c***r
发帖数: 3965 | 1 heihei,heihei
I think any parameter that can distinguish one "spot" from
another one can be define as "dimension"
like the meats on a baken duck,
of course, the position of a meat "point" can be defined by the location
of normal 3D space, but also, the taste, saying, the degree of salting,
is different from the meat of other parts, so salting can be also defined
as a dimension. | c***r
发帖数: 3965 | 2 a simple example is a surface with "fenxing" character,
it can be contained in a given 3D space but has infinite surface area,
in this case, the surface is between 2D and 3D | p*******p
发帖数: 13670 | 3 比如，一根线是1D地物体，如果你把这根线一切为3，擦掉当中一段，然后就有2根啦，在
把每一根一切为3，重复下去，第归关系为N=2/3*N,3^d/(3^N)就应该等于(2/3)^N, 这里
N＝1，d就是分形维数啦 | s****y
发帖数: 24 | 4 维数是通过图形的自相似来计算的，比如一个D维的图形，
把它均匀分成和整体相似的N个小图形，整体和小图形之间
的相似比是r. 那么D = logN/logr
把一根线分成N份，则每份是原来的1/N。-> r = N, D = 1
对正方形和立方体，可以得出r = N^1/2和N^1/3所以D = 2和3
对海绵状的物体这样算出来的D在2和3之间，海岸线的D是在1
和2之间
【在 c***r 的大作中提到】
: a simple example is a surface with "fenxing" character,
: it can be contained in a given 3D space but has infinite surface area,
: in this case, the surface is between 2D and 3D
| o*****e
发帖数: 435 | |
|
