Sorry, no online dictionaries contain the exact phrase non-archimedean absolute value.

Reverse dictionary results:
1. amplitude
2. modulus
3. radius of curvature
4. absolute value
5. difference
6. odd
7. abs
8. continuous
9. gray code
10. improper fraction
11. proper fraction
12. ace
13. arbitrary
14. deviation
15. down
16. gem
17. gross
18. itself
19. level
20. magnitude
21. maximum
22. most
23. nothingness
24. pitch
25. pitched
26. positive
27. rank
28. ranked
29. ranking
30. real
31. reduce
32. square
33. time
34. total
35. zero
36. simple
37. simples
38. unit
39. worst
40. domain

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You can look up the words in the phrase individually using these links:   non-archimedean ?   absolute ?   value ?
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