- (reducible
quadric). Thus,
among the 17
normal forms,
there are nine true
quadrics: a cone,
three cylinders (often
called degenerate quadrics) and five...
-
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...
-
leading to the
definition of the
focal curves of
confocal quadrics. See § Confocal
quadrics below.
Considering the
pencils of
confocal ellipses and hyperbolas...
-
Quadric geometric algebra (QGA) is a
geometrical application of the G 6 , 3 {\displaystyle {\mathcal {G}}_{6,3}}
geometric algebra. This
algebra is also...
- 5-space, the
points that
represent each line in S lie on a
quadric, Q
known as the
Klein quadric. If the
underlying vector space of S is the 4-dimensional...
- }}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:...
-
divided into
minimal surfaces,
ruled surfaces, non-orientable surfaces,
quadrics,
pseudospherical surfaces,
algebraic surfaces, and
other types of surfaces...
-
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...
- generally, a
smooth quadric (degree 2)
hypersurface X of any
dimension n is rational, by
stereographic projection. (For X a
quadric over a
field k, X must...