Definition of Parallelotope. Meaning of Parallelotope. Synonyms of Parallelotope

- 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...
- magnitude of a k {\displaystyle k} -blade is the (hyper)volume of the parallelotope defined by the constituent vectors. The alternating property that v...
- 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...
- ⁠ n {\displaystyle n} ⁠-parallelotope. An ⁠ n {\displaystyle n} ⁠-vector does not necessarily have a shape of a parallelotope – this is a convenient visualization...
- 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...
- 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...
- n-dimensional parallelotope spanned by the rows of an n × n Hadamard matrix has the maximum possible n-dimensional volume among parallelotopes spanned by...
- length, it is a hypercube. A hyperrectangle is a special case of a parallelotope. For every integer i {\displaystyle i} from 1 {\displaystyle 1} to k...