dilation symmetry meaning in English
伸缩对称
Examples
- Two important characteristics of the fractal are self - similarity and dilation symmetry . the fractal dimension is a basic parameter that describes the fractal quantificationally
分形维数是定量描述分形的基本参量，是标度变换下的不变量。 - In this way thick and big floes are formed . this process decides that floes have self - similarity and dilation symmetry in a certain extent , and they are two important characteristics of the fractal
这一过程决定了絮凝体在一定范围内具有自相似性和标度不变性，这正是分形的两个重要特征。 - The braess paradox model is taken as an example to reveal the essence of entropy - maximization and utility - maximization which lies in the unity of the most efficient for the whole and the fairest for local parts and individuals . the internal symmetry of the scaling laws are bring to light based on the dual model of entropy - and utility - maximization . the internal symmetry including translational symmetry , dilation symmetry , and bilateral symmetry originate from relative energy - conservation and information conservation of urban systems reflected by the dual models , and parity conservation of scaling laws
揭示标度律及其等价模型各种对称性质,发现城市系统具有平移对称、镜像对称和标度对称等内部对称性,这些对称性都对应着城市系统的不可观测量,其本质在于系统内部隐含的守恒律,包括标度变换的奇偶守恒、能量和信息的相对守恒等。