Octave-reduce: Difference between revisions

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**Imported revision 239288693 - Original comment: **
Wikispaces>xenwolf
**Imported revision 575157451 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-29 05:03:12 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-02-18 08:46:28 UTC</tt>.<br>
: The original revision id was <tt>239288693</tt>.<br>
: The original revision id was <tt>575157451</tt>.<br>
: The revision comment was: <tt></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>
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>
<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">**Octave-reducing** a fraction means to make it fit into the range from 1 (the [[unisone]]) to (excluding) 2 (the [[octave]]).
<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">**Octave-reducing** a fraction //r// means to make it fit into the range from 1 (the [[unisone]]) to (excluding) 2 (the [[octave]]):
A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality
 
[[math]]
&lt;span style="font-family: monospace; font-size:150%"&gt;1 &lt;= r &lt; 2&lt;/span&gt;
1 \le r &lt; 2
 
[[math]]
If //r// does not satisfy this inequality, it has to be  
* multiplied by 2 while less than 1 or
* divided by 2 while greater than or equal to 2


== Examples ==
== Examples ==
* 3/4 gets [[3_2|3/2]]
* 3/4 is less than 1, so multiply by 2 to get [[3_2|3/2]]
* 7/2 gets [[7_4|7/4]]
* 7/2 is greater than 2, so divide by 2 to get [[7_4|7/4]]
* 4/2 gets 1</pre></div>
* 4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1</pre></div>
<h4>Original HTML content:</h4>
<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;octave-reduce&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Octave-reducing&lt;/strong&gt; a fraction means to make it fit into the range from 1 (the &lt;a class="wiki_link" href="/unisone"&gt;unisone&lt;/a&gt;) to (excluding) 2 (the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt;).&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;octave-reduce&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Octave-reducing&lt;/strong&gt; a fraction &lt;em&gt;r&lt;/em&gt; means to make it fit into the range from 1 (the &lt;a class="wiki_link" href="/unisone"&gt;unisone&lt;/a&gt;) to (excluding) 2 (the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt;):&lt;br /&gt;
A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality &lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextMathRule:0:
&lt;span style="font-family: monospace; font-size:150%"&gt;1 &amp;lt;= r &amp;lt; 2&lt;/span&gt;&lt;br /&gt;
[[math]]&amp;lt;br/&amp;gt;
1 \le r &amp;lt; 2&amp;lt;br/&amp;gt;[[math]]
--&gt;&lt;script type="math/tex"&gt;1 \le r &lt; 2&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:0 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Examples"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt; Examples &lt;/h2&gt;
If &lt;em&gt;r&lt;/em&gt; does not satisfy this inequality, it has to be &lt;br /&gt;
&lt;ul&gt;&lt;li&gt;3/4 gets &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;/li&gt;&lt;li&gt;7/2 gets &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;&lt;/li&gt;&lt;li&gt;4/2 gets 1&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;multiplied by 2 while less than 1 or&lt;/li&gt;&lt;li&gt;divided by 2 while greater than or equal to 2&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Examples"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; Examples &lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;3/4 is less than 1, so multiply by 2 to get &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;/li&gt;&lt;li&gt;7/2 is greater than 2, so divide by 2 to get &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;&lt;/li&gt;&lt;li&gt;4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 08:46, 18 February 2016

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author xenwolf and made on 2016-02-18 08:46:28 UTC.
The original revision id was 575157451.
The revision comment was:

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

Original Wikitext content:

**Octave-reducing** a fraction //r// means to make it fit into the range from 1 (the [[unisone]]) to (excluding) 2 (the [[octave]]):

<span style="font-family: monospace; font-size:150%">1 <= r < 2</span>

If //r// does not satisfy this inequality, it has to be 
* multiplied by 2 while less than 1 or
* divided by 2 while greater than or equal to 2

== Examples ==
* 3/4 is less than 1, so multiply by 2 to get [[3_2|3/2]]
* 7/2 is greater than 2, so divide by 2 to get [[7_4|7/4]]
* 4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1

Original HTML content:

<html><head><title>octave-reduce</title></head><body><strong>Octave-reducing</strong> a fraction <em>r</em> means to make it fit into the range from 1 (the <a class="wiki_link" href="/unisone">unisone</a>) to (excluding) 2 (the <a class="wiki_link" href="/octave">octave</a>):<br />
<br />
<span style="font-family: monospace; font-size:150%">1 &lt;= r &lt; 2</span><br />
<br />
If <em>r</em> does not satisfy this inequality, it has to be <br />
<ul><li>multiplied by 2 while less than 1 or</li><li>divided by 2 while greater than or equal to 2</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 --> Examples </h2>
<ul><li>3/4 is less than 1, so multiply by 2 to get <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 is greater than 2, so divide by 2 to get <a class="wiki_link" href="/7_4">7/4</a></li><li>4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1</li></ul></body></html>