Re: Scare of the day...

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Or for a real laugh riot:

Yup them guns sure are funny.

...and Vermont is the weeniest of states. Actually, Alaska has a better deal than Vermont. Alaska will issue a permit on request (needed for reciprocity).

If guns weren't available, I'd predict the father would have still killed the two children by slitting their throats and then not killed himself.

Of those two options, what actually happened is prefereable.

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You predict that and others predict differently.

Close. Good start. Approximating the gains and delays in the "system" (which is open, not closed), overshoot and "ringing" are expected. So is further disturbances.

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Yes, we can expect the output shape to be that of the classic "phase shifter" circuit with a step in put.

---/\\/\\----- ! ! ---+------/\\/\\-+---!-\\ ! ! ! >-----+---- ----/\\/\\--+----!+/ ! =3D=3D=3D C1 ! GND

The charging of C1 represents the legal guns making their way into the hands of crooks over time.

You seem to have forgotten many other integrators and various other functions.

Simplify only enough and no more. - AE

I didn't forget them. I just didn't want to cloud the issue with a bunch of other time constants and nonlinearities.

In other words, you knew that you simplified too much.

No, I simplified by exactly the optimal amount. The circuit as shown does exactly what I wanted it to do and nothing more. It is highly tuned to serve its purpose and therefor is optimal.

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But is it a realistic simulation?

ase

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That depends a lot on the range over which we are discussing the transfer function. Obviously if the number of guns formed a layer on the whole city over 100 feet thick, the crime rate would fall again as the entire populace got crushed under the weight. Also the concept of a negative number of guns is a hard one to deal with.

Interesting. Thanks.