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We found one dictionary that defines the word hyperfield:

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  1. hyperfield: Wiktionary

Definitions from Wiktionary (hyperfield)

noun:  (mathematics) A field in which the operation of addition is multivalued
noun:  (anatomy) A region of the visual field that maps to multiple hypercolumns.
noun:  (science fiction) One of various fictional fields in which special physical properties are supported.

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