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Inductive reasoning makes conclusions or generalizations based on probabilistic reasoning.
en.wikipedia.org The inner product is a generalization of the dot product of vectors.
en.wikipedia.org This latter process is sometimes referred to as generalization or rule learning.
en.wikipedia.org The generalizations that exist are quite complex and there are many exceptions, leading to a considerable amount of rote learning.
en.wikipedia.org However, one may answer the second question by use of reasoning, introspection, prescription, and generalization.
en.wikipedia.org