Usually means: Not sharing any eigenvalues or states.
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We found 4 dictionaries that define the word nondegenerate:

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

Science (1 matching dictionary)
  1. nondegenerate: PlanetMath Encyclopedia

Definitions from Wiktionary (nondegenerate)

adjective:  (mathematics, physics) Not degenerate.
noun:  (mathematics, physics) An instance or configuration that is not degenerate.

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