This theory is used to represent vectors of n spatial dimensions which are physical quantities with physical dimensions, such as 'the velocity of particle p'. The theory supports arbitrary numbers of basis vector sets and hence vectors are not isomorphic to n-tuples as is the case in some textbook representations of vectors (Note: Multi-basis vector spaces are essential to many theories such as kinematics). Standard vector operations such as vector addition, scalar multiplication, and scalar or dot product are supported. Operators on vector-quantities must take into account the associated units and dimensions.
The theory now also include higher-order tensors.
Matrix-Quantity Numeric-Matrix Orthonormal-Basis Tensor-Quantity Vector-Quantity Unit-Vec Dyad Numeric-Tensor
* + - Basis.Dimension Basis.Vec Dot Dyad-Component Dyad-Of-Dimensions Spatial.Dimension Tensor-Order Tensor-To-Matrix The-Dyad The-Vector-Quantity The-Zero-Dyad-Of-Type The-Zero-Vector-Of-Type Vector-Component Vector-Quantities-Of-Dimensions
The following constants were used from included theories:
All constants that were mentioned were defined.