Sorry, no online dictionaries contain the exact phrase n-ary operation.
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Reverse dictionary results:
1. unary
 2. monadic
3. one-fold
4. -stomy
5. abandonment
6. abort
7. abortion
8. abstract
9. abuse
10. acceptability
 11. access
12. act
13. acted
14. action
15. actions
16. activate
17. activation
18. active
19. activities
20. activity
 21. acts
22. actuation
23. acupuncture
24. add
25. addition
26. adf
27. adhere
28. adjustment
29. administer
30. administration
 31. advancement
32. adventure
33. aeration
34. aeronautics
35. affair
36. afoot
37. aftercare
38. against
39. agency
40. agribusiness

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You can look up the words in the phrase individually using these links:   n-ary ?   operation ?
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Not helpful? You might try using the wildcards * and ? to find the word you're looking for. For example, use
n-ar*to search for words beginning with n-ar, or
*tionto search for words ending with tion
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