## Unpopularity of Hyperdeterminants According to Google

October 3, 2008

It is obvious that hyperdeterminants are not well known amongst mathematicians, but just how unpopular are they? One way to test this question is to count the number of entries that google reports for the word hyperdeterminant as compared to other purely mathematical terms. So here is a selected league table according to google

1. algebra 28,300,000
2. determinant 7,670,000
3. polynomial 6,990,000
5. tensor 6,100,000
6. elliptic 4,170.000
7. tetrahedron 2,190,000
8. discriminant 1,940,000
9. toric 1,780,000
10. hypergeometric 1,360,000
11. covariant 1,020,000
12. polyhedron 963,000
13. cohomology 951,000
14. automorphism 600,000
15. functor 584,000
16. quaternion 469,000
17. hyperbola 411,000
18. quartic 391,000
19. diophantine 369,000
20. multilinear 334,000
21. polytope 294,000
22. dodecahredon 278,000
23. endomorphism 204,000
24. pseudodifferential 202,000
25. contravariant 162,000
26. grassmanian 105,000
27. cobordism 79,000
28. pfaffian 56,200
29. profinite 36,600
30. octonion 33,000
31. antiprism 30,100
32. circumsphere 11,100
33. zonohedra 4,770
34. disphenoid 4,620
35. hyperdeterminant  4,480
36. cubicuboctahedron 745

Obviously I have used a very random selection of terms but it illustrates just how unpopular hyperdeterminants are. Only the most obscure geometric terms are less common. Hyperdeterminants are rich in structure and properties and there are many mysteries and unsolved problems related to them. Their neglect makes them all the more interesting to study.