Before we state the next difficulty we should give a definition; a tensor density of weight W transforms like an ordinary tensor, except that in addition the W th power of the Jacobian,
12.
The bundle of densities cannot seriously be defined'at a point'; and therefore a limitation of the contemporary mathematical treatment of tensors is that tensor densities are defined in a roundabout fashion.
13.
The Cotton tensor can be regarded as a vector valued 2-form, and for " n " = 3 one can use the Hodge star operator to convert this into a second order trace free tensor density
14.
The hyperdeterminant can be written in a more compact form using the Einstein convention for summing over indices and the Levi-Civita symbol which is an alternating tensor density with components ? ij specified by ? 00 = ? 11 = 0, ? 01 = " ? 10 = 1:
15.
A " tensor density " is the special case where " L " is the bundle of " densities on a manifold ", namely the determinant bundle of the cotangent bundle . ( To be strictly accurate, one should also apply the absolute value to the transition functions this makes little difference for an orientable manifold . ) For a more traditional explanation see the tensor density article.
16.
A " tensor density " is the special case where " L " is the bundle of " densities on a manifold ", namely the determinant bundle of the cotangent bundle . ( To be strictly accurate, one should also apply the absolute value to the transition functions this makes little difference for an orientable manifold . ) For a more traditional explanation see the tensor density article.
How to say tensor density in Hindi and what is the meaning of tensor density in Hindi? tensor density Hindi meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.