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I have a list with exponential terms. This terms depend of real and imaginary parameters, for example: $ e^{\gamma_1 +\gamma_2 +iw_1+iw_2}$, $ e^{\gamma_3 +\gamma_4 +iw_5+iw_6}$, Is there a way to select the imaginary terms of this expression, in this case the w parameters?

Thanks

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  • $\begingroup$ expr /. E^z_ :> ComplexExpand[Im[z]] $\endgroup$ – Bob Hanlon Mar 25 at 3:24
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Will this do what you want?

{E^(g1+g2+I w1+I w2),E^(g3+g4+I w5+I w6)}/.E^(a_+b_+I c_+I d_):>c+d

which instantly returns

{w1+w2,w5+w6}
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  • $\begingroup$ but if I have terms of the form $e^{t (3g_1 + 4 g_2 - I (w_1 - 2w_2))}$ this instructions does not work. $\endgroup$ – Nico Mar 24 at 20:48
  • $\begingroup$ Im[{E^(g1+g2+I w1+I w2),E^(g3+g4+I w5+I w6)}/.E^(a_):>a], thanks so much $\endgroup$ – Nico Mar 24 at 21:15

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