Fractional power of units of measures in F#

Question

Is it true to say that : there are no fractional power units in F#

Answer 1

Units with fractional exponents are quite common and there is nothing special about them. Probably everyone in technology has come across a voltage noise density, which is measured per sqrt(Hz). This makes a lot of sense physically, the noise power is proportional to the bandwidth, and the noise voltage is the sqrt of the power, no strange mathematics here.

To create a new base unit every time one comes across a fractional power exponent is not the right approach.

These units are not SI units and their use breaks library compatibility. If you define the sqrtHz as a new unit and I define the rootHz, our code can't work together. Anyway, I would need to introduce quite a big set of base units to have a complete set Hz^-2, Hz^3, Hz^-5,... Just to offer rational exponents seems to be the better choice, btw. Boost.units does so.