- mathematics,
unimodular may
refer to any of the following:
Unimodular lattice Unimodular matrix Unimodular polynomial matrix Unimodular form
Unimodular group...
-
Mathematical Programming Glossary by
Harvey J.
Greenberg Unimodular Matrix from
MathWorld Software for
testing total unimodularity by M.
Walter and K. Truemper...
- 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...
- \mathbf {b} } have all
integer entries and A {\displaystyle A} is
totally unimodular, then
every basic feasible solution is integral. Consequently, the solution...
- {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...
- connections.
There are 26
sporadic groups. The 26-dimensional
Lorentzian unimodular lattice II25,1
plays a
significant role in
sphere ****ng
problems and...
- "Eternal
family trees and
dynamics on
unimodular random graphs", in Sobieczky,
Florian (ed.),
Unimodularity in
Randomly Generated Graphs: AMS Special...
-
tesseract the dual
polytope to the 16-cell). On the
other hand, the
positive unimodular lattice I I 25 , 1 {\displaystyle \mathrm {II_{25,1}} } in twenty-six...
- 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...
