J. Andrew,

On 1/1/09, J. Andrew Rogers <[email protected]> wrote:
>
>
> On Jan 1, 2009, at 2:35 PM, J. Andrew Rogers wrote:
>
>> Since "digital" and "analog" are the same thing computationally ("digital"
>> is a subset of "analog"), and non-digital computers have been generally
>> superior for several decades, this is not relevant.
>>
>
>
> Gah, that should be *digital* computers have generally been superior for
> several decades  (the last non-digital hold-outs I am aware of were designed
> in the late 1970s).


Ignoring the issues or representation and display, I agree. However,
consider three interesting cases...

1.  I only survived my college differential equations course with the help
of a (now antique) EAI analog computer. Therein, I could simply wire it up
as the equation stated, with about as many wires as symbols in the
equations, without (much) concern for the internal workings of either the
computer or the equation, and get out a parametric plot any way I wanted.
However, with a digital computer, maybe there is suitable software by now,
but I would have to worry about how the computer did things, e.g. how fine
the time slices are, etc. Further, I couldn't just "throw the equation at
the machine" with a digital computer much as I could do with the analog
computer, though again, maybe software has caught up by now.

2.  Related to above and mentioned earlier, electrolytic fish-tank analogs
have long been used to characterize electric and magnetic fields. While
these may not be as accurate as digital simulation, they are in TRUE
walk-around 3-D representation, and changes can be made in seconds with no
need to verify that the change indeed reflects the intended change. This is
another example where, at the loss of a few "down in the noise" digits, you
can be SURE that the model indeed simulates reality. The same was long true
of wind tunnels, until things got SO valuable (and competitive) that it was
worth the millions of dollars to go after those last few digits.

3.  Conditioning high-speed phenomena. Transistors are now SO fast and have
SO much gain that they have become nearly perfect mathematical components.
Most people don't think of their TV tuners as being analog computers, but...

Steve Richfield



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