With few exceptions, the outer product of QGA GIPNS surface entities represents their surfaces intersection ( s ).
12.
The-vector component can be identified with the inner product and the-vector component with the outer product.
13.
It is of algebraic convenience that the geometric product is invertible, while the inner and outer products are not.
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A rank-1 tensor is the outer product of m vectors, where m is the number of the tensor modes.
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Given two " column vectors " and, the Euclidean inner product and outer product are the simplest special cases of the matrix product.
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A rank-one tensor may be defined as expressible as the outer product of the number of nonzero vectors needed to obtain the correct order.
17.
A blade representing of one of this class of object may be found as the outer product of linearly independent vectors representing points on the object.
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Since the outer product of these terms can be interpreted as a " k "-volume, a natural way to define a measure is
19.
The failure of QGA points to rotate correctly also leads to the inability to use outermorphisms to rotate dual Geometric Outer Product Null Space ( GOPNS ) entities.
20.
The outer product is useful in computing physical quantities ( e . g ., the covariance and auto-covariance matrices for two vector-valued random variables.
