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Covolume


The covolume of a full-rank point lattice L subset R^n is the volume of a fundamental parallelepiped of L. If the columns of the matrix B form a basis of L and G=B^TB is the gram matrix, then

 covol(L)=|det(B)|=sqrt(det(G)).

See also

Determinant, Fundamental Parallelepiped, Gram Matrix, Point Lattice, Volume

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Cite this as:

Weisstein, Eric W. "Covolume." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Covolume.html

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