| 1. | Antisymmetric tensors of rank 2 play important roles in relativity theory.
|
| 2. | A related concept is that of the antisymmetric tensor or alternating form.
|
| 3. | Similarly one can express elementary symmetric polynomials via traces over antisymmetric tensor powers.
|
| 4. | Here juxtaposition is symmetric respectively antisymmetric multiplication in the symmetric and antisymmetric tensor algebra.
|
| 5. | Where is an arbitrary antisymmetric tensor in indices.
|
| 6. | Mathematically, a Slater determinant is an antisymmetric tensor, also known as a wedge product.
|
| 7. | So the pseudovector "'a "'can be written as an antisymmetric tensor.
|
| 8. | The number of independent components of an antisymmetric tensor is given by entries of Pascal's triangle.
|
| 9. | The relation between the two antisymmetric tensors is given by the moment of inertia which must now be a fourth order tensor:
|
| 10. | The derivative of the relativistic angular momentum with respect to proper time is the relativistic torque, also second order antisymmetric tensor.
|
मोबाइल