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References to 'Sylvester's law'
1. anti-idempotent by mathcam
2. Cauchy matrix by kshum
3. Cayley's parameterization of orthogonal matrices by rspuzio
4. circulation and vorticity by perucho
5. derivative notation by mathcam
6. determinant by rmilson
7. determining rank of matrix by Algeboy
8. diagonalization of quadratic form by rspuzio
9. dimension by bbukh
10. finite-dimensional linear problem by rmilson
11. hyperbolic plane in quadratic spaces by CWoo
12. Jacobson's theorem on composition algebras by Algeboy
13. linear algebra by rmilson
14. Minkowski space by cvalente
15. nilpotent transformation by rmilson
16. pseudo-Riemannian manifold by cvalente
17. quadratic surfaces by pahio
18. rank-nullity theorem by rmilson
19. scalar by mathcam
20. simple tensor by lars_h
21. spinor by PrimeFan