- In mathematics, a
unimodular matrix M is a
square integer matrix having determinant +1 or −1. Equivalently, it is an
integer matrix that is invertible...
- mathematics,
unimodular may
refer to any of the following:
Unimodular lattice Unimodular matrix Unimodular polynomial matrix Unimodular form
Unimodular group...
- In
geometry and
mathematical group theory, a
unimodular lattice is an
integral lattice of determinant 1 or −1. For a
lattice in n-dimensional Euclidean...
-
above sense) but not
unimodular. For example, over the integers, the
pairing B(x, y) = 2xy is
nondegenerate but not
unimodular, as the
induced map from...
- In mathematics, a
unimodular polynomial matrix is a
square polynomial matrix whose inverse exists and is
itself a
polynomial matrix. Equivalently, a polynomial...
- } . The left and
right Haar
measures are the same only for so-called
unimodular groups (see below). It is
quite simple, though, to find a relationship...
- In mathematics, the
Leech lattice is an even
unimodular lattice Λ24 in 24-dimensional
Euclidean space,
which is one of the best
models for the kissing...
-
vector length on a
given vector machine. The
unimodular transformation approach uses a
single unimodular matrix to
describe the
combined result of a sequence...
-
integer entries has a (row)
Hermite normal form H if
there is a
square unimodular matrix U
where H=UA and H has the
following restrictions: H is
upper triangular...
- and in thirty-two dimensions,
there are at
least 1,160,000,000 even
unimodular lattices (of
determinants 1 or −1);
which is a
marked increase from the...
