Sorry, no online dictionaries contain the exact phrase pillais arithmetical function.
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Reverse dictionary results:
1. add
 2. average
3. logic
4. algebraic
5. algebraical
6. mean
7. logistic
8. transcendental
9. means
10. adf
 11. algebra
12. arithmetic
13. asd
14. balance
15. calculating machine
16. calculation
17. cast
18. cipher
19. computation
20. divide
 21. educated
22. figure
23. fraction
24. mathematical
25. multiplication
26. number
27. numerate
28. plus
29. quipu
30. ratio
 31. sum
32. summing
33. borrow
34. example
35. numbering
36. numbing
37. real
38. accumulator
39. balancing
40. central processing unit

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