11. One motive for the study was to establish an objective global standard basis for natural capital accounting. 12. The action of the standard basis of the complexification Lie algebra on this basis can be computed: 13. Expansion of the vector bivector product in terms of the standard basis vectors has the following form 14. Use the standard basis which is written as e _ 1, e _ 2, e _ 3 usually. 15. These three Givens rotations transform the standard basis of the space to any other frame in the space. 16. Following are two common choices for the metric tensor in the standard basis ( essentially Cartesian coordinates ). 17. The matrix corresponding to this bilinear form ( see below ) on a standard basis is the identity matrix. 18. As an example in dimension 2, a pair of vectors obtained by rotating the standard basis counterclockwise for 45? 19. In P 2, where P 2 is the set of all polynomials of degree at most 2, is the standard basis . 20. Its standard basis , consisting of the sequences having only one non-zero element, which is equal to 1, is a countable Hamel basis.
