1) Graphic Symmetry and Defect
图形的对称与破缺
3) Symmetry breaking
对称破缺
1.
Symmetry breaking of temperature field in spatially distributed pure dissipative systems induced by chemical reaction diffusion heat conduction couplings is analyzed in this paper.
分析了由于化学反应 -扩散 -热传导耦合而导致的非等温非均匀体系中温度场对称破缺 。
2.
While a boundary of segmentlike are existed,a new symmetry breaking mechanism can be established with defining of the boundary conditions.
首先讨论了额外空间维度模型的基本架构,当额外空间有如线段一般的边界时,通过边界条件的定义,可以建立一个新的对称破缺机制。
3.
Since the 1940 s,the study of complex system science shows out that from inorganic material world to organic life world even to the complex social economical world are all of the process of from disorder to order,with which the main dynamical cause is symmetry breaking.
本文通过对非线性、突现、分层等现象的考察,指出每一次对称破缺都可能有新质的突现,从而使自然系统的层次结构跃上一个新的台阶。
4) broken symmetry
对称破缺
1.
Through studying the broken symmetry, which is resulted from the differ.
研究了由于上、下基板锚定强度不同而引起的对称性破缺,以及对称破缺和磁场强度之间的关系,发现了不对称液晶盒一些特殊的现象。
2.
Some qualitative relations between broken symmetry,broken ergodicity and order parameter space are exposed;through them a more fundamental understanding of concepts such as phase transition,meta equilibrium phase is hoped and this makes the thermodynamics and statistical dynamics more coherently related.
考察了对称破缺的数学形式及物理本质 ,说明了对称破缺、各态历经假设及序参量空间的一些简单联系 ,并希望通过这种联系能够更深刻地理解相变、亚平衡等概念 ,增加热力学和统计力学的统一
3.
It is based on Cheng-Born theory of broken symmetry and TFDC(Thomas-Fermi-Dirac-Cheng) electron theory.
应用Cheng-Born能带对称破缺理论和TFDC(Thomas-Fermi-Dirac-Cheng)电子理论研究了薄膜层内电子的特性。
5) symmetry-breaking
对称破缺
1.
The theory and algorithm of symmetry-breaking bifurcation are applied to finding multiple solutions to the boundary value problem of the Henon equation.
运用Liapunov—Schmidt约化和对称破缺分歧的方法,计算了Henon方程边值问题的多个具有不同对称性的数值解。
2.
The theory and algorithm of symmetry-breaking bifurcation are applied to finding multiple solutions for boundary value problems of nonlinear elliptic PDE s, different symmetry properties of nontrivial solutions have been studied, and numerical multiple solutions which have vary symmetry properties bifurcating from bifurcation points are visualized.
用对称破缺分歧理论的方法计算了非线性椭圆型方程边值问题的多个解,讨论了非平凡解的各种对称性质,画出了从各个分歧点出发的具有各种对称性质的解。
3.
We choose D_(10) equivariant Brusslator reaction problem as the research model because of its abundant bifurcation phenomenon and the symmetry-breaking bifurcation theory are used to computing the solu.
本文主要运用Liapunov-Schmidt方法和对称破缺分歧理论计算各类解枝及分歧点，并画出分歧图。
6) symmetry breaking
对称性破缺
1.
We calculate and discuss the threshold voltage u_(th) and the parameter Δ which reflects the symmetry breaking of the director distribution at the middle layer of the cell.
着重考虑了挠曲电效应的影响,导出了指向矢倾角θ满足的微分方程和边界条件,计算和讨论了阈值电压以及指向矢分布对盒中央平面对称性破缺参量Δ。
2.
But symmetry breaking,as the assistant design principles of the universe,is an indirect form of the implicit symmetry.
寻求内在的对称与和谐是宇宙设计的最基本原则,但对称性破缺,作为宇宙设计的辅助原则,则是隐含对称性的间接表现形式。
3.
Besides,it was demonstrated that the(3,9+2)-circle and(9+2,3)-circle fractal sets are golden ones with symmetry breaking.
另外证实了(3,9+2)或(9+2,3)分圆分形花样是一个对称性破缺的黄金分形。
补充资料：图形
图形
figure
图形【匈此:枷rypal 具有基本群G的齐性空间E”的一个子集F，它能包括在此空间的一个子集系统R(F)之中，而R(F)同构于几何对象中的某个空间(见几何对象理论(脚此tricobj眺，山印ryof)). R(F)称为F的甲形宇卿汤乎此sPaCe)·。的分量称为相配图形F的半标(叨司云以此).E”中的每个图形F对应于一类相似的几何对象{小}.{小}中的一个几何对象中的秩、亏格、特征及型称为图形F的攀(m泳)、季挣(g日山t)、特俘(cha.cte由tic)及犁(tyPe)(所谓甲形的算水不变量(面thlnetic in锥riantsof此fiqure)，见【2]).例如，三维Euclid空间中一个圆乃是一个秩为6，亏格为1，特征为1及型1的图形;三维射影空间中一点是一个秩为3，亏格为0，特征为2及型1的图形.定义几何对象小的完全可积Pfalr方程组称为F的平稳方程组(statio班币tys岁tonof闪uatlons). 设F和厂为尸中两个图形.如果存在R(F)到R(厂)上的映射，使得在此映射下每一个与厂相应的几何对象被每一个相应于F的几何对象所覆盖，则称F琴善或粤括了F(F称为被F覆盖或包括).秩为N的图形F称为简单的(s而Ple)，如果它不覆盖任何其他的低秩图形F称为指标等于凡
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参考词条