相似对称的

Asymmetrical dynamic propagation problems under the action of variable loads and (P^3t/x^2) located at the origin of the coordinates respectively, are resolved by the measures of self-similar functions, and the universal expressions of analytical solutions to stresses, displacements and stress intensity factors are gained.

采用自相似函数的方法对坐标原点分别受到变载荷Px/t、Pt^3/x^2作用下的非对称动态扩展问题进行求解，获得了应力、位移和动态应力强度因子解析解的一般表达式。

If the sun were a rigid body, its magnetic field might resemble the earth's, with symmetrical field lines like a bar magnet 's.

如果太阳是一颗固体星球，其磁场或许与地球磁场相似，像条状磁铁那样具有对称的磁力线。

After analyze some kinds of extensions to the classical rough set theory, a new extension of rough set model based on limited non-symmetric similarity relation is developed.

为此，在分析研究已有的扩充粗糙集理论模型的基础上，进一步提出基于限制非对称相似关系的扩充粗糙集模型。

We show a matrix A is similar to an orthogonal matrix over a field of characteristic 2 if and only if ( 1 ) the invariant factors of A are symmetic,(2) A has at least an elementary divisor of the form ( x + 1 ) m.

本文利用矩阵方程证明如下两个结果：设F为一个域char=2，在F上矩阵A相似于一个正交矩阵的充要条件为(1)A的不变因子是对称的。(2)A至少有一个形为(X十1)的初等因子。

To solve this problem,the equivalence relation of rough set theory is replaced by an asymmetrical similar relation,and from this relation,an asymmetrical similar matrix is defined,then a new heuristic algorithm with less space complexity that require core and knowledge reduction based on asymmetrical similar matrix is proposed,and an example is given to confirm the validity of the algorithm.

用非对称相似关系代替粗糙集理论中的等价关系，定义了非对称相似差别矩阵，提出了基于非对称相似差别矩阵的高效求核和知识约简算法。该算法无需改变初始不完备信息系统的结构，能直接处理缺省数据。实验结果表明，新算法所获得的决策规则简洁、高效，与缺省值无关。

As for as the two-component WKI equation, symmetry reductions and similarity solutions which correspond to an optimal system of its Lie point symmetry groups are given systematically.

基于对称群理论，这一部分主要研究包括WKI系统在内的几个微分方程的对称及其在对称下的相似解。

In addition, the connection of complex matrices and complex symmetric matrices , namely every complex matrix is similar to a complex symmetric matrix, is found.

另外，本文找出了复对称矩阵与一般的复矩阵的关系，即每个复矩阵都相似一个复对称矩阵。

To effectively reconfigure General Bill of Material, reconfiguration process of GBOM based on data-mining was proposed. BOM instances were represented by the weighted unordered tree graph generally, and the algorithm of similarity measurement between two similar BOM instances were presented based on the minimum weighted symmetric difference. In terms of the results of the similarity measurement, all the typical BOM instances were clustered based on the k-Means clustering method.

为有效地重构新型的通用物料清单，提出了基于数据挖掘的通用物料清单重构过程，运用赋权无序树形图表示产品物料清单实例，基于最小赋权对称相异度给出了相似物料清单实例之间的相似度度量算法；基于物料清单实例之间的相似度度量结果，采用k-Means聚类方法对物料清单实例进行聚类。

In many practice problems such as to know the resonnance frequency of a structure and to know the critical value for the stability of a dynamical system,often need to compute the eigenvalues of a symmetric matrix. The chief method to compute the eigenvalues of a symmetric matrix is first to transformate the matrix to a symmetric tridiagonal matrix similarly and orthogonally, then to use the QR method with shift to the symmetric tridiagonal matrix.

很多实际问题，如求结构振动的固有频率，动力系统稳定性的临界值等常常归结为计算对称矩阵的特征值，而首选的计算方法是先把该矩阵正交相似变换成一个对称三对角矩阵，再对这个对称三对角矩阵用带位移的QR方法。1968年J.H。

The Chinese numeral "O" and the English letter "o" are very much alike , and " o"is axial symmetrical. Chinese etymons such as"木","雨","禾","圭"and"示"are basically axial symmetrical.

中国数字O或零，与英文字母 O 完全相似，而&O&具有上下左右对称的特征，中文字根如&木&，&雨&，&禾&，&圭&和&示&，基本上都是左右对称。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失