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[Documents] fenxing DL : 0: 分维，又称分形维或分数维，作为分形的定量表征和基本参数，是分形理论的又一重要原则。长期以来人们习惯于将点定义为零维，直线为一维，平面为二维，空间为三维，爱因斯坦在相对论中引入时间维，就形成四维时空。对某一问题给予多方面的考虑，可建立高维空间，但都是整数维。在数学上，把欧氏空间的几何对象连续地拉伸、压缩、扭曲，维数也不变，这就是拓扑维数。然而，这种传统的维数观受到了挑战。曼德布罗特曾描述过一个绳球的维数：从很远的距离观察这个绳球，可看作一点(零维)；从较近的距离观察，它充满了一个球形空间(三维)；再近一些，就看到了绳子(一维)；再向微观深入，绳子又变成了三维的柱，三维的柱又可分解成一维的纤维- Fractal dimension, also known as the fractal dimension or fractal dimension, as the quantitative characterization and basic parameters of the fractal, is another important principle of fractal theory. It has long been accustomed to point defined as zero-dimensional, linear one-dimensional, two-dimensional plane, three-dimensional space, Einstein s theory of relativity introduced in the dimension of time, to form a four-dimensional space-time. On an issue given various considerations, the establishment of high-dimensional space, but they are integer dimension. In mathematics, the Euclidean geometry of space objects continuous tension, compression, distortion, dimension remains unchanged, which is topological dimension. However, the traditional concept of dimension has been challenged. Mandelbrot has described the dimension of a rope ball: observe the rope ball a great distance, can be seen as one point (zero-dimensional) distance closer observation, it is full of a spherical space
Date : 2026-01-24 Size : 349kb User : 丁智雄