Sorry, no online dictionaries contain the exact phrase half factorial.
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Reverse dictionary results:
1. factory
2. account
3. accounting
4. element
5. imaginary part
6. imaginary part of a complex number
7. ingredient
8. mechanism
9. speed
10. arithmetic
11. decimal
12. division
13. factor
14. fraction
15. graph
16. gravimetric
17. header
18. logarithm
19. modified
20. quotient
21. subroutine
22. variance
23. exclamation mark
24. aggregative
25. anova
26. correlational
27. datagram
28. datatype
29. diagram
30. divisor
31. enumerative
32. eqs
33. flowchart
34. integer
35. lookup
36. multidimensional
37. multivariate
38. numerical
39. operand
40. optimised

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You can look up the words in the phrase individually using these links:   half ?   factorial ?
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