In mathematics, the Hodge star operator or Hodge dual is a significant linear map introduced in general by W. V. D. Hodge. It is defined on the exterior algebra of a finite-dimensional oriented inner product space.
Read more about Hodge Dual: Dimensionalities and Algebra, Extensions, Formal Definition of The Hodge Star of k-vectors, Explanation, Computation of The Hodge Star, Index Notation For The Star Operator, Examples, Inner Product of k-vectors, Duality, Hodge Star On Manifolds, Derivatives in Three Dimensions
Other articles related to "hodge dual, hodge":
... on 1-forms that in components is the operator Applying the Hodge star gives The final case prefaced and followed by, takes a 1-form to a 0-form (function) written out in components it is ... in terms of the exterior derivative and the Hodge star ...
... More precisely, the Hodge dual gives the isomorphism between axial vectors and bivectors, so each axial vector is associated with a bivector and vice-versa that is where ... as when written as determinants they are calculated in the same way so are related by the Hodge dual Bivectors have a number of advantages over axial vectors ...
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