On 2015-04-13 20:14, Alexander Belopolsky wrote: > > On Mon, Apr 13, 2015 at 2:05 PM, Chris Barker <chris.barker at noaa.gov > <mailto:chris.barker at noaa.gov>> wrote: > > However, different UTC times may map to the same wall time and > some expressible wall times are not results of a map of any UTC > time. > > > got it. I suggest you perhaps word it something like: > > wall_time = f( location, utc_time) > > and > > utc_time = f( location, utc_time ) > > These are two different problems, and one is much harder than the > other! (though both are ugly!) > > > You probably meant "utc_time = f( location, wall_time)" in the last > equation, but that would still be wrong. > A somewhat more correct equation would be > > utc_time = f^(-1)( location, wall_time) > > where f^(-1) is the inverse function of f, but since f in not monotonic, > no such inverse exists. > Don't you mean "f⁻¹"? :-) > Finding the inverse of f is the same as solving the equation f(x) = y > for any given y. If f is such that this > equation has only one solution for all possible values of y then an > inverse exists, but this > is not so in our case. >
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