Determinant

There are eight gluons. Six--modulo superposition--are sensible color-anticolor color swappers. The other two are fathomless mixtures that can only be described as the remaining linearly independent elements of the group of three-by-three complex unitary matrices with determinant one.

International trade is a key determinant of prosperity.

1999, Noah P. Barsky, Stuart Bruchey (editor), Organizational Determinants of Budgetary Influence and Involvement, Taylor & Francis (Garland Publishing), page 4, Shields and Young (1993) argue that the budget participation literature "has not produced a coherent nor unified definition" of both the determinants and consequences of budget participation.

The field of the social determinants of health is perhaps the most complex and challenging of all.

The aim of this book has been to assess the determinants of capital punishment without taking a stand for or against the death penalty.

1966 [Allyn & Bacon], Howard Whitley Eves, Elementary Matrix Theory, 1980, Dover, Unabridged corrected republication, page 165, The determinant of a square matrix A_(n) is a function (actually a polynomial function) of the elements a_ij of A.

1990, Assem S. Deif, Advanced Matrix Theory for Scientists and Engineers, Gordon and Breach Science Publishers (Abacus Press), 2nd Edition, page 18, Show that the determinant of a Hermitian matrix is real and that of a skew-Hermitian matrix is imaginary.

Using this definition, we derive the basic properties of a determinant that are useful in its evaluation. In particular, it is shown how the calculation of a determinant can be reduced to the calculation of determinants of lower order.

The following proposition shows a connection between negafibonacci numbers and the determinants of a family of tridiagonal matrices. […] Assuming that the determinant det(Gₖ) = f₋₍ₖ₊₁₎ for all k ≤ n, we aim to show that det(Gₙ₊₂) = f₋₍ₙ₊₃₎.