Fractals and Multifractals in Fluid Turbulence

摘要

The theory of . . . lines and surfaces, for example, has long been recognized asan important branch of geometry, but in treatises on motion it was regarded as lying as much outside of the subject as the four rules of arithmetic or the binomial theorem .... geometry itself is part of the science of motion, and THAT it treats, not of the relations between figures already existing in space, but of the process by which these figures are generated by the motion....... This method of regarding geometrical figures seems to imply that the idea of motion underlies the idea of form ....