- a
bivector, as is any sum of
bivectors. Not all
bivectors can be
expressed as an
exterior product without such summation. More precisely, a
bivector that...
- six-dimensional
bivectors in four dimensions.
These can be
written Λ 2 R 4 {\displaystyle \Lambda ^{2}\mathbb {R} ^{4}} for the set of
bivectors in Euclidean...
-
vectors are multiplied.
Bivectors are
connected to pseudovectors, and are used to
represent rotations in
geometric algebra. As
bivectors are
elements of a vector...
-
three bivectors can also have a
triple product. This
product mimic the
standard triple vector product. The
antisymmetric product of
three bivectors is....
- (sometimes
called the
field strength tensor,
Faraday tensor or
Maxwell bivector) is a
mathematical object that
describes the
electromagnetic field in spacetime...
- to lines, so are
bivectors to planes. So
every plane (in any dimension) can be ****ociated with a
bivector, and
every simple bivector is ****ociated with...
- a
unique smooth bivector field π ∈ X 2 ( M ) {\displaystyle \pi \in {\mathfrak {X}}^{2}(M)} . Conversely,
given any
smooth bivector field π {\displaystyle...
- (scalars,
bivectors, pseudoscalar) form a
Clifford Cl3,0(R) even
subalgebra equivalent to the APS or
Pauli algebra.: 12 The STA
bivectors are equivalent...
-
classification of
electromagnetic fields is a
pointwise classification of
bivectors at each
point of a
Lorentzian manifold. It is used in the
study of solutions...
- any two pseudovectors/
bivectors A {\displaystyle \mathbf {A} } and B {\displaystyle \mathbf {B} } . As the pseudovectors/
bivectors form a
vector space,...
