Sorry, no online dictionaries contain the exact phrase coordinate induced basis.
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Reverse dictionary results:
1. cosine
 2. intercept
3. pole
4. poles
5. radius vector
6. sine
7. translation
8. pool
9. coordinating conjunction
10. gradient
 11. interface
12. ordinate
13. cold
14. high
15. focus
16. from
17. gist
18. original
19. source
20. tag
 21. amphiarthrosis
22. balance
23. balancing
24. bind
25. brominated
26. cannon
27. cardioid
28. clear
29. complicate
30. cone
 31. cycloid
32. date
33. dating
34. diallage
35. diminishing return
36. distal
37. distill
38. egomania
39. elixir
40. epicycloid

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You can look up the words in the phrase individually using these links:   coordinate ?   induced ?   basis ?
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