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02.Growth Curve

# Lets get to the rationale of todays exercise were

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Lab 2 Page 20 Determining Generation Time Graphically (i.e. The Really Easy Way) Well, yes. It’s kind of like how after being molested by an Apple Tree, kidnapped by Flying Monkeys, and traumatized by The Wicked Witch of the West, Dorothy learns from The Witch of the North that she really didn’t have to experience any of these stressful Events. “You always had the Ruby Slippers.” If you were Dorothy wouldn’t you want to haul-off and punch Glinda’s Lights out? But I digress. Remember how an Arithmetic J-Shaped Curve was deemed Useless but the Logarithmic Straight Line was implied to be ever-so-Useful? That Straight Line represents your Ruby Slippers. All you have to do is pick two Points on the Linear Portion of your Logarithmic Straight Line that represent a Doubling of the Optical Density (say, 0.1 and 0.2). Then plot straight down onto the Horizontal Arithmetic Time Scale and read off the Time this took. And that’s all there is to it! And finally, a Word about Logarithms: Today’s Exercise was made possible by the generous Contributions of Logarithms, which were developed in the Late 16th Century by the Scotsman John Napier, who realized that any Number -- regardless of Size -- can be expressed by the Power to which a “Base” Number must be raised. So the Number 100 can be expressed as 10 2 . You can multiply any two Numbers by adding their Logs and you can divide any Number by another Number by subtracting the Log of one from the other. That how we did it BC (before Calculators). Logarithms provided the Means for all the Calculations required to design The
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Lets get to the Rationale of Todays Exercise Were trying to...

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