Sorry, no online dictionaries contain the exact phrase piecewise linear collapse.
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Reverse dictionary results:
1. continuous
2. smooth
3. uniform
4. bilinear
5. hyperplane
6. pwa
7. linearized
8. multilinear
9. nonlinear
10. affine
11. monotonic
12. polynomial
13. quadratic
14. affine geometry
15. analytic
16. diffeomorphism
17. differentiability
18. entire
19. symplectic
20. bust
21. dall
22. die
23. fail
24. fall
25. falls
26. flop
27. founder
28. sound
29. linearize
30. measure
31. seam
32. straight
33. string
34. fallen arch
35. rope
36. roping
37. abridge
38. aeneid
39. agraphia
40. air

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You can look up the words in the phrase individually using these links:   piecewise ?   linear ?   collapse ?
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