adjective
- having the property that interchanging two variables changes the sign of the function or relation
Usage: mathematics
Examples
- The cross product of two vectors is antisymmetric.
- An antisymmetric matrix has the property that A = -A^T.
- The determinant function is antisymmetric in its arguments.
- Antisymmetric relations satisfy the condition that if aRb then not bRa.
- The wedge product in differential geometry is antisymmetric.
- Many physical quantities are described by antisymmetric tensors.