Sorry, no online dictionaries contain the exact phrase piecewise linear map.
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Reverse dictionary results:
1. hyperplane
2. affine
3. continuous
4. smooth
5. bilinear
6. pwa
7. linearized
8. multilinear
9. nonlinear
10. uniform
11. logistic
12. parameter
13. spline
14. monotonic
15. polynomial
16. quadratic
17. area
18. projection
19. trace
20. alignment
21. bar
22. barred
23. bars
24. boe
25. bow
26. column
27. cylinder
28. diameter
29. direction
30. dislocation
31. dwell
32. eod
33. footage
34. foreshorten
35. length
36. linearization
37. linearize
38. lineation
39. measure
40. point

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You can look up the words in the phrase individually using these links:   piecewise ?   linear ?   map ?
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piec*to search for words beginning with piec, or
* mapto search for words ending with map
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