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	<title>Sputsoft &#187; floor</title>
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	<description>Mathematics and Computer Programming</description>
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		<title>Useful Properties of the Floor and Ceil Functions</title>
		<link>http://sputsoft.com/blog/2009/09/useful-properties-of-the-floor-and-ceil-functions.html</link>
		<comments>http://sputsoft.com/blog/2009/09/useful-properties-of-the-floor-and-ceil-functions.html#comments</comments>
		<pubDate>Wed, 09 Sep 2009 12:36:13 +0000</pubDate>
		<dc:creator>sput</dc:creator>
				<category><![CDATA[mathematics]]></category>
		<category><![CDATA[ceil]]></category>
		<category><![CDATA[discrete/continuous]]></category>
		<category><![CDATA[floor]]></category>

		<guid isPermaLink="false">http://sputsoft.com/?p=647</guid>
		<description><![CDATA[This articles explores some basic properties of the integer functions commonly known as floor and ceil. Most of the statements may seem trivial or obvious, but I, for one, have a tendency to forget just how exact you can be when it comes to expressions/equations where floor or ceil functions appear. First, the definitions: \begin{aligned} [...]]]></description>
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