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intersections involving hyperplanes.
Hypersurface Decision boundary Ham
sandwich theorem Arrangement of
hyperplanes Supporting hyperplane theorem "Excerpt from...
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perpendicular hyperplanes to (a0,b0){\displaystyle (a_{0},b_{0})}
satisfy the
requirement of the theorem. Algebraically, the
hyperplanes LA,LB{\displaystyle...
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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...
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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...
- 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...
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affine hyperplanes intersect at a
projective subspace of the
ideal hyperplane (the
intersection lies on the
ideal hyperplane). Thus,
parallel hyperplanes, which...
- of
mutually parallel planes; in
higher dimensions, they are
parallel hyperplanes. This
method of
visualizing linear functionals is
sometimes introduced...
- 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"...
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specifically in
algebraic geometry and
algebraic topology, the
Lefschetz hyperplane theorem is a
precise statement of
certain relations between the shape...
- the dual of the
hyperplane bundle or Serre's
twisting sheaf OPn(1){\displaystyle {\mathcal {O}}_{\mathbb {P} ^{n}}(1)}. The
hyperplane bundle is the line...