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is A,B,C,D in the database the same as D,C,B,A? Or does order infer orientation?


It uses a hash which is scale and orientation independent. A lot of the details are described in this paper:

https://arxiv.org/abs/0910.2233


Order cannot infer anything. Only people, animals, and some programs can infer. Inanimate facts can at most imply.




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