Superpartient ratio: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~Sarzadoce~~|~~Sarzadoce~~]] and made on <tt>2011-08-09 01:55:52 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-09 03:13:20 UTC</tt>.<br>

: The original revision id was <tt>~~244982029~~</tt>.<br>

: The original revision id was <tt>244988341</tt>.<br>

: The revision comment was: <tt></tt><br>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>

<h4>Original Wikitext content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Superpartient numbers are ratios of the form (n+m)/n, or 1+m/n, where m is not n or a whole-number multiple of n, and where n is a whole number other than 1. In ancient Greece they were called Epimeric (epimerēs) ratios, which is literally translated as "above a part." These ratios were considered to be inferior to Epimoric ratios.

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Superpartient numbers are ratios of the form (n+m)/n, or 1+m/n, where m is not n or a whole-number multiple of n, and where n is a whole number other than 1. Another way to say it is that is that they are ratios p/q, where p is greater than q and p and q are relatively prime (so that the fraction is reduced to lowest terms) and where p-q is greater than 1. In ancient Greece they were called Epimeric (epimerēs) ratios, which is literally translated as "above a part." These ratios were considered to be inferior to Epimoric ratios.

All epimeric ratios can be constructed as combinations of [[superparticular|superparticular numbers]]. For example, 9/5 is 3/2 × 6/5.</pre></div>

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Superpartient</title></head><body>Superpartient numbers are ratios of the form (n+m)/n, or 1+m/n, where m is not n or a whole-number multiple of n, and where n is a whole number other than 1. In ancient Greece they were called Epimeric (epimerēs) ratios, which is literally translated as &quot;above a part.&quot; These ratios were considered to be inferior to Epimoric ratios.<br />

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Superpartient</title></head><body>Superpartient numbers are ratios of the form (n+m)/n, or 1+m/n, where m is not n or a whole-number multiple of n, and where n is a whole number other than 1. Another way to say it is that is that they are ratios p/q, where p is greater than q and p and q are relatively prime (so that the fraction is reduced to lowest terms) and where p-q is greater than 1. In ancient Greece they were called Epimeric (epimerēs) ratios, which is literally translated as &quot;above a part.&quot; These ratios were considered to be inferior to Epimoric ratios.<br />

<br />

All epimeric ratios can be constructed as combinations of <a class="wiki_link" href="/superparticular">superparticular numbers</a>. For example, 9/5 is 3/2 × 6/5.</body></html></pre></div>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2011-08-09 01:55:52 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-09 03:13:20 UTC</tt>.<br>
-: The original revision id was <tt>244982029</tt>.<br>
+: The original revision id was <tt>244988341</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Superpartient numbers are ratios of the form (n+m)/n, or 1+m/n, where m is not n or a whole-number multiple of n, and where n is a whole number other than 1. In ancient Greece they were called Epimeric (epimerēs) ratios, which is literally translated as "above a part." These ratios were considered to be inferior to Epimoric ratios.
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Superpartient numbers are ratios of the form (n+m)/n, or 1+m/n, where m is not n or a whole-number multiple of n, and where n is a whole number other than 1. Another way to say it is that is that they are ratios p/q, where p is greater than q and p and q are relatively prime (so that the fraction is reduced to lowest terms) and where p-q is greater than 1. In ancient Greece they were called Epimeric (epimerēs) ratios, which is literally translated as "above a part." These ratios were considered to be inferior to Epimoric ratios.
 All epimeric ratios can be constructed as combinations of [[superparticular|superparticular numbers]]. For example, 9/5 is 3/2 × 6/5.</pre></div>
 <h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Superpartient&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Superpartient numbers are ratios of the form (n+m)/n, or 1+m/n, where m is not n or a whole-number multiple of n, and where n is a whole number other than 1. In ancient Greece they were called Epimeric (epimerēs) ratios, which is literally translated as &amp;quot;above a part.&amp;quot; These ratios were considered to be inferior to Epimoric ratios.&lt;br /&gt;
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Superpartient&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Superpartient numbers are ratios of the form (n+m)/n, or 1+m/n, where m is not n or a whole-number multiple of n, and where n is a whole number other than 1. Another way to say it is that is that they are ratios p/q, where p is greater than q and p and q are relatively prime (so that the fraction is reduced to lowest terms) and where p-q is greater than 1. In ancient Greece they were called Epimeric (epimerēs) ratios, which is literally translated as &amp;quot;above a part.&amp;quot; These ratios were considered to be inferior to Epimoric ratios.&lt;br /&gt;
 &lt;br /&gt;
 All epimeric ratios can be constructed as combinations of &lt;a class="wiki_link" href="/superparticular"&gt;superparticular numbers&lt;/a&gt;. For example, 9/5 is 3/2 × 6/5.&lt;/body&gt;&lt;/html&gt;</pre></div>