68 | | One possible solution is to assume a hardline scientific position and put any and all UCUM units on a black-list that are used to merely decorate dimensionless number, indexes, or ratios. A very good argument for this position can be found in #27. |

| 68 | One possible solution is to assume a hard-line scientific position and put any and all UCUM units on a black-list that are used to merely decorate dimensionless number, indexes, or ratios. A very good argument for this position can be found in #27 (the strike-through only indicates this issue is closed, not that it is invalid). |

| 69 | |

| 70 | === A Way Forward === |

| 71 | |

| 72 | Arbitrary units [IU] and [iU] are equal, they are, in fact, the same (just literal difference). The same issue you have with the case-insensitive and case-sensitive lexical variants. So, if we use the isArbitrary property to force checking the unit, we must not fail equal because of those differences. |

| 73 | |

| 74 | Therefore, we probably need to extend our dimension and base-unit vector with additional fields, and when checking dimensionality, we need to take those into account. This makes the dimension and base-unit vector sparse at the end. There are 10^3^ arbitrary units to reckon with. |