The important thing.
The importance of an algorithm is to show how to implement processes and solve mathematical problems mechanically or otherwise. As with mathematical functions, algorithms receive input and transform it into an outlet, behaving as a black box. However, not all black box that makes an entry in an output can be considered an algorithm for an algorithm that can be considered as such should be an orderly sequence, finite and defined (formalized their) instructions. This way you can monitor and predict the behavior of the algorithm for any input as possible (except probabilistic algorithms, which usually has a different output) from the monitoring of this sequence of instructions, which is as orderly and defined, does not result in ambiguities and its trace can be followed
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