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The number of total and independent functions that arise at 2, 4, and 8D and the number of independent functions, a minimal subset from which the other functions can be generated by re-mapping the feature space.
| Symmetry properties reduce the number of required functions | |||
|---|---|---|---|
| Dimensionality | Total functions | Independent functions | Sum is physical? |
| 2D | 18 | 5 | Yes |
| 4D | 162 | 25 | No |
| 8D | 8 | 4 | Yes |
