- In mathematics,
a quadric or
quadric surface (
quadric hypersurface in
higher dimensions), is
a generalization of conic sections (ellipses, parabolas, and...
-
ellipsoid is
a quadric surface; that is,
a surface that may be
defined as the zero set
of a polynomial of degree two in
three variables.
Among quadric surfaces...
-
Quadric geometric algebra (QGA) is
a geometrical application of the G 6 , 3 {\displaystyle {\mathcal {G}}_{6,3}}
geometric algebra. This
algebra is also...
-
locally prin****l; see the
examples of quadric cones above.
Effective Cartier divisors are
those which correspond to
ideal sheaves. In fact, the
theory of effective...
-
degenerate quadric surfaces. When the
prin****l axes
of a quadric are
aligned with the
reference frame (always
possible for
a quadric),
a general equation of the...
-
extension of the
concept of confocal conics to
surfaces leads to
confocal quadrics. Any
hyperbola or (non-circular)
ellipse has two foci, and any pair
of distinct...
- and Cauchy's
stress quadric. The Mohr
circle can be
applied to any
symmetric 2x2
tensor matrix,
including the
strain and
moment of inertia tensors. Internal...
- Augustin-Louis
Cauchy saw how
their work
could be used to
classify the
quadric surfaces, and
generalized it to
arbitrary dimensions.
Cauchy also coined...
-
certain quadric surfaces. The
prin****l tool in this
process is "completing the square." Use
a translation of coordinates to
identify the
quadric surface...
- transformation.
A hyperboloid is
a quadric surface, that is,
a surface defined as the zero set
of a polynomial of degree two in
three variables.
Among quadric surfaces...
