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The determinant G(f_1,f_2,...,f_n)=|intf_1^2dt intf_1f_2dt ... intf_1f_ndt; intf_2f_1dt intf_2^2dt ... intf_2f_ndt; | | ... |; intf_nf_1dt intf_nf_2dt ... intf_n^2dt|.

Given a set V of m vectors (points in R^n), the Gram matrix G is the matrix of all possible inner products of V, i.e., g_(ij)=v_i^(T)v_j. where A^(T) denotes the transpose. ...

Let f_1(x), ..., f_n(x) be real integrable functions over the closed interval [a,b], then the determinant of their integrals satisfies

A special case of a flag manifold. A Grassmann manifold is a certain collection of vector subspaces of a vector space. In particular, g_(n,k) is the Grassmann manifold of ...

The dual of the uniform great rhombicosidodecahedron U_(67) and Wenninger dual W_(105).

The dual of the uniform great rhombicuboctahedron and Wenninger dual W_(85).

The dual of the great dirhombicosidodecahedron U_(75) and Wenninger dual W_(119).

The dual of the great truncated cuboctahedron U_(20) and Wenninger dual W_(93).

The dual of the great truncated icosidodecahedron U_(68) and Wenninger dual W_(108).

The dual of the great ditrigonal dodecicosidodecahedron U_(42) and Wenninger dual W_(81).