Speaking of math - how does Mach .82 become something under 300 knots IAS when literature I can find suggests Mach 1 is over 580 knots? (585 knots at FL290 is the number from Wikipedia with an increase with altitude indicated by the three data points given.) I guess no effort is made to translate pitot tube indicated speed into a true speed through the air? Will this have to happen when laser speed measurement becomes practical?
You can play with this (scroll down - there's a nice Mach/CAS/TAS calculator):
Aviation Calculator
0.82M = 279knots CAS @ FL350