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Re: Quick n-th Root of BigInteger

From glen herrmannsfeldt <gah@ugcs.caltech.edu>
Newsgroups comp.lang.java.programmer
Subject Re: Quick n-th Root of BigInteger
Date 2012-06-08 22:59 +0000
Organization Aioe.org NNTP Server
Message-ID <jqu04n$2h3$1@speranza.aioe.org> (permalink)
References (1 earlier) <kao4t7t4enn17mgmvv5lectdhhvdglfrcj@4ax.com> <jqtnoq$r0p$1@news.albasani.net> <jqtosd$g5b$1@dont-email.me> <jqtr5b$2k4$1@news.albasani.net> <0966306a-0c4e-4fde-b452-32125a16bbe1@googlegroups.com>

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Lew <lewbloch@gmail.com> wrote:
> On Friday, June 8, 2012 2:34:40 PM UTC-7, Jan Burse wrote:
 
>> For those who don't know, there exists a set builder notation:
 
>>       http://en.wikipedia.org/wiki/Set-builder_notation#Z_notation
 
(snip) 
>> Forgot where this is taught, in elementary school?

> Riiiight. As nations and smaller school districts remove 
> evolution from their textbooks, they're going to teach 
> mathematical logic and set theory in elementary school?

For whatever reason, yes, I believe sets are not taught much
in school, maybe not until calculus where you need them for
continuity proofs. Maybe in geometry, but not as far as I know.

Some years ago we had "new math" which included a little set
theory and, as I remember number bases (radix) but I believe
even that is gone now.

> In any event, this being a Java forum, the notation '=<' 
> (shown nowhere in your reference link, BTW) is rather odd, 
> as we are used to '<='. Given that '=<' apparently is not 
> part of the "Set Builder" notation, how about we stick with 
> the Java (also C, Fortran, C++, C#, Javascript, BASIC, SQL, 
> Python, shell, ...) idiom?

I still feel funny using the exclusive or operator as an
exponential operator. Math.pow seems even worse, so I mostly
use the Fortran ** operator in posts, even though I don't write
so much in Fortran these days. There might be some programming
language that allows for =< though I don't remember which one.

-- glen

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Thread

Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 21:03 +0200
  Re: Quick n-th Square of BigInteger Gene Wirchenko <genew@ocis.net> - 2012-06-08 13:34 -0700
    Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 22:36 +0200
      Re: Quick n-th Root of BigInteger markspace <-@.> - 2012-06-08 13:55 -0700
        Re: Quick n-th Root of BigInteger glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2012-06-08 21:06 +0000
          Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 23:21 +0200
        Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 23:34 +0200
          Re: Quick n-th Root of BigInteger Lew <lewbloch@gmail.com> - 2012-06-08 14:43 -0700
            Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 23:47 +0200
              Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 23:47 +0200
              Re: Quick n-th Root of BigInteger Lew <lewbloch@gmail.com> - 2012-06-08 14:55 -0700
                Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 00:00 +0200
                Re: Quick n-th Root of BigInteger Lew <lewbloch@gmail.com> - 2012-06-08 15:10 -0700
                Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 00:12 +0200
                Re: Quick n-th Root of BigInteger Lew <lewbloch@gmail.com> - 2012-06-08 15:18 -0700
            Re: Quick n-th Root of BigInteger glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2012-06-08 22:59 +0000
              Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 01:05 +0200
            Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 01:00 +0200
              Re: Quick n-th Root of BigInteger Lew <lewbloch@gmail.com> - 2012-06-08 16:15 -0700
                Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 01:51 +0200
                Re: Quick n-th Root of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 02:32 +0200
  Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 23:00 +0200
  Re: Quick n-th Square of BigInteger Eric Sosman <esosman@ieee-dot-org.invalid> - 2012-06-08 17:04 -0400
    Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 23:19 +0200
      Re: Quick n-th Square of BigInteger Eric Sosman <esosman@ieee-dot-org.invalid> - 2012-06-08 17:40 -0400
        Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-08 23:43 +0200
          Re: Quick n-th Square of BigInteger Lew <lewbloch@gmail.com> - 2012-06-08 14:52 -0700
            Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 00:30 +0200
              Re: Quick n-th Square of BigInteger glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2012-06-08 23:05 +0000
    Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-11 14:53 +0200
  Re: Quick n-th Square of BigInteger Roedy Green <see_website@mindprod.com.invalid> - 2012-06-08 15:32 -0700
    Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 00:37 +0200
      Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 00:39 +0200
      Re: Quick n-th Square of BigInteger glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2012-06-08 23:34 +0000
        Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 01:44 +0200
          Re: Quick n-th Square of BigInteger glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2012-06-09 01:06 +0000
    Re: Quick n-th Square of BigInteger glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2012-06-08 23:25 +0000
      Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 01:29 +0200
        Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 01:29 +0200
    Re: Quick n-th Square of BigInteger Wanja Gayk <brixomatic@yahoo.com> - 2012-06-17 15:00 +0200
  Re: Quick n-th Square of BigInteger Leif Roar Moldskred <leifm@dimnakorr.com> - 2012-06-09 08:42 -0500
    Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 16:54 +0200
      Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 17:56 +0200
        Re: Quick n-th Square of BigInteger Leif Roar Moldskred <leifm@dimnakorr.com> - 2012-06-09 12:52 -0500
      Re: Quick n-th Square of BigInteger Joshua Cranmer <Pidgeot18@verizon.invalid> - 2012-06-09 12:55 -0400
        Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 21:23 +0200
      Re: Quick n-th Square of BigInteger Leif Roar Moldskred <leifm@dimnakorr.com> - 2012-06-09 12:44 -0500
        Re: Quick n-th Square of BigInteger markspace <-@.> - 2012-06-09 11:50 -0700
          Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 21:13 +0200
            Re: Quick n-th Square of BigInteger markspace <-@.> - 2012-06-09 12:25 -0700
              Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-09 21:29 +0200
        Re: Quick n-th Square of BigInteger Joshua Cranmer <Pidgeot18@verizon.invalid> - 2012-06-09 21:27 -0400
          Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-10 12:08 +0200
            Re: Quick n-th Square of BigInteger Joshua Cranmer <Pidgeot18@verizon.invalid> - 2012-06-10 08:23 -0400
          Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-10 13:31 +0200
            Re: Quick n-th Square of BigInteger Wanja Gayk <brixomatic@yahoo.com> - 2012-06-17 15:11 +0200
        Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-10 12:04 +0200
      Re: Quick n-th Square of BigInteger Roedy Green <see_website@mindprod.com.invalid> - 2012-06-16 17:45 -0700
        Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-17 03:17 +0200
        Re: Quick n-th Square of BigInteger Jan Burse <janburse@fastmail.fm> - 2012-06-17 03:38 +0200
  Troll Parade Closing, Award Ceremony Jan Burse <janburse@fastmail.fm> - 2012-06-10 12:31 +0200
    Re: Troll Parade Closing, Award Ceremony Jan Burse <janburse@fastmail.fm> - 2012-06-10 12:35 +0200
    Re: Troll Parade Closing, Award Ceremony Leif Roar Moldskred <leifm@dimnakorr.com> - 2012-06-10 06:28 -0500
      Re: Troll Parade Closing, Award Ceremony Jan Burse <janburse@fastmail.fm> - 2012-06-10 13:30 +0200
    Re: Troll Parade Closing, Award Ceremony Joshua Cranmer <Pidgeot18@verizon.invalid> - 2012-06-10 08:25 -0400
      Re: Troll Parade Closing, Award Ceremony Jan Burse <janburse@fastmail.fm> - 2012-06-10 14:48 +0200
    Re: Troll Parade Closing, Award Ceremony Daniel Pitts <newsgroup.nospam@virtualinfinity.net> - 2012-06-10 11:49 -0700

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