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	<title>nathenson&#039;s digital garbage &#187; Uncategorized</title>
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		<title>Happy National Pi Day!</title>
		<link>http://digitalgarbage.net/2009/03/14/happy-national-pi-day/</link>
		<comments>http://digitalgarbage.net/2009/03/14/happy-national-pi-day/#comments</comments>
		<pubDate>Sun, 15 Mar 2009 03:58:45 +0000</pubDate>
		<dc:creator>Ira Nathenson</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Pi]]></category>
		<category><![CDATA[Ramanujan]]></category>

		<guid isPermaLink="false">http://digitalgarbage.net/?p=1121</guid>
		<description><![CDATA[Today is National Pi Day, courtesy of House Resolution 224, passed earlier this week.  (Get it?  Today&#8217;s 3/14, like Pi, which is approximately 3.14.)  As the Resolution notes, Pi is central to math, science, and engineering, fields &#8220;essential for a &#8230; <a href="http://digitalgarbage.net/2009/03/14/happy-national-pi-day/">Continue reading <span class="meta-nav">&#8594;</span></a>]]></description>
			<content:encoded><![CDATA[<p>Today is National Pi Day, courtesy of <a href="http://thomas.loc.gov/cgi-bin/bdquery/z?d111:H.RES.224:">House Resolution 224</a>, passed earlier this week.  (Get it?  Today&#8217;s 3/14, like Pi, which is approximately 3.14.)  As the Resolution notes, Pi is central to math, science, and engineering, fields &#8220;essential for a knowledge-based society.&#8221;</p>
<p>As a little kid, I used to pride myself on knowing Pi to 7 or 8 digits (the limits of my hand-held calculator).  A minor accomplishment to be sure, but I&#8217;ve always loved math.  Years later, I learned about real math geniuses such as Srinivasa Ramanujan, a self-taught mathematician born in India in 1887.  One online bio of Ramanujan <a href="http://scienceworld.wolfram.com/biography/Ramanujan.html">notes</a>:</p>
<blockquote><p>During an illness in England, [Ramanujan's mentor, prominent mathematician G.H.] Hardy visited Ramanujan in the hospital. When Hardy remarked that he had taken taxi number 1729, a singularly unexceptional number, Ramanujan immediately responded that this number was actually quite remarkable: it is the smallest integer that can be represented in two ways by the sum of two cubes:   1729=1<sup>3</sup>+12<sup>3</sup>=9<sup>3</sup>+10<sup>3</sup>.</p></blockquote>
<p>Ramanujan was an intuitive math genius, and died tragically young at 32.  For a great read, check out Robert Kanigel&#8217;s book <em><a href="http://www.amazon.com/Man-Who-Knew-Infinity-Ramanujan/dp/0671750615">The Man Who Knew Infinity: A Life of the Genius Ramanujan</a>.</em>  And Ramanujan was important regarding Pi.  Though I have absolutely no understanding of the relevant math, PiDayInternational.org <a href="http://www.pidayinternational.org/Pi_History/HISTORY_OF_PI_Ramanujan.htm">says</a> Ramanujan did a lot of important work regarding Pi, discovering &#8220;new formulas for pi, remarkable for their elegance and inherent mathematical depth.&#8221;  Later, &#8220;Ramanujan&#8217;s formulas became a foundation for calculating pi on handheld and personal computers &#8211; although supercomputers now use newer methods that go beyond it.&#8221;</p>
<p>Though the rest of us lack Ramanujan&#8217;s math genius, at least we can use modern technology (benefiting from Ramanujan&#8217;s work) to look up Pi to a million places online.  See <a href="http://3.141592653589793238462643383279502884197169399375105820974944592.com">3.141592653589793238462643383279502884197169399375105820974944592.com</a>.</p>
<p>Have a Happy Pi Day.  I recommend celebrating by buying a good pie, either a <a href="http://digitalgarbage.net/2008/08/05/mineos-pizza/">Mineo&#8217;s Pizza</a> or an <a href="http://www.eatnpark.com/">Eat&#8217;n Park</a> homemade strawberry pie.  Before dining, measure the pie&#8217;s radius and use Pi to determine its <a href="http://www.mathgoodies.com/lessons/vol2/circle_area.html">area</a>.  That way, you&#8217;ll know if you have enough for everyone.</p>
<p>The text of House Resolution 224 is below the break:</p>
<p style="text-align: left;"><span id="more-1121"></span></p>
<blockquote><p>H. Res. 224</p>
<p>In the House of Representatives, U. S.,</p>
<p>March 12, 2009.</p>
<p>Whereas the Greek letter (Pi) is the symbol for the ratio of the circumference of a circle to its diameter;</p>
<p>Whereas the ratio Pi is an irrational number, which will continue infinitely without repeating, and has been calculated to over one trillion digits;</p>
<p>Whereas Pi is a recurring constant that has been studied throughout history and is central in mathematics as well as science and engineering;</p>
<p>Whereas mathematics and science are a critical part of our children&#8217;s education, and children who perform better in math and science have higher graduation and college attendance rates;</p>
<p>Whereas aptitude in mathematics, science, and engineering is essential for a knowledge-based society;</p>
<p>Whereas, according to the 2007 Trends in International Mathematics and Science Study (TIMSS) survey done by the National Center for Education Statistics, American children in the 4th and 8th grade were outperformed by students in other countries including Taiwan, Singapore, Russia, England, South Korea, Latvia, and Japan;</p>
<p>Whereas since 1995 the United States has shown only minimal improvement in math and science test scores;</p>
<p>Whereas by the 8th grade, American males outperform females on the science portion of the TIMSS survey, especially in Biology, Physics, and Earth Science, and the lowest American scores in math and science are found in minority and impoverished school districts;</p>
<p>Whereas America needs to reinforce mathematics and science education for all students in order to better prepare our children for the future and in order to compete in a 21st Century economy;</p>
<p>Whereas the National Science Foundation has been driving innovation in math and science education at all levels from elementary through graduate education since its creation 59 years ago;</p>
<p>Whereas mathematics and science can be a fun and interesting part of a child&#8217;s education, and learning about Pi can be an engaging way to teach children about geometry and attract them to study science and mathematics; and</p>
<p>Whereas Pi can be approximated as 3.14, and thus March 14, 2009, is an appropriate day for `National Pi Day&#8217;: Now, therefore, be it</p>
<p>Resolved, That the House of Representatives&#8211;</p>
<p>(1) supports the designation of a `Pi Day&#8217; and its celebration around the world;</p>
<p>(2) recognizes the continuing importance of National Science Foundation&#8217;s math and science education programs; and</p>
<p>(3) encourages schools and educators to observe the day with appropriate activities that teach students about Pi and engage them about the study of mathematics.</p></blockquote>
<p>H/T <a href="http://science.slashdot.org/article.pl?sid=09/03/14/1323245">Slashdot</a>.  More at <a href="http://news.cnet.com/8301-13578_3-10194354-38.html?tag=nl.e703">CNet</a> via link found at Slashdot.</p>
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		<title>Circuit City liquidation</title>
		<link>http://digitalgarbage.net/2009/01/19/circuit-city-liquidation/</link>
		<comments>http://digitalgarbage.net/2009/01/19/circuit-city-liquidation/#comments</comments>
		<pubDate>Mon, 19 Jan 2009 17:40:41 +0000</pubDate>
		<dc:creator>Ira Nathenson</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[Economy]]></category>

		<guid isPermaLink="false">http://digitalgarbage.net/?p=881</guid>
		<description><![CDATA[I feel so badly for the folks at Circuit City who are losing their jobs due to the liquidation.  Before law school, I managed an Electronics Boutique store.  Retail management was actually a fun job.  I enjoyed working with people &#8230; <a href="http://digitalgarbage.net/2009/01/19/circuit-city-liquidation/">Continue reading <span class="meta-nav">&#8594;</span></a>]]></description>
			<content:encoded><![CDATA[<p>I feel so badly for the folks at Circuit City who are losing their jobs due to the liquidation.  Before law school, I managed an Electronics Boutique store.  Retail management was actually a fun job.  I enjoyed working with people (another reason I love teaching) and it was great to be exposed to continually advancing technology (another reason I love IP).  But my wife wisely persuaded me that law school was a better path than retail management.  I hope things work out well for the folks at Circuit City.<strong> </strong></p>
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		<title>Mersenne primes and the bailout bill</title>
		<link>http://digitalgarbage.net/2008/09/28/mersenne-primes-bailout-bill/</link>
		<comments>http://digitalgarbage.net/2008/09/28/mersenne-primes-bailout-bill/#comments</comments>
		<pubDate>Mon, 29 Sep 2008 03:31:57 +0000</pubDate>
		<dc:creator>Ira Nathenson</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[Bailout]]></category>
		<category><![CDATA[Economics]]></category>
		<category><![CDATA[Economy]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Politics]]></category>

		<guid isPermaLink="false">http://digitalgarbage.net/?p=304</guid>
		<description><![CDATA[Here&#8217;s an interesting number: $11,315,000,000,000.  That&#8217;s the new limit on public debt proposed by today&#8217;s draft of the Emergency Economic Stabilization Act of 2008.  That&#8217;s a pretty big number, slightly over (slightly?) 11 trillion dollars. Here&#8217;s another one: 243,112,609-1.  The &#8230; <a href="http://digitalgarbage.net/2008/09/28/mersenne-primes-bailout-bill/">Continue reading <span class="meta-nav">&#8594;</span></a>]]></description>
			<content:encoded><![CDATA[<p>Here&#8217;s an interesting number: $11,315,000,000,000.  That&#8217;s the new limit on public debt proposed by today&#8217;s draft of the <a href="http://financialservices.house.gov/essa/ayo08c04_xml.pdf">Emergency Economic Stabilization Act of 2008</a>.  That&#8217;s a pretty big number, slightly over (slightly?) 11 trillion dollars.</p>
<p>Here&#8217;s another one: 2<sup>43,112,609</sup>-1.  The Guardian <a href="http://www.guardian.co.uk/science/2008/sep/29/maths">reports</a> that researchers have found the largest-yet Mersenne prime, a number with nearly 13 million digits.  Mersenne primes are prime numbers that can also be expressed as 2<sup>n</sup>-1.  Seven is a Mersenne prime because it&#8217;s 2³ &#8211; 1.  According to <a href="http://www.sciencenews.org/view/generic/id/36979/description/Largest_known_prime_number_found">Science News</a>, only 46 Mersenne primes have been found so far.</p>
<p>Well, <em>that </em>puts everything into perspective.  The public debt is only 14 digits, a paltry figure compared to the newest Mersenne prime.  Even better, the $700 billion bailout package represents a mere (mere!!) 6.59% increase over the current statutory public debt limit of <span id="mDocumentText_ctl00_mTextDisplay" class="DocumentBody">$10,615,000,000,000 under 31 U.S.C. </span><!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Normal</w:View> <w:Zoom>0</w:Zoom> <w:PunctuationKerning /> <w:ValidateAgainstSchemas /> <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid> <w:IgnoreMixedContent>false</w:IgnoreMixedContent> <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText> <w:Compatibility> <w:BreakWrappedTables /> <w:SnapToGridInCell /> <w:WrapTextWithPunct /> <w:UseAsianBreakRules /> <w:DontGrowAutofit /> </w:Compatibility> <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel> </w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:LatentStyles DefLockedState="false" LatentStyleCount="156"> </w:LatentStyles> </xml><![endif]--> § <span id="mDocumentText_ctl00_mTextDisplay" class="DocumentBody">3101(b). </span></p>
<p>Don&#8217;t you feel better now?  I know I do.</p>
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