Sorry, no online dictionaries contain the exact phrase nonconvex set.
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Reverse dictionary results:
1. convex
2. nonlinear
3. linear
4. quadratic
5. fuzzy
6. constrained
7. bilinear
8. differentiable
9. dimensional
10. extremal
11. hyperbolic
12. nonhomogeneous
13. parametric
14. piecewise
15. polyhedral
16. separable
17. stochastic
18. -age
19. -ploid
20. aang
21. abeyance
22. ablaze
23. abolish
24. above
25. abrogate
26. accent
27. access
28. accordion
29. account
30. accounting cycle
31. accredit
32. accurate
33. ace
34. achieve
35. achieved
36. act
37. action
38. actionable
39. activate
40. activated

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You can look up the words in the phrase individually using these links:   nonconvex ?   set ?
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