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1)  double-symmetry
双对称
2)  bisymmetric solution
双对称解
1.
An algorithm was constructed to solve the least squares bisymmetric solution of a class of matrix equation.
构造了一种迭代法求一类矩阵方程的最小二乘双对称解。
3)  hyperbolic symmetry
双曲对称
1.
To construct the patterns with hyperbolic symmetry which are composed of classical fractals,we compress the fractal sets into the hyperbolic limit disc by the hyperbolic symmetry transformations.
方法分析双曲对称群的特点,改造欧式平面上构造经典分形的IFS迭代函数系,利用这种迭代函数系与双曲平面对称变换构造出组合IFS,通过随机挑选组合IFS中的仿射变换,构造双曲排列的分形集。
2.
etc constructed a mapping of hyperbolic limit disc with the hyperbolic symmetry group [p,q]+.
等人利用双曲对称群的生成元构造出了具有[p,q]+对称的双曲极限圆迭代映射。
3.
To construct the images with hyperbolic symmetry [p,q]+ from Iterated Function Systems, the IFS with p-rotational symmetry characteristics , which were composed of multi-contraction affine transformations, were further compressed and rotated to the central lattice of a hyperbolic plane [p,q]+ .
通过双曲几何的等变换矩阵的双曲对称排列,将普通平面上的具有旋转对称特性的有界不变集排列在双曲圆内并生成[p,q]+双曲图案。
4)  bi-symmetry
双对称性
1.
This paper defines a new concept of bi-symmetry for multi-bank wavelets.
本文定义了一个双对称性新概念。
5)  symmetric biderivation
对称双导
1.
Moreover,if R is a 2-torsion free prime ring and U a Lie ideal of R such that u2∈U for all u∈U and γ is a generalized derivation with d≠0,B∶R×R→R is a symmetric biderivation associated with the trace function g(x)=B(x,x),then U■Z(R) when one of the following conditions holds(1) γ acts as a homom.
此外,如果R是2-扭自由的素环,U是平方封闭的李理想,γ是伴随导子非零的广义导子,B:R×R→R是迹函数为g(x)=B(x,x)的对称双导,当下列条件之一成立时U为中心李理想(1)γ同态作用于U(2)2[x,y]-g(xy)+g(yx)∈Z(R)(3)2[x,y]+g(xy)-g(yx)∈Z(R)(4)2(x°y)=g(x)-g(y)(5)2(x°y)=g(y)-g(x)对所有的x,y∈U。
2.
Since Posner s well-known paper appeared in 1957, the research of derivation, generalized derivation, symmetric biderivation, and etc, in prime rings has become an important field in the theory of ring.
自从1957年Posner关于素环上导子的两个著名定理问世以来,素环上导子、广义导子、对称双导等的研究成为环论研究中的一个重要领域。
6)  Double Dissymmetry
双不对称
补充资料:对称与非对称
反映客观事物在结构、功能、时空上的特殊联系的范畴。对称指事物以一定的中介进行某种变化时出现的不变性,非对称指事物以一定的中介进行某种变化时出现的可变性。在自然界中普遍存在,形式多样。对称有空间对称(包括形象对称和结构对称)、时间对称、概念对称等。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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