Sorry, no online dictionaries contain the exact phrase mathematical field.
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Reverse dictionary results:
1. extension
 2. subfield
3. algebra
4. base
5. computation
6. division
7. domain
8. induction
9. law
10. logic
 11. mathematics
12. ring
13. rule
14. square
15. statistics
16. theory
17. scalar
18. conversion
19. equal
20. math
 21. order
22. power
23. sector
24. space
25. symbol
26. envelope
27. statistician
28. dynamics
29. technology
30. biometrics
 31. indicator
32. language
33. work
34. addition
35. affine
36. analyse
37. analysis
38. analytic
39. antecedent
40. argument

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You can look up the words in the phrase individually using these links:   mathematical ?   field ?
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