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	<title>Saving the Band &#187; math</title>
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	<link>http://george.savetheband.net</link>
	<description>The sporadic online life of an information superhighwayman</description>
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		<title>The Boolean Algebra of Blood Donation</title>
		<link>http://george.savetheband.net/2010/09/01/the-boolean-algebra-of-blood-donation/</link>
		<comments>http://george.savetheband.net/2010/09/01/the-boolean-algebra-of-blood-donation/#comments</comments>
		<pubDate>Wed, 01 Sep 2010 19:17:05 +0000</pubDate>
		<dc:creator>duplico</dc:creator>
				<category><![CDATA[math]]></category>
		<category><![CDATA[blood]]></category>
		<category><![CDATA[blood types]]></category>
		<category><![CDATA[logic]]></category>

		<guid isPermaLink="false">http://george.savetheband.net/?p=322</guid>
		<description><![CDATA[The blood types we usually talk about are determined by the presence or absence of three antigens (A, B, and Rh-D). Here&#8217;s a table, where presence of an antigen is denoted by a 1 (true) and absence, by a 0 (false). A B Rh-D Type 0 0 0 O- 0 0 1 O+ 0 1 [...]]]></description>
			<content:encoded><![CDATA[<p>The blood types we usually talk about are determined by the presence or absence of three antigens (A, B, and Rh-D). Here&#8217;s a table, where presence of an antigen is denoted by a 1 (true) and absence, by a 0 (false).</p>
<table border="1">
<tbody>
<tr>
<td>A</td>
<td>B</td>
<td>Rh-D</td>
<td>Type</td>
</tr>
<tr>
<td>0</td>
<td>0</td>
<td>0</td>
<td>O-</td>
</tr>
<tr>
<td>0</td>
<td>0</td>
<td>1</td>
<td>O+</td>
</tr>
<tr>
<td>0</td>
<td>1</td>
<td>0</td>
<td>B-</td>
</tr>
<tr>
<td>0</td>
<td>1</td>
<td>1</td>
<td>B+</td>
</tr>
<tr>
<td>1</td>
<td>0</td>
<td>0</td>
<td>A-</td>
</tr>
<tr>
<td>1</td>
<td>0</td>
<td>1</td>
<td>A+</td>
</tr>
<tr>
<td>1</td>
<td>1</td>
<td>0</td>
<td>AB-</td>
</tr>
<tr>
<td>1</td>
<td>1</td>
<td>1</td>
<td>AB+</td>
</tr>
</tbody>
</table>
<p>You will reject a blood donation if it contains an antigen that your own blood does not. This is why O- is the &#8220;universal donor&#8221; (none of those antigens to reject) and AB+ is the &#8220;universal recipient&#8221; (you have them all naturally, so nothing is rejected). Let&#8217;s make a truth table for this, just for the A antigen:</p>
<table border="1">
<tbody>
<tr>
<td>Donor A</td>
<td>Recipient A</td>
<td>Can accept</td>
</tr>
<tr>
<td>0</td>
<td>0</td>
<td>1</td>
</tr>
<tr>
<td>0</td>
<td>1</td>
<td>1</td>
</tr>
<tr>
<td>1</td>
<td>0</td>
<td>0</td>
</tr>
<tr>
<td>1</td>
<td>1</td>
<td>1</td>
</tr>
</tbody>
</table>
<p>Does that look familiar? It should; it&#8217;s the logical implication operation. So a person can receive another&#8217;s blood if the donor&#8217;s blood type bitwise implies the recipient&#8217;s blood type. Neat.</p>
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		<item>
		<title>Life skills (part 2)</title>
		<link>http://george.savetheband.net/2009/01/25/life-skills-part-2/</link>
		<comments>http://george.savetheband.net/2009/01/25/life-skills-part-2/#comments</comments>
		<pubDate>Mon, 26 Jan 2009 01:44:57 +0000</pubDate>
		<dc:creator>duplico</dc:creator>
				<category><![CDATA[life skills]]></category>
		<category><![CDATA[booze]]></category>
		<category><![CDATA[charts]]></category>
		<category><![CDATA[commuting]]></category>
		<category><![CDATA[cycling]]></category>
		<category><![CDATA[finance]]></category>
		<category><![CDATA[linux]]></category>
		<category><![CDATA[magic]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[money]]></category>
		<category><![CDATA[presentations]]></category>
		<category><![CDATA[sales]]></category>
		<category><![CDATA[software]]></category>

		<guid isPermaLink="false">http://george.savetheband.net/?p=19</guid>
		<description><![CDATA[http://finance.yahoo.com/family-home/article/103216/the-cheapest-days-to-buy-certain-items &#8211; The cheapest days of the week to buy particular items. Books, clothes, and airplane tickets are my favorites. http://firedoglake.com/2008/05/24/come-saturday-morning-bike-commuting-for-newbies/ &#8211; Bike commuting for newbies. In spite of some interestingly wrong predictions about gas prices at the beginning, it&#8217;s full of good information. http://www.flickr.com/photos/amit-agarwal/3196386402/sizes/l/ &#8211; Chart types for different tasks. A great way to [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://finance.yahoo.com/family-home/article/103216/the-cheapest-days-to-buy-certain-items">http://finance.yahoo.com/family-home/article/103216/the-cheapest-days-to-buy-certain-items</a> &#8211; The cheapest days of the week to buy particular items. Books, clothes, and airplane tickets are my favorites.</p>
<p><a href="http://firedoglake.com/2008/05/24/come-saturday-morning-bike-commuting-for-newbies/">http://firedoglake.com/2008/05/24/come-saturday-morning-bike-commuting-for-newbies/</a> &#8211; Bike commuting for newbies. In spite of some interestingly wrong predictions about gas prices at the beginning, it&#8217;s full of good information.</p>
<p><a href="http://www.flickr.com/photos/amit-agarwal/3196386402/sizes/l/">http://www.flickr.com/photos/amit-agarwal/3196386402/sizes/l/</a> &#8211; Chart types for different tasks. A great way to pick the most appropriate type of chart for showing the right kind of data.</p>
<p><a href="http://www.sloshspot.com/blog/06-24-2008/Ten-Cool-and-Free-Magic-Bar-Tricks-23">http://www.sloshspot.com/blog/06-24-2008/Ten-Cool-and-Free-Magic-Bar-Tricks-23</a> &#8211; Ten bar tricks. It&#8217;s maaagic!</p>
<p>Now a pair of nerdy ones:</p>
<p><a href="http://www.cs.trinity.edu/About/The_Courses/cs301/math-for-the-layman/">http://www.cs.trinity.edu/About/The_Courses/cs301/math-for-the-layman/</a> &#8211; Math for the layman. Written by the eminent Kenneth Iverson of IBM and APL fame, this is a ground-up course in theoretical mathematics from the basics of numbers to differential and integral calculus.</p>
<p><a href="http://www.linuxalt.com/">http://www.linuxalt.com/</a> &#8211; The Linux Alternative Project. This site basically provides a table where one looks up a piece of Windows software whose functionality one wants to replace in a GNU/Linux environment.</p>
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