zero tensor
The term "zero tensor" is used in various fields of mathematics and physics to describe a tensor with all components equal to zero, serving as an additive identity.
🇺🇸 US Voice:
🇬🇧 UK Voice:
Definition
C1Linear Algebra
(technical, academic)A tensor whose components are all zero, regardless of the coordinate system.
Example
- In any coordinate system, a zero tensor has all entries equal to zero.
C2Multilinear Algebra
(technical, academic)A tensor that, when added to any tensor of the same type, leaves the other tensor unchanged.
Example
- Adding a zero tensor to another tensor does not alter the second tensor.
C2Differential Geometry
(technical, academic)A tensor field that assigns the zero vector to each point in a manifold.
Example
- In the context of a manifold, a zero tensor field assigns the zero vector to every point.
Similar
Terms that have similar or relatively close meanings to "zero tensor":