-
intersecting the
hyperplanes, and
whose angle is
twice the
angle between the
hyperplanes. A
hyperplane H is
called a "support"
hyperplane of the polyhedron...
-
arrangement of
hyperplanes is an
arrangement of a
finite set A of
hyperplanes in a linear, affine, or
projective space S.
Questions about a
hyperplane arrangement...
-
least one of them is compact, then
there is a
hyperplane in
between them and even two
parallel hyperplanes in
between them
separated by a gap. In another...
-
third picture on the right. The
supporting hyperplanes of
convex sets are also
called tac-planes or tac-
hyperplanes. The
forward direction can be
proved as...
-
affine hyperplanes intersect at a
projective subspace of the
ideal hyperplane (the
intersection lies on the
ideal hyperplane). Thus,
parallel hyperplanes, which...
-
dimension 1 less, i.e., of
dimension n − 1 {\displaystyle n-1} is
called a
hyperplane. The
counterpart to
subspaces are
quotient vector spaces.
Given any subspace...
- of
mutually parallel planes; in
higher dimensions, they are
parallel hyperplanes. This
method of
visualizing linear functionals is
sometimes introduced...
- dual of the
hyperplane bundle or Serre's
twisting sheaf O P n ( 1 ) {\displaystyle {\mathcal {O}}_{\mathbb {P} ^{n}}(1)} . The
hyperplane bundle is the...
- In mathematics, a
hyperplane section of a
subset X of
projective space Pn is the
intersection of X with some
hyperplane H. In
other words, we look at...
- is the
intersection of all
hyperplanes that
divide X {\displaystyle X} into two
parts of
equal moment about the
hyperplane. Informally, it is the "average"...
