CODEWITHSUNDEEP
operator-precedencecomplex-numbersmaximadifferentiationwxmaxima
Nidish Narayanaa
Nidish Narayanaa

Reputation: 350

Using gradef with complex quantities in Maxima

I'm using gradef to declare the gradients of certain complex variables (that depend on an independent variable, say, t) in terms of other complex variables dependent on the same independent variable.

But I'm running into some issues while applying the realpart or imagpart commands. For example, I expect (%o5) and %(o4) to match in the following but it doesn't.

enter image description here

Here's the maxima code for convenience:

declare([A,B],complex)$
depends([A,B],t)$
gradef(A,t,diff(B*exp(%i*t),t));
realpart(diff(A,t));
diff(realpart(A),t);

I have a feeling that this is somehow related to operator precedence between diff and realpart but I'm unable to get the correct substitution to work. I also tried,

diff(realpart(A),t));
ev(%,nouns);

but this doesn't work either.

Upvotes: 2

Views: 39

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