From: gottlieb@nyu.edu
To: gentoo-user@lists.gentoo.org
Subject: Re: [gentoo-user] Portage 2.2
Date: Wed, 24 Jul 2013 16:15:18 -0400 [thread overview]
Message-ID: <87siz3r9yh.fsf@nyu.edu> (raw)
In-Reply-To: <20130724200621.GA3609@Gee-Mi-Ni.home> (Willie WY Wong's message of "Wed, 24 Jul 2013 22:06:21 +0200")
On Wed, Jul 24 2013, Willie WY Wong wrote:
> Speaking as a mathematician (and A. Gottlieb will agree with me), I
> would be rather annoyed that they chose (if this is not a misquote
> from the original proposed documentation) to use '/' for set
> difference instead of '\' as it is supposed to be.
I was also surprised to see `/'. A part of me was going to send about
quotient groups (the normal usage of '/') but I managed to refrain
myself. However, now that willie has opened the door ...
/ is normally used for quotients. For example, if we take the group Z
of integers under addition and the subgroup 2Z of the even integers,
then Z / 2Z is the quotient that results from taking Z and identifying
all the elements of 2Z. So in Z / 2Z, all the even integers are zero
and hence all odd integers are equivalent (since they differ by even
integers, which are zero). Thus the quotient has only 2 elements and is
the familiar group Z2, the integers mod 2.
The above can be generalized.
allan
next prev parent reply other threads:[~2013-07-24 20:15 UTC|newest]
Thread overview: 16+ messages / expand[flat|nested] mbox.gz Atom feed top
2013-07-24 10:00 [gentoo-user] Portage 2.2 Pavel Volkov
2013-07-24 10:05 ` Alan McKinnon
2013-07-24 10:13 ` Yohan Pereira
2013-07-24 10:52 ` Pavel Volkov
2013-07-24 10:53 ` Alan McKinnon
2013-07-24 10:17 ` Neil Bothwick
2013-07-24 10:46 ` Alan McKinnon
2013-07-24 13:20 ` Neil Bothwick
2013-07-24 13:27 ` Alan McKinnon
2013-07-24 15:26 ` Michael Orlitzky
2013-07-24 20:06 ` Willie WY Wong
2013-07-24 20:15 ` gottlieb [this message]
2013-07-24 21:13 ` Alan McKinnon
2013-07-24 21:21 ` gottlieb
2013-07-24 21:24 ` Alan McKinnon
2013-07-24 12:06 ` [gentoo-user] " Nikos Chantziaras
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