Paul Colby's latest activity
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Paul Colby replied to the thread Undergrad Mass-and-spring model of parametric amplification.The notion that just a nonlinear component, like a non-linear spring, leads to parametric amplification left me wondering. This wiki... -
Paul Colby reacted to tech99's post in the thread Undergrad Mass-and-spring model of parametric amplification with
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If the signal and pump are both applied to the mass, then the deflections will add. But to produce parametric action the spring... -
Paul Colby replied to the thread Undergrad Mass-and-spring model of parametric amplification.For parametric amplification, doesn’t one need to change a parameter? In your case it would be changing the spring constant with time...
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Paul Colby replied to the thread Graduate Zeros of functions analytic in 2 variables.Cool. For an analytic function, ##f##, in two complex variables one may solve ##f(z_1,z_2)=0## for ##z_2## as a function of ##z_1##...
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Paul Colby reacted to mathwonk's post in the thread Graduate Zeros of functions analytic in 2 variables with Like.
I don't know if the argument for my statement is of interest, but it is nice and fairly short; namely, Riemann showed for analytic...