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	<title>Comments on: Lowest Common Denominator</title>
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	<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/</link>
	<description>All the etcetera that&#039;s fit to read.</description>
	<lastBuildDate>Tue, 31 Jan 2012 13:31:01 +0000</lastBuildDate>
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	<item>
		<title>By: vlorbik</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-33090</link>
		<dc:creator>vlorbik</dc:creator>
		<pubDate>Wed, 01 Aug 2007 13:33:44 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-33090</guid>
		<description>&lt;p&gt;i promise i&#039;ll quit right after this.
however:  you&#039;ve missed my point completely.
forget the analogy: i&#039;m talking about
&quot;least common denominator&quot; as it&#039;s actually
used in mathematical discourse.&lt;/p&gt;

&lt;p&gt;it refers, whether you like it or not,
to the least common &lt;i&gt;multiple&lt;/i&gt;,
not divisor, of the denominators in question.&lt;/p&gt;

&lt;p&gt;the fact that you&#039;ve somehow become confused
about this point illustrates &lt;i&gt;my&lt;/i&gt; point:
&quot;LCD&quot; clashes with the much more useful
&quot;LCM&quot; and &quot;GCD&quot;; we who toil in the field
have reason to wish it would go away.&lt;/p&gt;

&lt;p&gt;as to typesetting.
the &quot;preview&quot; is a misfeature.
and not only because it shows
extra blank lines at random.
(i tried to get around this
by using BR tags ... which 
worked in the preview but not
in the actual type as it appeared
in the comment itself.)
nothing to do with choice of browser.&lt;/p&gt;

&lt;p&gt;the list of supported HTML,
on the other hand, is a good thing
(and could have saved me some trouble
if i&#039;d taken it seriously).&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>i promise i&#8217;ll quit right after this.<br />
however:  you&#8217;ve missed my point completely.<br />
forget the analogy: i&#8217;m talking about<br />
&#8220;least common denominator&#8221; as it&#8217;s actually<br />
used in mathematical discourse.</p>
<p>it refers, whether you like it or not,<br />
to the least common <i>multiple</i>,<br />
not divisor, of the denominators in question.</p>
<p>the fact that you&#8217;ve somehow become confused<br />
about this point illustrates <i>my</i> point:<br />
&#8220;LCD&#8221; clashes with the much more useful<br />
&#8220;LCM&#8221; and &#8220;GCD&#8221;; we who toil in the field<br />
have reason to wish it would go away.</p>
<p>as to typesetting.<br />
the &#8220;preview&#8221; is a misfeature.<br />
and not only because it shows<br />
extra blank lines at random.<br />
(i tried to get around this<br />
by using BR tags &#8230; which<br />
worked in the preview but not<br />
in the actual type as it appeared<br />
in the comment itself.)<br />
nothing to do with choice of browser.</p>
<p>the list of supported HTML,<br />
on the other hand, is a good thing<br />
(and could have saved me some trouble<br />
if i&#8217;d taken it seriously).</p>
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		<title>By: arensb</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-32903</link>
		<dc:creator>arensb</dc:creator>
		<pubDate>Tue, 31 Jul 2007 14:51:50 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-32903</guid>
		<description>&lt;p&gt;vlorbik:&lt;/p&gt;

&lt;blockquote&gt;ideally, one would say “least common multiple”when referring to this concept&lt;/blockquote&gt;

&lt;p&gt;I disagree: I see more of an analogy between &quot;2 goes into X&quot; and &quot;this movie will appeal to moviegoer X&quot;. But of course, it&#039;s an analogy, so I guess we can all have our own interpretations.&lt;/p&gt;

&lt;blockquote&gt;”divisor” in this context is essentiallythe opposite of “denominator”(since the denominator is chosenby considering multiples, not factors).&lt;/blockquote&gt;

&lt;p&gt;Sorry, but I don&#039;t understand what you&#039;re saying here.&lt;/p&gt;

&lt;blockquote&gt;god damn it.
this looks nothing like the “preview”.&lt;/blockquote&gt;

&lt;p&gt;Funny, it usually works for me. Maybe the preview widget doesn&#039;t like IE or something. &lt;i&gt;&lt;shrug&gt;&lt;/i&gt;&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>vlorbik:</p>
<blockquote><p>ideally, one would say “least common multiple”when referring to this concept</p></blockquote>
<p>I disagree: I see more of an analogy between &#8220;2 goes into X&#8221; and &#8220;this movie will appeal to moviegoer X&#8221;. But of course, it&#8217;s an analogy, so I guess we can all have our own interpretations.</p>
<blockquote><p>”divisor” in this context is essentiallythe opposite of “denominator”(since the denominator is chosenby considering multiples, not factors).</p></blockquote>
<p>Sorry, but I don&#8217;t understand what you&#8217;re saying here.</p>
<blockquote><p>god damn it.<br />
this looks nothing like the “preview”.</p></blockquote>
<p>Funny, it usually works for me. Maybe the preview widget doesn&#8217;t like IE or something. <i>&lt;shrug&gt;</i></p>
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		<title>By: vlorbik</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-32896</link>
		<dc:creator>vlorbik</dc:creator>
		<pubDate>Tue, 31 Jul 2007 14:12:57 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-32896</guid>
		<description>&lt;p&gt;here it is done right (maybe):&lt;/p&gt;

&lt;p&gt;&quot;lowest common denominator&quot; is indeed
an unfortunate word choice.  but not
as inconsistent as you appear to believe.
ideally, one would say &quot;least common multiple&quot;
when referring to this concept; this is
abbrivated, of course, as &quot;LCM&quot;
... &lt;i&gt;not&lt;/i&gt; by the cursed acronym &quot;LCD&quot;
&quot;least common denominator&quot;).&lt;/p&gt;

&lt;p&gt;the confusion arises because &quot;GCD&quot;
denotes &quot;greatest common &lt;i&gt;divisor&lt;/i&gt;&quot;.
&quot;divisor&quot; in this context is essentially
the &lt;i&gt;opposite&lt;/i&gt; of &quot;denominator&quot;
(since the denominator is chosen
by considering &lt;i&gt;multiples&lt;/i&gt;, not &lt;i&gt;factors&lt;/i&gt;).&lt;/p&gt;

&lt;p&gt;you&#039;re certainly right in pointing out
that the least common divisor
of two natural numbers is 1
(and that this isn&#039;t very interesting).
and the terminology &lt;i&gt;is&lt;/i&gt; somewhat flawed.
it just isn&#039;t flawed in the way you&#039;ve described ...&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>here it is done right (maybe):</p>
<p>&#8220;lowest common denominator&#8221; is indeed<br />
an unfortunate word choice.  but not<br />
as inconsistent as you appear to believe.<br />
ideally, one would say &#8220;least common multiple&#8221;<br />
when referring to this concept; this is<br />
abbrivated, of course, as &#8220;LCM&#8221;<br />
&#8230; <i>not</i> by the cursed acronym &#8220;LCD&#8221;<br />
&#8220;least common denominator&#8221;).</p>
<p>the confusion arises because &#8220;GCD&#8221;<br />
denotes &#8220;greatest common <i>divisor</i>&#8220;.<br />
&#8220;divisor&#8221; in this context is essentially<br />
the <i>opposite</i> of &#8220;denominator&#8221;<br />
(since the denominator is chosen<br />
by considering <i>multiples</i>, not <i>factors</i>).</p>
<p>you&#8217;re certainly right in pointing out<br />
that the least common divisor<br />
of two natural numbers is 1<br />
(and that this isn&#8217;t very interesting).<br />
and the terminology <i>is</i> somewhat flawed.<br />
it just isn&#8217;t flawed in the way you&#8217;ve described &#8230;</p>
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	<item>
		<title>By: vlorbik</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-32894</link>
		<dc:creator>vlorbik</dc:creator>
		<pubDate>Tue, 31 Jul 2007 14:06:37 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-32894</guid>
		<description>&lt;p&gt;&quot;my&quot; copy.  ahem.
thank you and good day.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>&#8220;my&#8221; copy.  ahem.<br />
thank you and good day.</p>
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	</item>
	<item>
		<title>By: vlorbik</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-32893</link>
		<dc:creator>vlorbik</dc:creator>
		<pubDate>Tue, 31 Jul 2007 14:05:08 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-32893</guid>
		<description>&lt;p&gt;god damn it.
this looks nothing like the &quot;preview&quot;.
wordpress has garbled by copy yet again.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>god damn it.<br />
this looks nothing like the &#8220;preview&#8221;.<br />
wordpress has garbled by copy yet again.</p>
]]></content:encoded>
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	<item>
		<title>By: vlorbik</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-32891</link>
		<dc:creator>vlorbik</dc:creator>
		<pubDate>Tue, 31 Jul 2007 14:03:33 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-32891</guid>
		<description>&lt;p&gt;&quot;lowest common denominator&quot; is indeedan unfortunate word choice.  but notas inconsistent as you appear to believe.ideally, one would say &quot;least common multiple&quot;when referring to this concept; this isabbrivated, of course, as &quot;LCM&quot; ... &lt;i&gt;not&lt;/i&gt; by the cursed acronym &quot;LCD&quot;(&quot;least common denominator&quot;).
the confusion arises because &quot;GCD&quot;denotes &quot;greatest common &lt;i&gt;divisor&lt;/i&gt;&quot;.&quot;divisor&quot; in this context is essentiallythe &lt;i&gt;opposite&lt;/i&gt; of &quot;denominator&quot;(since the denominator is chosenby considering &lt;i&gt;multiples&lt;/i&gt;, not &lt;i&gt;factors&lt;/i&gt;).
you&#039;re certainly right in pointing outthat the least common divisorof two natural numbers is 1(and that this isn&#039;t very interesting). and the terminology &lt;i&gt;is&lt;/i&gt; somewhat flawed.it just isn&#039;t flawed in the way you&#039;ve described ...&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>&#8220;lowest common denominator&#8221; is indeedan unfortunate word choice.  but notas inconsistent as you appear to believe.ideally, one would say &#8220;least common multiple&#8221;when referring to this concept; this isabbrivated, of course, as &#8220;LCM&#8221; &#8230; <i>not</i> by the cursed acronym &#8220;LCD&#8221;(&#8220;least common denominator&#8221;).<br />
the confusion arises because &#8220;GCD&#8221;denotes &#8220;greatest common <i>divisor</i>&#8220;.&#8221;divisor&#8221; in this context is essentiallythe <i>opposite</i> of &#8220;denominator&#8221;(since the denominator is chosenby considering <i>multiples</i>, not <i>factors</i>).<br />
you&#8217;re certainly right in pointing outthat the least common divisorof two natural numbers is 1(and that this isn&#8217;t very interesting). and the terminology <i>is</i> somewhat flawed.it just isn&#8217;t flawed in the way you&#8217;ve described &#8230;</p>
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	<item>
		<title>By: Troublesome Frog</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-32203</link>
		<dc:creator>Troublesome Frog</dc:creator>
		<pubDate>Sat, 28 Jul 2007 06:31:32 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-32203</guid>
		<description>&lt;p&gt;Totally off topic, but I was reading your ooblick recipe, and I thought of &lt;a href=&quot;http://www.youtube.com/watch?v=f2XQ97XHjVw&quot; rel=&quot;nofollow&quot;&gt;this video&lt;/a&gt;.  If you haven&#039;t seen it, it&#039;s worth a watch.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Totally off topic, but I was reading your ooblick recipe, and I thought of <a href="http://www.youtube.com/watch?v=f2XQ97XHjVw" rel="nofollow">this video</a>.  If you haven&#8217;t seen it, it&#8217;s worth a watch.</p>
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		<title>By: arensb</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-32099</link>
		<dc:creator>arensb</dc:creator>
		<pubDate>Fri, 27 Jul 2007 20:49:09 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-32099</guid>
		<description>&lt;p&gt;Troublesome Frog:&lt;/p&gt;

&lt;blockquote&gt;Just curious, but where did you learn that part of arithmetic?&lt;/blockquote&gt;

&lt;p&gt;In western Switzerland. I seem to remember the phrases &quot;plus grand commun dénominateur (PGCD)&quot; and &quot;plus petit commun multiple (PPCM)&quot; cropping up in elementary school.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Troublesome Frog:</p>
<blockquote><p>Just curious, but where did you learn that part of arithmetic?</p></blockquote>
<p>In western Switzerland. I seem to remember the phrases &#8220;plus grand commun dénominateur (PGCD)&#8221; and &#8220;plus petit commun multiple (PPCM)&#8221; cropping up in elementary school.</p>
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		<title>By: Troublesome Frog</title>
		<link>http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/comment-page-1/#comment-32080</link>
		<dc:creator>Troublesome Frog</dc:creator>
		<pubDate>Fri, 27 Jul 2007 18:41:25 +0000</pubDate>
		<guid isPermaLink="false">http://www.ooblick.com/weblog/2007/07/27/lowest-common-denominator/#comment-32080</guid>
		<description>&lt;p&gt;Arensb, &lt;/p&gt;

&lt;p&gt;Just curious, but where did you learn that part of arithmetic?&lt;/p&gt;

&lt;p&gt;I had similar thoughts about it being a strange turn of phrase, but I always just assumed that it was just ignorance of the mathematical meaning.  Now that you point it out, it would have been kind of a clever ironic statement.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Arensb, </p>
<p>Just curious, but where did you learn that part of arithmetic?</p>
<p>I had similar thoughts about it being a strange turn of phrase, but I always just assumed that it was just ignorance of the mathematical meaning.  Now that you point it out, it would have been kind of a clever ironic statement.</p>
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