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"Sal M. O'Nella" wrote in message
... I think we wound up this way because some people tend to think more "comfortably" when they treat RF as a rotating vector, instead of a recurring sine curve. I'm not one of them and omega-t has always been a pain. It's another example of a little advancement in mathematics making your whole life easier because if you use the complex representation of cos(wt) as .. ( e^(jwt) + e^(-jwt) ) / 2 .... then it is much much easier to differentiate and integrate exponentials than it is trig functions. In the complex expressions above, you do, indeed, have two counter-rotating vectors, but the simple addition of the two leaves you with a real graphical quantity only, the cosine that you love. |
#2
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![]() "gareth G4SDW GQRP #3339" wrote in message ... "Sal M. O'Nella" wrote in message ... I think we wound up this way because some people tend to think more "comfortably" when they treat RF as a rotating vector, instead of a recurring sine curve. I'm not one of them and omega-t has always been a pain. It's another example of a little advancement in mathematics making your whole life easier because if you use the complex representation of cos(wt) as .. ( e^(jwt) + e^(-jwt) ) / 2 .... then it is much much easier to differentiate and integrate exponentials than it is trig functions. In the complex expressions above, you do, indeed, have two counter-rotating vectors, but the simple addition of the two leaves you with a real graphical quantity only, the cosine that you love. ================================================== ========== Sure enough but I dislike the whole process of RF analysis. It stems entirely from the fact that I'm no good at it. I struggle, I get it wrong and I wish I had never started. Aversion is a good teacher. Thus, I have learned, as I age, not to start things I know I will not like. Add "baking" to that list, if you would be so kind. :-) "Sal" |
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