![SOLVED: Proof that τ:∇v = ∇ · (τ · v) - v · (∇ · τ) where τ is a tensor and v is a vector. The double dot product of a SOLVED: Proof that τ:∇v = ∇ · (τ · v) - v · (∇ · τ) where τ is a tensor and v is a vector. The double dot product of a](https://cdn.numerade.com/ask_previews/2467f73a-b839-4500-9995-12a4b3b2c22f_large.jpg)
SOLVED: Proof that τ:∇v = ∇ · (τ · v) - v · (∇ · τ) where τ is a tensor and v is a vector. The double dot product of a
![tensors - Is it true that $A_{ij} B^i \mathbf{E}^j = A_{pq} B^q \mathbf{E}^p$? Can we move indexes in doing inner products? - Mathematics Stack Exchange tensors - Is it true that $A_{ij} B^i \mathbf{E}^j = A_{pq} B^q \mathbf{E}^p$? Can we move indexes in doing inner products? - Mathematics Stack Exchange](https://i.stack.imgur.com/yUHAy.jpg)
tensors - Is it true that $A_{ij} B^i \mathbf{E}^j = A_{pq} B^q \mathbf{E}^p$? Can we move indexes in doing inner products? - Mathematics Stack Exchange
![SOLVED: Dot Products of a Second Rank Tensor and a Vector: The dot product of a second rank tensor A and a vector € is defined by A · c = Cai SOLVED: Dot Products of a Second Rank Tensor and a Vector: The dot product of a second rank tensor A and a vector € is defined by A · c = Cai](https://cdn.numerade.com/ask_images/b3b6c0723fb243159fa9e472d8a0b791.jpg)
SOLVED: Dot Products of a Second Rank Tensor and a Vector: The dot product of a second rank tensor A and a vector € is defined by A · c = Cai
![metric tensor - Why is the inner product not invariant under general coordinate transformations? - Physics Stack Exchange metric tensor - Why is the inner product not invariant under general coordinate transformations? - Physics Stack Exchange](https://i.stack.imgur.com/x7q5m.png)
metric tensor - Why is the inner product not invariant under general coordinate transformations? - Physics Stack Exchange
![Tensordot — Multidimensional Dot Product — Explained | by Dennis Alexander Morozov | Analytics Vidhya | Medium Tensordot — Multidimensional Dot Product — Explained | by Dennis Alexander Morozov | Analytics Vidhya | Medium](https://miro.medium.com/v2/resize:fit:1392/1*aQMo5AKweWCPRY_Sh8-yjg.png)