Sorry, no online dictionaries contain the exact phrase upper bounds.
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Reverse dictionary results:
1. ceiling
 2. bound
3. boundaries
4. caps
5. ceilings
6. hold
7. limit
8. limitations
9. limiting
10. limits
 11. top
12. excess
13. jumper
14. circle
15. line
16. lip
17. part
18. boundary
19. confine
20. confines
 21. confining
22. exceed
23. exorbitant
24. extravagant
25. impertinent
26. inordinate
27. leaps
28. measure
29. outrageous
30. outside
 31. overflow
32. prance
33. reasonable
34. restrain
35. restrained
36. restraining
37. transcendent
38. transgression
39. unconscionable
40. unreasonable

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You can look up the words in the phrase individually using these links:   upper ?   bounds ?
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