- 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...
-
Mathematical Programming Glossary by
Harvey J.
Greenberg Unimodular Matrix from
MathWorld Software for
testing total unimodularity by M.
Walter and K. Truemper...
-
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...
- } . 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...
-
vector length on a
given vector machine. The
unimodular transformation approach uses a
single unimodular matrix to
describe the
combined result of a sequence...
- \mathbf {b} } have all
integer entries and A {\displaystyle A} is
totally unimodular, then
every basic feasible solution is integral. Consequently, the solution...
- 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...
- {5}}}.} The
matrix A has a
determinant of −1, and thus it is a 2 × 2
unimodular matrix. This
property can be
understood in
terms of the
continued fraction...
- {\displaystyle T^{2}=I} . Both of
these matrices are
unimodular,
arbitrary products remain unimodular. Then,
given x {\displaystyle x} as above, the corresponding...