-class-leader; sympathy dimension between only-child and non-only-child. no statistical significance was found among the students in city and village.

结果 男女大学生在身心忧急维度上差异存在统计学意义；文理科学生在观点取替维度上差异存在统计学意义；学生干部与非学生干部在幻想力、同情关怀2个维度上差异存在统计学意义；独生子女与非独生子女大学生在同情关怀维度上差异存在统计学意义；家住城镇与家在乡村的大学生各维度差异均无统计学意义。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。