- In geometry, a
hyperplane is a
generalization of a two-dimensional
plane in three-dimensional
space to
mathematical spaces of
arbitrary dimension. Like...
- geometry, a
supporting hyperplane of a set S {\displaystyle S} in
Euclidean space R n {\displaystyle \mathbb {R} ^{n}} is a
hyperplane that has both of the...
- In geometry, the
hyperplane separation theorem is a
theorem about disjoint convex sets in n-dimensional
Euclidean space.
There are
several rather similar...
-
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...
- In geometry, any
hyperplane H of a
projective space P may be
taken as a
hyperplane at infinity. Then the set
complement P ∖ H is
called an
affine space...
- 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...
-
hyperplane. This is
called a
linear classifier.
There are many
hyperplanes that
might classify the data. One
reasonable choice as the best
hyperplane...
-
specifically in
algebraic geometry and
algebraic topology, the
Lefschetz hyperplane theorem is a
precise statement of
certain relations between the shape...
- two
parts into
which a
hyperplane divides an n-dimensional space. That is, the
points that are not
incident to the
hyperplane are
partitioned into two...
