return the Real part of a complex-valued expression
return the Imaginary part of a complex-valued expression
The Re(x) calling sequence attempts to return the real part of x.
If x is a real extended numeric, then x is returned. If x is a complex extended numeric, then the real part of x is returned.
The Im(x) function attempts to return the imaginary part of x.
If x is a real extended numeric, then 0 is returned. If x is a complex extended numeric, then the imaginary part of x is returned.
You can enter the commands Re and Im using their 1-D or 2-D calling sequences. For example, Re(3+4*I) is equivalent to ℜ⁡3+4⁢I.
If x includes a function f, then Re(x) and Im(x) attempt to execute the procedures `Re/f` and `Im/f` to determine the real and imaginary parts of the corresponding part of x.
By this method, the functionality of these commands can be extended. For example, Re(sin(3+4*I)*ln(3+4*I)) executes the procedures `Re/sin`, `Im/sin`, `Re/ln`, and `Im/ln`.
To specify that unknown variables should be assumed to represent real values, use the assume or the evalc command.
The Re and Im commands are thread-safe as of Maple 15.
For more information on thread safety, see index/threadsafe.
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