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9 votes
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How to write an easy Conjugate Function that just replaces i -> -i

Replace acts on the full form of an expression, not the displayed form. The full form of your expression: expr = I (a + 0.5123 I b - 1.2332 I c); expr // FullForm Therefore a complex number is ...
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7 votes
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How to get the graph of this function?

Under the working assumption that $\phi$ is a real variable from 0 to 2 $\pi$, one way to go about it is the following: ...
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3 votes
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How can I reduce this complex exponent expression to real expression?

Rationalize[expr, 0] // Im // ComplexExpand 0. It means that expr is real. ...
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2 votes

How to better display the data using ComplexListPlot?

Do you have any idea to display it better and easier to see the data One option is to use PlotStyle and change the point size? ...
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2 votes

How can I visualize this complex geometry with mathematica?

I do not know if I understood you right. Can modify as needed. ...
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2 votes
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How can I visualize this complex geometry with mathematica?

What you are trying to achieve seems functionally equivalent to showing graphically that $\lim_{\theta\to 0}\frac{\sin \theta}{\theta}=1$. Here is an example to achieve that: ...
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1 vote

How can I reduce this complex exponent expression to real expression?

The last two terms can be simplified to real as follows FullSimplify[-(c - d I) E^((a + b I) t) - (c + d I) E^((a - b I) t)==-2 E^(a t) (c Cos[b t] + d Sin[b t])]/. ...
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1 vote

How can I reduce this complex exponent expression to real expression?

This is a problem created by using machine numbers. These are seldom 100% accurate, they are most of the time an approximation. And if you have an expression like: x - Conjugate[x] it is possible that ...
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