查询词典 dimensional

Presenting a theorem of one dimensional time multiplying ,also a demonstration to the theorem which says that Any point in 3 dimensional spaces of the universe at an certain universal moment possesses equivalent physical quantities of one dimensional time that is equal to total amounts of one dimensional time of the universe at same universal moment; Any point in 3 dimensional spaces of the universe at an certain universal moment , its possessed physical quantities of one dimensional time has an constant ratio with respect to one dimensional space , which is universally equal to space time impedance.

给出了一维时间增殖定理及其证明。该定理指出：在任意宇宙时刻，宇宙三维空间中任意一点具有的一维时间物理量量值均相等并等于在该宇宙时刻宇宙具有的一维时间物理量总量；在任意宇宙时刻，宇宙三维空间中任意一点的一维时间物理量的一维空间变化率均相等且恒等于时空阻抗。

By the numerical analysis of the ultimate bearing capacity of two- and three-dimensional footing under combined loading mode, the results show that the effect of alteration of underground water lever on bearing capacity of three-dimensional foundation is more than on that of two-dimensional foundation, the effect of soil gravity on bearing capacity of three-dimensional foundation is more than that of two-dimensional foundation. At the same time, the numerical calculation process of ABAQUS indicates that whether the geostatic stress is balanced or not has great effect on the numerical convergence. In view of the effect extent of dilation angle of soil on the ultimate bearing capacity and the failure pattern of foundation, the condition of two-dimensional plane strain is higher than that of the three-dimensional foundation.

复合加载模式下，通过对三维矩形基础和二维条形基础进行数值分析，结果表明：黏性土地基中地下水位的变化，对三维矩形基础极限承载力的影响程度高于对二维条形基础的影响；在求解地基极限承载力的过程中，土体重度对三维矩形基础的影响明显高于对二维条形基础的影响，同时ABAQUS数值计算过程表明，地基土体地应力能否合理平衡，对数值求解过程中是否收敛有很大的影响；就土体剪胀角对地基极限承载力的影响程度而言，二维平面应变情况下土体剪胀角对极限承载力的影响比三维情况下的影响更明显，即土体剪胀角对条形基础极限承载力的影响高于三维矩形基础。

All the compounds are characterized by IR and elemental analysis.we design and prepare a bipyridinium supramolecular compound and six coordination compounds, which are also characterized by IR, elemental analysis and X-ray structure analysis. According to X-ray structure analysis, hydrogen bonds and n-n stocking interactions participate in the architecture of three-dimensional framework [H2L1 (NO3)2 (H2O)2]n; one-dimensional zigzag coordination polymer [Hgl21.5CH3OH]n; binuclear metallamacrocycle (HgI2L2)2 3H2O; helical double-stranded one-dimensional coordination polymer [Co2(L2)2-2CH3OH]n; double-stranded one-dimensional coordination polymer [Co2(L3)2-CH3OH-CH3CN]n; and three-dimensional compound [Cu(C5H4NCOO)2(H2O)2]-H2O with hydrogen bonds, three-dimensional coordination polymer {[Cd(C5H6NCOO)2H2O]-DMF}n, which are indirectly obtained from the precursor ligand L3 through metal ion induced the hydrolysis of diamide and self-assembled with the hydrolyzate.

我们首次合成了一个双吡啶鎓超分子化合物和六个过渡金属配合物，并通过IR谱，元素分析和X-ray晶体衍射分析对它们进行了表征。X-ray晶体结构分析表明：超分子化合物[H_2L1·(NO_3)_2·(H_2O)_2]_n是由多种氢键和芳香环间的π-π堆积作用构建的三维无限结构；[HgI_2(L1)·1.5CH_3OH]_n是一维锯齿状配位聚合物；(HgI_2L2)_2·3H_2O是双核金属大环化合物；[Co_2(L2)_2·2CH_3OH]_n是具有一维双螺旋结构的配位聚合物；[Co_2(L3)_2·CH_3OH·CH_3CN]_n为一维双链结构的配位聚合物；以及由非直线形配体L3在金属离子Cu和Cd的诱导作用下发生水解，并且金属离子与水解产物——异烟酸根离子自组装，形成了三维氢键超分子化合物[Cu(C_5H_4NCOO)_2(H_2O)_2]·H_2O和三维配位聚合物{[Cd(C_5H_6NCOO)_2H_2O]·DMF}_n。

For example, zero-dimensional, one-dimensional line, the two-dimensional surface, three-dimensional three-dimensional, and even four-dimensional space-time.

比如，零维的点、一维的线、二维的面、三维的立体、乃至四维的时空。

For example, the zero-dimensional, one-dimensional line, the two-dimensional surface, the three-dimensional to three-dimensional, as well as four-dimensional space-time.

比如，零维的点、一维的线、二维的面、三维的立体、乃至四维的时空。

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

This thesis begins with a problem which appears when applying Graphic Design to the three-dimensional space, giving an analysis on the visual apperceiving orderliness of two-dimensional, three-dimensional and four-dimensional, then tries to talk about the possibility of the crossing, superposition and transformation among Graphic Design, Three-dimensional space Design and Tridimensional Design.

论文从平面设计在空间中应用时出现的问题入手，对视觉的二维、三维、四维的感知规律进行分析，探讨平面、立体、空间设计语言的交叉、重叠与转换的可能性。

The method is realized via the following steps: first to apply Isomap or LLE to get the embeddings of the original data set in the low dimensional space; then to obtain support vectors, which are the most significant and intrinsic data for the final classification result, by using support vector machine on these low dimensional embedding data; subsequently to get support vectors in the original high dimensional space based on the corresponding labels of the obtained low dimensional support vectors; finally to apply support vector machine again on these high dimensional support vectors to gain the final classification discriminant function.

数据挖掘是数据库知识发现中最重要的步骤之一，其目标是从获取的数据中高效准确地挖掘出我们所需要的信息。在实际应用中，数据往往呈现海量、高维、非线性等特性，这些特性给数据挖掘带来了很多问题，例如海量特性导致的计算效率低下问题、高维特性带来的维数灾难问题和非线性特性引起的线性模型失效问题等。幸运的是，实际中高维数据的属性之间往往存在一定的规律性和相关性，即实际数据经常存在着外在与内在两个维数。

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

A numerical calculation program is written up for the various solution methods in this paper and the program is being used in various aspects of inverse problem of environmental hydraulics, including inverse problem in reverse process of one-dimensional unstable diffusion, inverse problem in reverse process of convection-diffusion, inverse problem for the dispersion coefficient in water quality model, The inverse problem of coefficient identification for nonlinear Boussinesq equation, parameter identification inverse problem for water quality model, the inversion of parameter of BOD-DO water model, the inverse problem of the source of convection-diffusion, identification of the steady-state permeability for two dimensional isotropic medium, two-dimensional steady inverse problem of convection-diffusion and parameter identification inverse problem for two-dimensional parabolic equation, etc.

对本文提出的各种算法，编制了数值计算程序，并把它应用于环境水力学反问题诸多领域，包括污染物一维非恒定扩散逆过程反问题，对流扩散方程逆过程反问题，河流水质纵向弥散系数反问题，非线性Boussinesq方程反问题，河流水质多参数识别反问题，BOD-DO水质模型参数反演问题，对流—扩散方程源项反问题及二维恒定各向同性介质渗透系数反问题，二维定常对流——扩散方程及二维抛物型方程参数控制反问题等。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。