| Home |
|
| Contents |
|
|
| Physics |
| Maths |
| Programming |
| Other Stuff |
| About the Author |
|
You are in PHYMAT.PRO - Maths - Tensor Calculus
|
|
Operations Sumation:  The tensor order doesn't change External product:  The new tensor is p+q+r+s order, (p+r)-contravariant and (q+s)-covariant. The external product is commutative: [ST]=[TS] Internal product: In order to form the internal product, select one contravariant index and one covariant index and sum over that repeated index (u):  The new tensor is p+q+r+s-2 order, (p+r)-contravariant and (q+s)-covariant. Contraction: To contract two indexes, select from the same tensor one contravariant index and one covariant index and sum over that repeated index (u):  The new tensor is p+q-2 order, (p-1)-contravariant and (q-1)-covariant. Top Contents |