Sorry, no online dictionaries contain the exact phrase non-convex set.
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Reverse dictionary results:
1. adjust
 2. adjusted
3. adjusts
4. adopted
5. against
6. aggregate
7. all
8. apparatus
9. arrange
10. arranged
 11. assembly
12. assigned
13. attach
14. attached
15. attack
16. balance
17. ball
18. based
19. batch
20. bent
 21. build
22. clear
23. cluster
24. collection
25. collet
26. combinations
27. compilation
28. complete
29. comprehensive
30. configuration
 31. configure
32. configured
33. configuring
34. congeal
35. conjunction
36. consolidated
37. constitution
38. coterie
39. create
40. created

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You can look up the words in the phrase individually using these links:   non-convex ?   set ?
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