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	<title>CS2130:Section 5.2 - Revision history</title>
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		<title>Grant: work in progress</title>
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		<summary type="html">&lt;p&gt;work in progress&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Symbols ==&lt;br /&gt;
[[File:Floor-vs-ceiling.svg|thumb]]&lt;br /&gt;
&lt;br /&gt;
=== Ceiling ===&lt;br /&gt;
&amp;lt;math&amp;gt;\lceil x \rceil&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Round up&lt;br /&gt;
&lt;br /&gt;
==== Examples ====&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;\lceil 5.999 \rceil = 6 &amp;lt;/math&amp;gt;&lt;br /&gt;
# &amp;lt;math&amp;gt;\lceil 3.001 \rceil = 4&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Floor ===&lt;br /&gt;
&amp;lt;math&amp;gt;\lfloor x \rfloor&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Round down&lt;br /&gt;
&lt;br /&gt;
==== Examples ====&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;\lfloor 5.999 \rfloor = 5&amp;lt;/math&amp;gt;&lt;br /&gt;
# &amp;lt;math&amp;gt;\lfloor 3.001 \rfloor = 3&amp;lt;/math&amp;gt;&lt;br /&gt;
{{Clear}}&lt;br /&gt;
&lt;br /&gt;
=== Modulus ===&lt;br /&gt;
&amp;lt;math&amp;gt;%&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Integer remainder from division&lt;br /&gt;
&lt;br /&gt;
==== Example ====&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;7 % 3 = 1&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Min ===&lt;br /&gt;
&amp;lt;math&amp;gt;\min(x,y)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Gives the lowest number out of the two given&lt;br /&gt;
&lt;br /&gt;
==== Example ====&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;\min(1,2) = 1&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Max ===&lt;br /&gt;
&amp;lt;math&amp;gt;\max(1,2)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Gives the highest number out of the two given&lt;br /&gt;
&lt;br /&gt;
==== Example ====&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;\max(1,2) = 2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== A Hash ==&lt;br /&gt;
For the purpose of this class, a hash is effectively a modulus&lt;/div&gt;</summary>
		<author><name>Grant</name></author>
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