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	<title>Ceci n'est pas un blog</title>
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		<title>Flash on Ubuntu 11.10</title>
		<link>http://bartogian.wordpress.com/2012/01/14/flash-on-ubuntu-11-10/</link>
		<comments>http://bartogian.wordpress.com/2012/01/14/flash-on-ubuntu-11-10/#comments</comments>
		<pubDate>Sat, 14 Jan 2012 06:29:06 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://bartogian.wordpress.com/?p=173</guid>
		<description><![CDATA[Quick answer: I found the Flash-Aid Firefox addon the solution to my initial troubles to get flash working uniformly on Firefox on my Ubuntu 11.10 system. Thanks to the askubuntu stackexchange site for giving me this tip. (and while I&#8217;m at it, thanks to the superuser stackexchange site for helping me fix some problems with [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=173&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>Quick answer: I found the Flash-Aid Firefox addon the solution to my initial troubles to get flash working uniformly on Firefox on my Ubuntu 11.10 system.</p>
<p>Thanks to the askubuntu stackexchange site for giving me this tip. (and while I&#8217;m at it, thanks to the superuser stackexchange site for helping me fix some problems with my parents&#8217; machine).</p>
<p>Now to get the whole setup working with Tor. With the Masters starting this weekend, perhaps that will provide the necessary impetus.</p>
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		<title>On Kitchens and Their Stoves</title>
		<link>http://bartogian.wordpress.com/2011/04/25/on-kitchens-and-their-stoves/</link>
		<comments>http://bartogian.wordpress.com/2011/04/25/on-kitchens-and-their-stoves/#comments</comments>
		<pubDate>Mon, 25 Apr 2011 05:01:11 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[food]]></category>

		<guid isPermaLink="false">http://bartogian.wordpress.com/?p=165</guid>
		<description><![CDATA[We will see two pictures of stoves. Let us compare and contrast them. In the first picture, everything exists as it should. We see the hot plates (or gas equivalent), grill and oven all appear as independent parts, a chef&#8217;s dream. Unfortunately some modern versions have the tendancy to include the grill and the oven [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=165&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>We will see two pictures of stoves. Let us compare and contrast them.</p>
<p><a href="http://bartogian.files.wordpress.com/2011/04/stove1.jpg"><img src="http://bartogian.files.wordpress.com/2011/04/stove1.jpg?w=450" alt="" title="Stove #1"   class="aligncenter size-full wp-image-167" /></a></p>
<p>In the first picture, everything exists as it should. We see the hot plates (or gas equivalent), grill and oven all appear as independent parts, a chef&#8217;s dream.</p>
<p>Unfortunately some modern versions have the tendancy to include the grill and the oven in the same compartment, removing the rather useful option of simultaneous grilling and baking. However even that is a rather minor sin compared to what we see in the next picture.</p>
<p><a href="http://bartogian.files.wordpress.com/2011/04/stove2.jpg"><img src="http://bartogian.files.wordpress.com/2011/04/stove2.jpg?w=450" alt="" title="Stove #2"   class="aligncenter size-full wp-image-168" /></a></p>
<p>Absolute horror! No grill whatsoever! I have the grave misfortune in living in a place with such a lacking kitchen setup (and have suffered through such a lack of basic necessities for quite a while now). For most meats, pan frying is such a poor substitute, and without the grill there are some foods that can&#8217;t be cooked at all. If I have to walk past meat on a stick in the supermarket again and not be able to buy it because of a sub-par kitchen, I&#8217;ll go crazy.</p>
<p>If anyone out there in cyberland knows of a place I can live where I can start grilling food again, please let me know (reasonable rental rates will be paid). Unfortunately I have some job-related geographic restrictions, so suggesting that I move to a beaut terrace house in Carlton just won&#8217;t cut the mustard (unless you can also land me a job at Melbourne University (and kick BHP out of the MUMS room)).</p>
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		<media:content url="http://bartogian.files.wordpress.com/2011/04/stove1.jpg" medium="image">
			<media:title type="html">Stove #1</media:title>
		</media:content>

		<media:content url="http://bartogian.files.wordpress.com/2011/04/stove2.jpg" medium="image">
			<media:title type="html">Stove #2</media:title>
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		<item>
		<title>New Years Resolutions</title>
		<link>http://bartogian.wordpress.com/2011/01/01/new-years-resolutions/</link>
		<comments>http://bartogian.wordpress.com/2011/01/01/new-years-resolutions/#comments</comments>
		<pubDate>Sat, 01 Jan 2011 17:10:26 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[a category]]></category>

		<guid isPermaLink="false">http://bartogian.wordpress.com/?p=161</guid>
		<description><![CDATA[1. Prove the Riemann Hypothesis. 2. Win mathoverflow. 3. Make it to Sydney. 4. World domination. 5. Bellyflop in a pizza.<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=161&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>1. Prove the Riemann Hypothesis.<br />
2. Win mathoverflow.<br />
3. Make it to Sydney.<br />
4. World domination.<br />
5. Bellyflop in a pizza.</p>
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		<title>Re: complaint about no actual photo of me</title>
		<link>http://bartogian.wordpress.com/2010/11/13/re-complaint-about-no-actual-photo-of-me/</link>
		<comments>http://bartogian.wordpress.com/2010/11/13/re-complaint-about-no-actual-photo-of-me/#comments</comments>
		<pubDate>Sat, 13 Nov 2010 02:39:02 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[a category]]></category>

		<guid isPermaLink="false">http://bartogian.wordpress.com/?p=151</guid>
		<description><![CDATA[I have uncovered a profound realisation. The point of publically posting things on the internet is so that you come to appear as an arrogant show off to all your friends. With this change in attitude, friends suddenly become ex-friends, enabling some serious cutbacks of ones social life to occur. The upshot is of course [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=151&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>I have uncovered a profound realisation. The point of publically posting things on the internet is so that you come to appear as an arrogant show off to all your friends. With this change in attitude, friends suddenly become ex-friends, enabling some serious cutbacks of ones social life to occur. The upshot is of course that without a social life to distract you, this frees up more time for proving theorems.</p>
<p>The first picture below is not a very flattering portrayal, but for reasons of inclusion, see the title and above paragraph.<br />
<div id="attachment_152" class="wp-caption aligncenter" style="width: 460px"><a href="http://bartogian.files.wordpress.com/2010/11/japan-010.jpg"><img src="http://bartogian.files.wordpress.com/2010/11/japan-010.jpg?w=450&#038;h=337" alt="" title="OLYMPUS DIGITAL CAMERA" width="450" height="337" class="size-full wp-image-152" /></a><p class="wp-caption-text">Me at Hakuba</p></div></p>
<p>Now we see some of the local wildlife. Is anyone able to provide a positive identification of the creature in the picture below?</p>
<div id="attachment_154" class="wp-caption aligncenter" style="width: 460px"><a href="http://bartogian.files.wordpress.com/2010/11/japan-012.jpg"><img src="http://bartogian.files.wordpress.com/2010/11/japan-012.jpg?w=450&#038;h=337" alt="" title="OLYMPUS DIGITAL CAMERA" width="450" height="337" class="size-full wp-image-154" /></a><p class="wp-caption-text">Kono wa nani desu ka?</p></div>
<p>We conclude with a potential souvenir that, at 735,000 yen, the author found outside his price range.</p>
<div id="attachment_155" class="wp-caption aligncenter" style="width: 460px"><a href="http://bartogian.files.wordpress.com/2010/11/japan-013.jpg"><img src="http://bartogian.files.wordpress.com/2010/11/japan-013.jpg?w=450&#038;h=337" alt="" title="OLYMPUS DIGITAL CAMERA" width="450" height="337" class="size-full wp-image-155" /></a><p class="wp-caption-text">A bargain at twice the price?</p></div>
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			<media:title type="html">OLYMPUS DIGITAL CAMERA</media:title>
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			<media:title type="html">OLYMPUS DIGITAL CAMERA</media:title>
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			<media:title type="html">OLYMPUS DIGITAL CAMERA</media:title>
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		<title>2010 Travelogue</title>
		<link>http://bartogian.wordpress.com/2010/09/19/2010-travelogue/</link>
		<comments>http://bartogian.wordpress.com/2010/09/19/2010-travelogue/#comments</comments>
		<pubDate>Sun, 19 Sep 2010 21:44:14 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://bartogian.wordpress.com/?p=120</guid>
		<description><![CDATA[I&#8217;m not usually very good with taking heaps of pictures and distributing them. But lets give it a go shall we, and lo and behold, here is an attempt to bore you. I maintain that this is a better medium than that other popular website since I don&#8217;t want to give all the details of [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=120&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>I&#8217;m not usually very good with taking heaps of pictures and distributing them. But lets give it a go shall we, and lo and behold, here is an attempt to bore you. I maintain that this is a better medium than that other popular website since I don&#8217;t want to give all the details of my private life to some loser that dropped out of that small liberal arts college up the river.</p>
<div id="attachment_123" class="wp-caption aligncenter" style="width: 310px"><a href="http://bartogian.files.wordpress.com/2010/09/p6300061.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/p6300061.jpg?w=300&#038;h=225" alt="" title="OLYMPUS DIGITAL CAMERA" width="300" height="225" class="size-medium wp-image-123" /></a><p class="wp-caption-text">Notre Dame, with Siene in foreground</p></div>
<p>Paris je t&#8217;aime. Is starting with a picture of a canonical landmark considered good form?</p>
<div id="attachment_127" class="wp-caption aligncenter" style="width: 310px"><a href="http://bartogian.files.wordpress.com/2010/09/monalisa.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/monalisa.jpg?w=300&#038;h=225" alt="" title="OLYMPUS DIGITAL CAMERA" width="300" height="225" class="size-medium wp-image-127" /></a><p class="wp-caption-text">At the Louvre</p></div>
<p>This is a picture of all the bloody tourists doing what every tourist wants to do and take a picture of the Mona Lisa. It is at this point in the exposition that I am tempted to try to insert a dirty joke, but will refrain from doing so out of respect of those who haven&#8217;t seen the Mona Lisa.</p>
<p><div id="attachment_145" class="wp-caption aligncenter" style="width: 235px"><a href="http://bartogian.files.wordpress.com/2010/09/venusdemilo1.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/venusdemilo1-e1284932375336.jpg?w=225&#038;h=300" alt="" title="OLYMPUS DIGITAL CAMERA" width="225" height="300" class="size-medium wp-image-145" /></a><p class="wp-caption-text">Venus de Milo</p></div><br />
This is also at the Louvre. Unfortunately it didn&#8217;t come in gummy form.</p>
<div id="attachment_129" class="wp-caption aligncenter" style="width: 310px"><a href="http://bartogian.files.wordpress.com/2010/09/dogbeach.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/dogbeach.jpg?w=300&#038;h=225" alt="" title="OLYMPUS DIGITAL CAMERA" width="300" height="225" class="size-medium wp-image-129" /></a><p class="wp-caption-text">The Indian Ocean</p></div>
<p>My most local beach. The texture of the sand, the surf, really makes me feel back home.</p>
<div id="attachment_130" class="wp-caption aligncenter" style="width: 310px"><a href="http://bartogian.files.wordpress.com/2010/09/p8180085.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/p8180085.jpg?w=300&#038;h=225" alt="" title="OLYMPUS DIGITAL CAMERA" width="300" height="225" class="size-medium wp-image-130" /></a><p class="wp-caption-text">Yes these pictures are being shown in chronological order</p></div>
<p>Lagrange, Laplace et al. I had no idea before visiting that these greats are venerated on this most famous of landmarks.</p>
<div id="attachment_135" class="wp-caption aligncenter" style="width: 310px"><a href="http://bartogian.files.wordpress.com/2010/09/p8190086.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/p8190086.jpg?w=300&#038;h=225" alt="" title="OLYMPUS DIGITAL CAMERA" width="300" height="225" class="size-medium wp-image-135" /></a><p class="wp-caption-text">WTF mate?</p></div>
<p>Seen in Den Haag.</p>
<div id="attachment_148" class="wp-caption aligncenter" style="width: 235px"><a href="http://bartogian.files.wordpress.com/2010/09/p82400882.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/p82400882-e1284932593503.jpg?w=225&#038;h=300" alt="" title="OLYMPUS DIGITAL CAMERA" width="225" height="300" class="size-medium wp-image-148" /></a><p class="wp-caption-text">a church (duh)</p></div>
<p>Europe seems replete with splendid churches. This particular specimen was found in Den Bosch, which I visited as it is apparently a more &#8220;dutchee&#8221; town, and is the home of the lovely dessert, the Bossche Bol, which I strongly recommend.</p>
<div id="attachment_137" class="wp-caption aligncenter" style="width: 310px"><a href="http://bartogian.files.wordpress.com/2010/09/p8260093.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/p8260093.jpg?w=300&#038;h=225" alt="" title="OLYMPUS DIGITAL CAMERA" width="300" height="225" class="size-medium wp-image-137" /></a><p class="wp-caption-text">Brugge, Belgium</p></div>
<p>More precisely this picture was taken from the top of the tower in the centre of town. Brugge is a quaint and beautiful town, complete with cobblestone-lined streets, delicious Belgian chocolate and a large population of tourists.</p>
<div id="attachment_138" class="wp-caption aligncenter" style="width: 310px"><a href="http://bartogian.files.wordpress.com/2010/09/p8270104.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/p8270104.jpg?w=300&#038;h=225" alt="" title="OLYMPUS DIGITAL CAMERA" width="300" height="225" class="size-medium wp-image-138" /></a><p class="wp-caption-text">Foucault's Pendulum</p></div>
<p>mmm, science. In the Pantheon.</p>
<div id="attachment_139" class="wp-caption aligncenter" style="width: 310px"><a href="http://bartogian.files.wordpress.com/2010/09/sliderule.jpg"><img src="http://bartogian.files.wordpress.com/2010/09/sliderule.jpg?w=300&#038;h=225" alt="" title="OLYMPUS DIGITAL CAMERA" width="300" height="225" class="size-medium wp-image-139" /></a><p class="wp-caption-text">My office at Stanford</p></div>
<p>Yes this is a slide rule. Clearly if I want to be at the forefront of mathematical research, then I need access to all the cutting edge computational machinery that mankind has developed. (At the time of writing, I do not have a computer in said office).</p>
<p>Ladies and Gentlemen thank you for your attention, and I&#8217;ll appear on your RSS reader again when next something interesting happens.</p>
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		<title>On the 2010 WA Senate Election Results</title>
		<link>http://bartogian.wordpress.com/2010/09/19/on-the-2010-wa-senate-election-results/</link>
		<comments>http://bartogian.wordpress.com/2010/09/19/on-the-2010-wa-senate-election-results/#comments</comments>
		<pubDate>Sun, 19 Sep 2010 01:04:11 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[politics]]></category>

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		<description><![CDATA[Firstly, all data here is taken from the AEC website. Now I am not a fan of above the line voting, and to put it bluntly, if someone isn&#8217;t going to think enough about who they want to vote for to vote below the line, then their vote doesn&#8217;t deserve to count. So with this [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=119&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>Firstly, all data here is taken from the <a href="http://vtr.aec.gov.au/SenateStateFirstPrefsByVoteType-15508-WA.htm">AEC website</a>.</p>
<p>Now I am not a fan of above the line voting, and to put it bluntly, if someone isn&#8217;t going to think enough about who they want to vote for to vote below the line, then their vote doesn&#8217;t deserve to count. So with this as a starting point, lets take a look at what the results would look like if only below the line votes were counted.</p>
<p>Rachel Sierwart of the Greens is now way out in front, with more than two quotas, with the first Liberal and Labor candidates each just short of a quota.</p>
<p>(name, party, votes, percent of below the line votes)<br />
SIEWERT, Rachel	     The Greens	11694 30.96<br />
CORMANN, Mathias	Liberal	5215	 13.81<br />
EVANS, Chris	Australian Labor Party	4692	12.42<br />
MARTIN, Justine	Australian Sex Party	2360	6.25<br />
McCOURT, John	The Nationals	1727	4.57<br />
YOUNG, Trevor	Christian Democratic Party	1436	3.8<br />
CUNNINGHAM, Christine	 The Greens	855	2.26<br />
ROSE, Linda 	Family First	758	2.01<br />
YOUNG, Paul James	Australian Democrats	613	1.62<br />
PEAKE, Paul	Shooters and Fishers	597	1.58<br />
.<br />
.<br />
.<br />
GOODLAD, John		10	0.03.</p>
<p>Now unfortunately we don&#8217;t have the information available to us to compute a proper distribution of preferences based on these results &#8211; all we know is that Rachel Siewart would get re-elected (as happened in the real thing). In the absence of any other method available, I went to <a href="http://www2b.abc.net.au/Elections/View/SenateCalculator.aspx?e=10&amp;ca=wa">Anotony Green&#8217;s senate calculator</a> and entered the percentage of below the line votes that each candidate received to produce a result. This calculator distributes preferences as if every vote was an above the line ticket vote.</p>
<p>And for the results, the following candidates would be elected:</p>
<p>1		Rachel SIEWERT				Australian Greens<br />
2		Mathias CORMANN				Liberal Party<br />
3		Chris EVANS				Australian Labor Party<br />
4		Kado MUIR				Australian Greens<br />
5		Trevor YOUNG				Christian Democratic Party<br />
6		Justine MARTIN				Australian Sex Party		</p>
<p>Wow! What an incredibly more awesome result than the 3 Liberal/2 Labor/1 Green that the election produced. If only &#8230;</p>
<p>To finish on a sadder note, the number of below the line votes (37773) was less than the number of informal votes (40490).</p>
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		<title>scrambled eggs with basil pesto and sauteed ham</title>
		<link>http://bartogian.wordpress.com/2010/06/16/scrambled-eggs-with-basil-pesto-and-sauteed-ham/</link>
		<comments>http://bartogian.wordpress.com/2010/06/16/scrambled-eggs-with-basil-pesto-and-sauteed-ham/#comments</comments>
		<pubDate>Wed, 16 Jun 2010 03:21:27 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://bartogian.wordpress.com/?p=117</guid>
		<description><![CDATA[Discuss.<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=117&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>Discuss.</p>
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		<title>Chat in Section 140 on ESPN and die</title>
		<link>http://bartogian.wordpress.com/2010/05/23/chat-in-section-140-on-espn-and-die/</link>
		<comments>http://bartogian.wordpress.com/2010/05/23/chat-in-section-140-on-espn-and-die/#comments</comments>
		<pubDate>Sun, 23 May 2010 03:49:29 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://bartogian.wordpress.com/?p=112</guid>
		<description><![CDATA[Dear ESPN, Fuck you. You used to know how to run a streaming site for replaying sports events. This concept of watching the replay I have found to be useful because (a) there is rarely smooth streaming for an entire quarter, and (b) the footy is on too early in the morning in this stupid [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=112&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>Dear ESPN,</p>
<p>Fuck you.</p>
<p>You used to know how to run a streaming site for replaying sports events. This concept of watching the replay I have found to be useful because (a) there is rarely smooth streaming for an entire quarter, and (b) the footy is on too early in the morning in this stupid timezone I&#8217;m in.</p>
<p>But now, if I go to the site and want to watch a replay of today&#8217;s hit and giggle, I get the following (click to enlarge)</p>
<p><a href="http://bartogian.files.wordpress.com/2010/05/fuckyouespn.jpg"><img src="http://bartogian.files.wordpress.com/2010/05/fuckyouespn.jpg?w=450&#038;h=344" alt="" title="fuckyouespn" width="450" height="344" class="aligncenter size-full wp-image-113" /></a></p>
<p>Looking on the right of screen, there is &#8220;CHAT IN SECTION 140&#8243;, where you allow random internet turds to post things like the outcome of the game! This violates the first, and only rule, of showing a replay. I don&#8217;t want to know the score. So&#8230;</p>
<p>Fuck you.</p>
<p>Fuck you again.</p>
<p>I hope that whoever designed this bug gets shipped off to Guantanemo. Hurry the fuck up and fix it.</p>
<p>endpress<br />
signoff</p>
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		<title>8-ball tactics</title>
		<link>http://bartogian.wordpress.com/2010/05/22/8-ball-tactics/</link>
		<comments>http://bartogian.wordpress.com/2010/05/22/8-ball-tactics/#comments</comments>
		<pubDate>Sat, 22 May 2010 04:01:26 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[pool]]></category>

		<guid isPermaLink="false">http://bartogian.wordpress.com/?p=103</guid>
		<description><![CDATA[Dear pool players who are better than me, You are playing a game of 8-ball, are trying to run out the solids, and things have gone a little awry (table 1) or significantly awry (table 2). You are down to one solid ball remaining in each case. Discuss what you think the best course of [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=103&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>Dear pool players who are better than me,</p>
<p>You are playing a game of 8-ball, are trying to run out the solids, and things have gone a little awry (table 1) or significantly awry (table 2). You are down to one solid ball remaining in each case. Discuss what you think the best course of action would be.</p>
<p>On each table, the stripy balls not indicated can be assumed to be in reasonably generic places, without any clusters. On the first table, the 8-ball does not go into any of the lower corner pockets.</p>
<div id="attachment_105" class="wp-caption aligncenter" style="width: 410px"><a href="http://bartogian.files.wordpress.com/2010/05/pooltable1.jpg"><img src="http://bartogian.files.wordpress.com/2010/05/pooltable1.jpg?w=450" alt="table 1" title="pooltable1"   class="size-full wp-image-105" /></a><p class="wp-caption-text">table 1</p></div>
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		<title>A population problem</title>
		<link>http://bartogian.wordpress.com/2010/04/13/a-population-problem/</link>
		<comments>http://bartogian.wordpress.com/2010/04/13/a-population-problem/#comments</comments>
		<pubDate>Tue, 13 Apr 2010 02:46:09 +0000</pubDate>
		<dc:creator>Peter McNamara</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

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		<description><![CDATA[Really a variation on a well-known theme, inspired by this and also recently appearing here. Suppose there is an initially finite population consisting of males and females which breeds without multiple births according to the following rules. Each femaile continues to produce offspring until a male child is borne, and then ceases to breed. Show [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=bartogian.wordpress.com&amp;blog=985125&amp;post=97&amp;subd=bartogian&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>Really a variation on a well-known theme, inspired by <a href="http://www.danielyeow.com/2010/population-paradox/">this</a> and also recently appearing <a href="http://mathoverflow.net/questions/17960/google-question-in-a-country-in-which-people-only-want-boys">here</a>.</p>
<p>Suppose there is an initially finite population consisting of males and females which breeds without multiple births according to the following rules. Each femaile continues to produce offspring until a male child is borne, and then ceases to breed. Show that (even in this ideal universe) with probability 1, a point in time will be reached after which no further reproduction is possible. We assume that births are iid with equal probability of a male or a female being born.</p>
<p>I suggest this as an exercise, and include a solution below the fold. <span id="more-97"></span></p>
<p>***SPOILER ALERT***</p>
<p>WLOG there are initially zero males. WLOG noone ever dies. Then at all times, there is an injective function from the set of males to the set of females, given by taking ones mother. Consider the difference F-M between the number of females and the number of males. Over time, this difference evolves as a random walk on the integers, at each stage adding one with probability 1/2 and subtracting one with probability 1/2. This random walk has the property that it will visit every integer with probability 1. (It is folklore knowledge that the corresponding result is true in two dimensions and false in three). Hence this value F-M reaches a non-positive number with probability 1, at which point no more births are possible, since every female already has a male son.</p>
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