- reducible, an
affine algebraic set.
Quadrics may also be
defined in
projective spaces; see § Normal form of
projective quadrics, below. In
coordinates x1, x2...
-
supercomputers in the
world were
based on
Quadrics' interconnect. They
officially closed on June 29, 2009. The
Quadrics name was
first used in 1993 for a commercialized...
- group, and so the
study of
quadrics can be
considered as a
descendant of
Euclidean geometry. Many
properties of
quadrics hold more
generally for projective...
-
space of
lines in P 3 {\displaystyle \mathbb {P} ^{3}} and
points on a
quadric in P 5 {\displaystyle \mathbb {P} ^{5}} (projective 5-space). A predecessor...
-
physicist J. C.
Maxwell (1868). Main
investigations and the
extension to
quadrics was done by the
German mathematician O.
Staude in 1882, 1886 and 1898....
- of a
quadric surface. Let P ( x , y , z ) {\displaystyle P(x,y,z)} be a
polynomial of
degree two in
three variables that
defines a real
quadric surface...
- }}x_{d}{\text{-axis}}\}}
These two
examples are
quadrics and are
projectively equivalent.
Simple examples,
which are not
quadrics can be
obtained by the
following constructions:...
-
completely characterized as the
intersection of a
number of
quadrics, the Plücker
quadrics (see below),
which are
expressed by
homogeneous quadratic relations...
- of
quadrics is
contour lines of
quadrics. In any case (parallel or
central projection), the
contour lines of
quadrics are
conic sections. See
below and...
-
manifold known as the Lie
quadric (a
quadric hypersurface in
projective space). Lie
sphere geometry is the
geometry of the Lie
quadric and the Lie transformations...
