基本解释：双曲对合
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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。
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。
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。
By drawing the double logarithmic curves of fracturing pressure and construction time, the data of pressure response could be obtained after sands jam happened.通过做出压裂施工压力和施工时间的双对数曲线 ,可以确定砂卡发生后的压力响应数据 ,将这些数据进行线性回归 ,求得直线段斜率 ,然后根据求得的斜率和相关的裂缝参数 ,即可求出裂缝中砂卡的位置。
Initial boundary value problems for a class of semilinear symmetric hyperbolic systems with discontinuous data;一类半线性对称双曲组的强间断初边值问题
