-
parallelotope, or
simply n-
parallelotope (or n-parallelepiped). Thus a
parallelogram is a 2-
parallelotope and a
parallelepiped is a 3-
parallelotope....
- In geometry, a
parallelotope may
refer to: A
generalization of a
parallelepiped and
parallelogram A
generalization of a
parallelohedron and parallelogon...
- k-form is
thought of as
measuring the flux
through an
infinitesimal k-
parallelotope at each
point of the manifold, then its
exterior derivative can be thought...
- length, it is a hypercube. A
hyperrectangle is a
special case of a
parallelotope. A four-dimensional
orthotope is
likely a hypercuboid. The
special case...
-
volume of the
parallelotope formed by the vectors. In particular, the
vectors are
linearly independent if and only if the
parallelotope has
nonzero n-dimensional...
-
magnitude of a k {\displaystyle k} -blade is the (hyper)volume of the
parallelotope defined by the
constituent vectors. The
alternating property that v...
- the n {\displaystyle n} -
parallelotope. An n {\displaystyle n} -vector does not
necessarily have a
shape of a
parallelotope – this is a
convenient visualization...
-
formula for the
volume of an n-
parallelotope. This can be
understood as follows: ****ume that P is an n-
parallelotope constructed on a
basis ( v 0 , e...
-
Given a
topological space and a
group acting on it, the
images of a
single point under the
group action form an
orbit of the action. A
fundamental domain...
- by the v i , {\displaystyle v_{i},}
magnitude is the
volume of the
parallelotope defined by the v i , {\displaystyle v_{i},}
which can be
computed as...
