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