Usually means: Not expressible by elementary functions.
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We found 3 dictionaries that define the word nonelementary:

General (3 matching dictionaries)
  1. nonelementary: Merriam-Webster
  2. nonelementary: Collins English Dictionary
  3. nonelementary: Wiktionary

Definitions from Wiktionary (nonelementary)

adjective:  Not elementary.

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