What is a fractal?


Fractal in mathematics is a set or dimension that usually exceeds its topological dimension and may fall between the integers.  It is a natural phenomenon in the mathematical set that a pattern of repeating is display at every scale.  A bit hard to grasp conceptually but quite debatable.   From a pragmatic level it can be interpret through SQL  a.k.a. Structured Query Language is a computer language.  It has a very robust mathematically platform that is capable of performing “fuzzy logic”.   In my opinion, one can look at similarity of fuzzy logic and fractal that a pattern is detected and able to project the various scales of such repeating pattern.  In other words,  By using fuzzy logic to search a specific object when various scale or metamorphosis of the same objects were given.  Therefore,  using mathematical calculations of fuzzy logic,  one can discern the intended objects from a pool of morphed objects but in essence the same object.  Simply, the fuzzy set can be looked as different scales of the same set.

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