查询词典 infinite dimensional

According to two logical judgements, the relation of the semi-infinite plane strain problem and semi-infinite spatial problem is found through analyzing the classical answer of wedge, semi-infinite plane, cone and semi-infinite spatial etc. The Flament answer of semi-infinite plane strain problem and the Boussinesq answer of semi-infinite spatial problem are confinable from the relation.

根据两个合理的判断依据，对弹性力学中的楔形体、半平面体、圆锥体和半空间体等经典解答进行了比较分析，发现了半无限平面应变问题和半空间体问题解答之间的关系；通过对解答之间的关系进行研究分析指出，弹性力学中的半无限平面体的符拉芒解答和半空间体的布希涅斯克解答存在局限性。

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。

This paper tries to give a definition of the sum and the product of infinite infinite simal,and it also tries to give some examples to illustrate the sum and the product of infinite infinite simal being or not being infinite simal.

给出了无限个无穷小的和、积的一种定义，并用例子指出无限个无穷小的和、积既可能是无穷小，也可能不是无穷小。

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。

The general infinite dimensional modal system describing liquid nonlinear sloshing is derived first by pressure integral variational principle. After selecting two dominating modes and three secondary modes based on the Narimanov-Moiseev third order asymptotic hypothesis, the infinite dimensional modal system is reduced to a five dimensional asymptotic modal system.

首先通过压力积分变分原理推导出描述液体作非线性晃动的一般形式无穷维模态系统，然后根据 Narimanov-Moiseev三阶渐近假设关系，通过选取二阶主模态和三阶次模态，将无穷维模态系统降为五维渐近模态系统。

To seek new infinite sequence exact solutions to nonlinear evolution equationsNEE(s, the formula of nonlinear superposition of the solutions of the second kind of elliptic equation are given, infinite sequence exact solutions to combined KdV with varible coefficients and forcible term is constructed with the aid of symbolic computation system Mathematica, which include Jacobi-like elliptic function solutions, infinite sequence soliton-like solutions and infinite sequence triangular function solutions.

为了获得变系数非线性发展方程的无穷序列精确解，给出第二种椭圆方程解的非线性叠加公式，借助符号计算系统Mathematica构造了带强迫项变系数组合KdV方程的无穷序列精确解。这里包括无穷序列类Jacobi椭圆函数解、无穷序列类孤子解和无穷序列三角函数解。

It investigates mainly infinite matrix conver-gence、infinite matrix transformations、the automatic continuity and boundedness of infinitematrix operators、infinite matrix topological algebras、invariant theory、infinite matrix meth-ods、compact operators series and Eberlein-Smulian theorem,etc.

主要研究了无穷矩阵收敛、无穷矩阵变换、无穷矩阵算子的自连续性和自有界性、无穷矩阵拓扑代数、不变性理论、无穷矩阵方法、紧算子级数与Eberlein-Smulian定理等。

When I started coding, I had problems with the ASF file writer.

当我开始编码，我曾与ASF文件作家的问题。

I know that in one of the schools the boys have risen up in the classroom and enlisted in a mass.

如果你们也和他们一样，是集体自愿的话，你们的老师将是多么地光荣啊。