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We found one dictionary that defines the word protoadditive:

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  1. protoadditive: Wiktionary

Definitions from Wiktionary (protoadditive)

adjective:  (mathematics, of a function) Having the property that the result when applied to x + y is less than or equal to the sum of the result when applied to x plus the result when applied to y, for all values x and y in the domain.

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