fractal sets造句

• But this changes for fractal sets.
• The ensemble formed by all the points that share the same singularity exponent is called the " singularity manifold of exponent h ", and is a fractal set of fractal dimension D ( h ).
• Hofstadter predicted on theoretical grounds that the allowed energy level values of an electron in a two-dimensional square lattice, as a function of a magnetic field applied to the system, formed what is now known as a fractal set.
• An alternative process that generates the same fractal set is to begin with a rectangle with sides in the ratio 1 :  " 2, known as a " silver rectangle ", and repeatedly bisect it into two smaller silver rectangles, at each stage connecting the two centroids of the two smaller rectangles by a line segment.
• The Hausdorff measure is a generalization of the Lebesgue measure that is useful for measuring the subsets of "'R " "'n " of lower dimensions than " n ", like submanifolds, for example, surfaces or curves in "'R "'?and fractal sets.