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Re: [OT] Re: missing import java.lang.Comparable

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From Eric Sosman <esosman@comcast-dot-net.invalid>
Newsgroups comp.lang.java.programmer
Subject Re: [OT] Re: missing import java.lang.Comparable
Date Mon, 11 Jul 2016 15:09:27 -0400
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On 7/11/2016 1:59 PM, Eric Douglas wrote:
> On Monday, July 11, 2016 at 1:56:35 PM UTC-4, Eric Sosman wrote:
>> Maybe Eric Douglas will, too (although since he proffered the specious
>> claim that 1 + 1 yields 1.99999999999998, this is far from certain).
>
> I was certain it did that once with a whole number (using the double primitive) but I don't have the test program offhand, so maybe it is only with the fractional amounts.

     That's why I suspect you haven't grasped the representational
issue.  A `double' can represent, exactly, all integers in the
range -9007199254740991 through 9007199254740991 (-2**53+1 through
2**53-1).  In particular, it can represent both 1's and their sum 2
exactly.

     Outside that range, `double' starts to skip some integers: For
a while it can represent only the even numbers, then only the numbers
divisible by four, then by eight, and so on.  If you're summing
numbers with magnitudes in excess of nine quadrillion or so, expect
inaccuracies to creep in.

     In the other direction, `double' can represent numbers with
fractional parts, but only some of the infinitely many that exist.
Specifically, the exact values for `double' are fractions P/Q
where P is an integer between plus or minus nine quadrillion *and*
Q is an integer power of two (within a broad but limited range that
includes both positive and negative powers).  So,

	1.0 is exact
	0.5 is exact
	0.25 and 0.75 are exact
	0.125, 0.375, 0.625, 0.875 are exact
	... and so on (to a point)

BUT

	0.1 is inexact
	0.02 is inexact
	0.003 is inexact
	0.0004 is inexact
	... and so on

This inexactitude is exactly the same difficulty that afflicts
decimal arithmetic in computing 1/3 or 2/7 or 3/11 or any other
fraction whose denominator (in lowest terms) has a prime factor
that is not a factor of ten.

     Lest anyone imagine that computing in decimal would somehow
solve all problems, let me offer a thought experiment drawn from
real life.  Interest rates on savings are, at the moment, rather
low.  In an effort to lure, sorry, "interest" depositors, a bank
wants to trumpet the comparatively high rate of 1.1%, but they'd
like to pay out as little as possible.  "Aha!" says some bright
lad, "We'll offer an interest rate that, when compounded monthly,
produces a 1.1% *annual* yield!  Because compounding makes the number
look bigger, we can advertise 1.1% while actually paying out at a
rate that's slightly lower."  The bank's executives bless the plan,
and send the BL off to calculate the monthly rate.

     Question: What should that monthly rate be?  To put it another
way, what is the rate R such that (1+R/100)**12 = 1.011 = 1 + 1.1%?
Calculate in any integer base you prefer, but answer exactly.

     (This sort of problem also makes a good rejoinder to people who
maintain that *all* financial calculations should use integer math.)

-- 
esosman@comcast-dot-net.invalid
"Don't be afraid of work. Make work afraid of you." -- TLM

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Thread

missing import java.lang.Comparable Roedy Green <inquiry@mindprod.com> - 2016-06-28 21:34 -0700
  Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-06-29 05:56 +0000
    Re: missing import java.lang.Comparable Roedy Green <inquiry@mindprod.com> - 2016-06-28 23:59 -0700
      Re: missing import java.lang.Comparable Matthias Wiehl <mw@kwarg.de> - 2016-06-29 09:52 +0200
        Re: missing import java.lang.Comparable Roedy Green <inquiry@mindprod.com> - 2016-06-29 01:16 -0700
          Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-06-29 06:38 -0700
        Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-06-30 13:24 +0000
          Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-06-30 06:37 -0700
            Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-06-30 10:19 -0400
              Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-06-30 07:47 -0700
                Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-06-30 11:17 -0400
                Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-06-30 18:23 +0000
                Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-06-30 15:24 -0400
                Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-06-30 12:47 -0700
                Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-06-30 16:38 -0400
                Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-06-30 21:09 +0000
                Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-01 06:45 +0000
                Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-01 05:03 -0700
                Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-03 20:46 +0000
                Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-01 15:21 -0700
                Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-03 21:10 +0000
                Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-04 16:08 -0700
                Program proof Mike Amling <mamling@chaff.us> - 2016-07-05 11:23 -0500
                Re: Program proof Andreas Leitgeb <avl@logic.at> - 2016-07-05 18:08 +0000
                Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-05 17:23 +0000
                Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-05 14:28 -0700
                Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-07 15:22 +0000
                Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-07 11:44 -0400
                Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-07 12:57 -0400
                Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-07 18:29 +0000
                [OT] Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-07 15:48 -0400
                Re: [OT] Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-08 08:01 +0000
                Re: [OT] Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-08 08:25 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-08 06:55 -0700
                Re: [OT] Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-08 10:16 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-08 07:35 -0700
                Re: [OT] Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-08 18:07 +0000
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-08 12:54 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-08 16:29 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-08 14:06 -0700
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-08 20:11 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-15 11:37 -0700
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-15 16:36 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-15 15:49 -0700
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-15 22:09 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-16 13:04 +0000
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-18 13:08 -0700
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-18 19:56 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-08 20:59 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-09 11:57 +0000
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-09 09:39 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-09 14:43 +0000
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-09 11:15 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-09 09:46 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-09 15:21 +0000
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-09 11:27 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-15 11:39 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-15 15:38 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-15 15:52 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-15 19:19 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-18 13:10 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-18 16:26 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-18 13:58 -0700
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-18 16:30 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-18 20:24 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-19 05:14 -0700
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-19 20:22 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-19 10:31 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-19 16:37 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-19 14:44 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-19 21:16 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-19 21:54 +0000
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-19 20:17 -0400
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-20 12:01 -0700
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-20 21:28 +0000
                Re: [OT] Re: missing import java.lang.Comparable Gene Wirchenko <genew@telus.net> - 2016-07-20 16:14 -0700
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-19 20:18 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-19 21:33 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-19 21:56 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-19 23:47 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-22 23:31 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-23 10:24 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-23 21:26 -0400
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-23 19:23 -0700
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-23 23:08 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-24 10:44 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-24 10:44 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-20 16:04 -0400
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-20 14:51 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-20 22:57 -0400
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-21 11:38 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-21 15:57 -0400
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-21 13:45 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-21 21:00 -0400
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-22 15:28 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-22 19:34 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-22 23:36 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-23 10:25 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-23 10:58 +0000
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-23 09:32 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-22 23:34 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-23 10:25 -0400
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-23 17:04 -0700
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-24 10:46 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-23 21:23 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-24 10:47 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-22 23:40 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-18 20:02 -0400
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-18 20:26 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-18 20:35 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-18 19:59 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-08 23:36 +0000
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-08 20:09 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-09 12:51 +0000
                Re: [OT] Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-09 09:15 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-09 14:30 +0000
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-09 09:44 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-09 14:37 +0000
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-09 11:14 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-09 20:09 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-10 01:11 +0000
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-09 21:52 -0400
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-10 10:34 +0000
                Re: [OT] Re: missing import java.lang.Comparable Jerry Stuckle <jstucklex@attglobal.net> - 2016-07-08 21:03 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-08 20:32 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-11 05:30 -0700
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-11 16:26 +0000
                Re: [OT] Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-11 13:56 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-11 10:59 -0700
                Re: [OT] Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-11 15:09 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-11 13:44 -0700
                Re: [OT] Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-11 17:21 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-11 10:56 -0700
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-11 11:49 -0700
                Re: [OT] Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-07-11 21:00 +0000
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-11 22:30 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-11 22:36 -0400
                Re: [OT] Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-07-12 11:37 -0700
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-12 13:01 -0700
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-12 20:31 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-11 22:13 -0400
                Re: [OT] Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-08 20:18 -0400
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-08 15:14 -0700
                Re: [OT] Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-08 17:59 +0000
                Re: [OT] Re: missing import java.lang.Comparable Eric Sosman <esosman@comcast-dot-net.invalid> - 2016-07-08 14:34 -0400
                Re: [OT] Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-08 15:18 -0700
                Re: [OT] Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-08 23:50 +0000
                Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-07 13:18 -0700
                Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-07 16:59 -0400
                Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-07-08 15:05 -0700
                Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-08 19:51 -0400
                Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-07 17:07 -0400
                Re: missing import java.lang.Comparable Martin Gregorie <martin@address-in-sig.invalid> - 2016-06-30 20:44 +0000
              Re: missing import java.lang.Comparable Arne Vajhøj <arne@vajhoej.dk> - 2016-07-07 16:56 -0400
            Re: missing import java.lang.Comparable a.laforgia@gmail.com - 2016-06-30 08:32 -0700
              Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-06-30 08:59 -0700
                Re: missing import java.lang.Comparable a.laforgia@gmail.com - 2016-06-30 09:06 -0700
                Re: missing import java.lang.Comparable Eric Douglas <e.d.programmer@gmail.com> - 2016-06-30 09:35 -0700
              Re: missing import java.lang.Comparable Lew <lewbloch@gmail.com> - 2016-06-30 11:18 -0700
            Re: missing import java.lang.Comparable Andreas Leitgeb <avl@logic.at> - 2016-07-03 20:57 +0000

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