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	<title>Comments on: &#8230; is the highest possible average distance between two points in a circular space?</title>
	<link>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/</link>
	<description>A working notebook</description>
	<pubDate>Tue, 15 Dec 2009 11:46:13 +0000</pubDate>
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		<title>by: Nate</title>
		<link>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1804</link>
		<pubDate>Tue, 17 Jul 2007 12:18:21 +0100</pubDate>
		<guid>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1804</guid>
					<description>I prefer to call it Rolyatism.</description>
		<content:encoded><![CDATA[	<p>I prefer to call it Rolyatism.
</p>
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		<title>by: Mark</title>
		<link>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1801</link>
		<pubDate>Tue, 17 Jul 2007 04:48:21 +0100</pubDate>
		<guid>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1801</guid>
					<description>What is this, like anti-Taylorism?</description>
		<content:encoded><![CDATA[	<p>What is this, like anti-Taylorism?
</p>
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		<title>by: Nate</title>
		<link>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1797</link>
		<pubDate>Sun, 15 Jul 2007 14:38:14 +0100</pubDate>
		<guid>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1797</guid>
					<description>Thanks for the help y'all. 

Mike, there's not much purpose really. Here's the origin of my wondering. I was thinking about what it would take to talk to every single worker at a facility. A small group working at the facility is limited by the amount of time they have outside of work per week (person hours per week is low). If a group could come in from out of town to help for a weekend, the number of total person hours expendable that weekend is higher. During that weekend, of course, one would want to be as efficient as possible with the out of towners' time. I just made up some numbers - 100 employee plant, everyone lives 40 miles or less from the plant, can we calculate rough distances etc, so we can set some basic benchmarks for how many people we'd need from out of town to really maximize the weekend. 100 people living 40 miles or less from work, means we can expect an average of 3 miles or so between people's homes. Four cars visiting those folk would have 25 people each, are likely to drive 75 miles during the day. If they drive an average of 30ish miles an hour, they're going to spend about 2 1/2 hours driving so they need to spend enough time knocking doors to make it worth the drive time. Etc. Make sense? Like I said, I started thinking about all this and just got caught up on the math question.
take it easy,
Nate


</description>
		<content:encoded><![CDATA[	<p>Thanks for the help y&#8217;all. </p>
	<p>Mike, there&#8217;s not much purpose really. Here&#8217;s the origin of my wondering. I was thinking about what it would take to talk to every single worker at a facility. A small group working at the facility is limited by the amount of time they have outside of work per week (person hours per week is low). If a group could come in from out of town to help for a weekend, the number of total person hours expendable that weekend is higher. During that weekend, of course, one would want to be as efficient as possible with the out of towners&#8217; time. I just made up some numbers - 100 employee plant, everyone lives 40 miles or less from the plant, can we calculate rough distances etc, so we can set some basic benchmarks for how many people we&#8217;d need from out of town to really maximize the weekend. 100 people living 40 miles or less from work, means we can expect an average of 3 miles or so between people&#8217;s homes. Four cars visiting those folk would have 25 people each, are likely to drive 75 miles during the day. If they drive an average of 30ish miles an hour, they&#8217;re going to spend about 2 1/2 hours driving so they need to spend enough time knocking doors to make it worth the drive time. Etc. Make sense? Like I said, I started thinking about all this and just got caught up on the math question.<br />
take it easy,<br />
Nate
</p>
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		<title>by: Mo</title>
		<link>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1794</link>
		<pubDate>Sat, 14 Jul 2007 02:49:30 +0100</pubDate>
		<guid>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1794</guid>
					<description>Your solution is correct as the minimum of all the sums of shortest distances between the points. Because otherwise it depends on from which point you start. For instance, say you move one of the 99 points away from the circumference and place it at distance 30 from the center. Starting from the displaced point you get 10 + 252(almost) + 40 = 302(almost), which is larger than 292(almost) that you get if you start from the center. So, unless you get the minimal maximal distance, your situation is rather path dependent (as they say in complexity theory, economics and historical sociology).</description>
		<content:encoded><![CDATA[	<p>Your solution is correct as the minimum of all the sums of shortest distances between the points. Because otherwise it depends on from which point you start. For instance, say you move one of the 99 points away from the circumference and place it at distance 30 from the center. Starting from the displaced point you get 10 + 252(almost) + 40 = 302(almost), which is larger than 292(almost) that you get if you start from the center. So, unless you get the minimal maximal distance, your situation is rather path dependent (as they say in complexity theory, economics and historical sociology).
</p>
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		<title>by: Mike B</title>
		<link>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1793</link>
		<pubDate>Fri, 13 Jul 2007 23:15:28 +0100</pubDate>
		<guid>http://whatinthehell.blogsome.com/2007/07/13/is-the-highest-possible-average-distance-between-two-points-in-a-circular-space/#comment-1793</guid>
					<description>I'm no geometrician, but it seems you would cut off some distance by travelling straight lines between the points on the edge. I'm intrigued as to the purpose of this problem...</description>
		<content:encoded><![CDATA[	<p>I&#8217;m no geometrician, but it seems you would cut off some distance by travelling straight lines between the points on the edge. I&#8217;m intrigued as to the purpose of this problem&#8230;
</p>
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