Below I successfully employed the is command to compare Q1 & Q2.  However, attempting to compare T1 & T2 which is essentially Q1 & Q2 but defined as a functions dependent on m does not work so well.  Can I do this comparison?  If so what is the proper syntax to do this?

Download is_command.mw

In MAPLE 12 there is an option in the dropdown menu for the conversions command to convert a complex exponential expression into the cartesian form of a + bi.  However, when I review the HELP menu for the convert command I do not see this option.  Below is an example.  How do I execute the conversion via command line option as opposed to the GUI option?

convert_complex_exponential.mw

Below is a link to my worksheet that evaluates 6 expressions that are presumably equivalent.  However, there seems to be a region for 7<n<100 where the results diverge.  All other values of n yield identical results.  I am at a TOTAL loss as to what is happening.  I hope that someone here might shed some light on this quirk.

divergent_behavior.mw

CodeTools:-Usage lists information on CPU time & memory used in later versions of MAPLE.  I do not see Usage as an option for MAPLE 12.  Is there a comparable command & can you provide an example so that I have the proper syntax?

Am I applying improper syntax for the is command?  Out of the 5 attempts to equate X with the time derivative of S11 only the combine command yields the expected result.  If only combine works then why do the others not work?
 

Download syntax_for_is.mw