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- From: waterman@chaos.cs.brandeis.edu (T.S. Waterman)
- Subject: Re: City Driving Observation #27
- Message-ID: <waterman.721511957@chaos.cs.brandeis.edu>
- Sender: news@news.cs.brandeis.edu (USENET News System)
- Reply-To: waterman@cs.brandeis.edu
- Organization: CAVEAT Labs, Inc.
- References: <1992Nov10.164103.8480@netcom.com> <MJD.92Nov10132907@saul.cis.upenn.edu>
- Date: Wed, 11 Nov 1992 19:59:17 GMT
- Lines: 42
-
- mjd writes:
- >richH writes
- >> "If the lights are timed for 35, they're also timed for 70."
-
- > It's hardly worth mentioning that this isn't true, and I wouldn't
- >have brought it up if I didn't have something substantive to add.
- >
- > If the lights are timed for a speed S1, then there's definitely some
- >speed S2>S1 such that the lights are also timed for S2, (left as
- >exercise for interested reader) but it needn't be an integer multiple of
- >S1.
-
- correct up to here, my dear dominus.
-
- >statement. Since the lights are timed for S2, there is a speed S3 > S2
- >such that the lights are also timed for S3.
-
- also true. But...
-
- > You can see that there are arbitrarilty fast speeds S for which the
- >lights are timed.
-
- here's where you turn it all into so much spew:
-
- > In fact, the lights turn out to be timed for *all* sufficiently
- >great speeds S that exceed some minimum magic value. You can prove this
- >rigorously, but it's quite clear: If you go fast enough, you can zoom
- >from one end of the city to the other before *any* of the lights have a
- >chance to turn red.
-
- Clear, clear. Care to explain that one? Let's see -- you can
- go from one side of town to the other folowing the wave of green lights,
- and all of a sudden they're green everywhere, by some sort of traffic light
- solipsism transform ("Well, they're always green for ME....").
-
- >Mark-Jason Dominus mjd@central.cis.upenn.edu
-
- I grant that you're in most cases perfectly accurate (within the
- bounds of the present social framework, of course).
-
- humbly,
- --ts
-