This function group computes the characteristic Mach Number
as given in [JDAnderson1982] and [Shapiro1953] from a
given mach number
or in reverse the latter given
. The characteristic mach number has the following
properties:

And furthermore the its most useful property:

The following properties are computed:
| I | Symbol | Description |
| 1 | | Mach number |
| 2 | | Characteristic mach number |