The dimension of V means that any element A in V can always be A 1, A2, ... Then, a 1, a 2, ... an are called bases of linear space v, n is called dimensions of linear space v, and a linear space with dimension n is called n-dimensional linear space, denoted as Vn. Fractal and fractal dimension? With the development of mathematics, Mandelbrot put forward the idea of fractal dimension and fractal geometry for the first time when he gave a lecture at the French Academy in 1973. The word fractal was coined by Mandelbrot, whose original meaning was irregular and fragmented.

Math:

Mathematics is a subject that studies concepts such as quantity, structure, change, space and information. Mathematics is a universal means for human beings to strictly describe the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.