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How does one define a generic real valued function in Mathematica?

Posted 12 years ago

How does one define a generic real valued function in Mathematica? In particular, I would like to utilize Mathematica to perform algebraic reductions that involve combinations of zj(q) = xj(q) + i yj(q) and D[zj(q),{q,n}] where xj(q), yj(q) and q are all generic real valued functions, and where j and n are integers; i is used here to represent the square root of -1. For example, by default Mathematica assumes these are complex valued functions, which, in turn, significantly effects the output of Simplify[] and and FullSimplify[]. Thanks in advance!

POSTED BY: Jonathan Mace
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POSTED BY: Nasser M. Abbasi
Posted 12 years ago

It could well be that I don't know how to utilize Assumptions properly. For clarification - by generic I mean the functions zj(q) = xj(q) + i yj(q) are not defined algebraically, but they are specified as being real valued (which I'm sure you understood). I guess I need an example of how to do this.

POSTED BY: Jonathan Mace
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