tag:blogger.com,1999:blog-9169807962225235745.post8429106169018756613..comments2016-10-26T20:23:55.061-07:00Comments on <br>Mobile Technology and Van-dwelling: A Temporary Sheltererowe3http://www.blogger.com/profile/05083581575320829723noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-9169807962225235745.post-38777044324566121272012-03-31T17:57:36.293-07:002012-03-31T17:57:36.293-07:00http://www.growthbusters.org/2012/03/limits-to-gro...http://www.growthbusters.org/2012/03/limits-to-growth-bacteria-in-a-bottle/<br /><br />Limits to Growth – Bacteria in a Bottle<br /><br />Retired physics professor Al Bartlett (to whom the GrowthBusters movie was dedicated), is world famous both for his Laws Related to Sustainability and his lecture about exponential growth.<br /><br />0.15<br />The greatest shortcoming of the human race is our inability to understand the exponential function.<br /><br />0.20<br />If you have one bacteria, and they grow by doubling, and 1 bacteria divides to become 2, then 2 divided to become 4, then 4 becomes 8, 16 and so on. Now that's steady growth. Just ordinary growth!<br /><br />If they double in number every minute, say you have just 1 bacterium in a empty bottle starting at 11 in the morning. If you observe the bottle's full at 12 noon, then you have a case of steady growth in a finite environment.<br /><br />0.52<br />At what time was the bottle half full? You'll get answers like 11:30 am. No, this is steady growth. It doubles in number every minute. It'll be half full at 1 minute before 12.<br /><br />1.11<br />Second question, if you were an average bacterium in that bottle, at what time would you first realize that you were running out of space? At 12 noon the bottle's full. 1 minute before it's half full. 2 minutes before it's a quarter full. Then an eighth and a sixteenth.<br /><br />1.22<br />Let me ask you, at 5 minutes before twelve, and the bottle's only 3% full and there's 97% open space just yearning for development... how many of you would realize their was a problem?Michaelhttp://www.blogger.com/profile/13266757685674405297noreply@blogger.com