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Aleks Rūtiņš 2024-06-01 21:31:53 -04:00
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@ -26,7 +26,7 @@ $$ \frac{dx}{dt} = \text{production} - (\text{degradation} + \text{dilution}) $$
Or: Or:
$$ \frac{dx}{dt} = \beta - \gamma x $$ $$ \frac{dx}{dt} = \beta - \gamma x $$
Since \\(\gamma\\) counts both degradation and dilution, we can say that: Since \\(\gamma\\) counts both degradation and dilution, we can say that:
$$ \gamma = \gamma_\text{degradation} - \gamma_\text{dilution} $$ $$ \gamma = \gamma_\text{degradation} + \gamma_\text{dilution} $$
Since we're getting into the math, a quick tip: if you (like me) forget what a variable does halfway through the page, just hover over it and it'll tell you what it does. Anyway, back to the show. Since we're getting into the math, a quick tip: if you (like me) forget what a variable does halfway through the page, just hover over it and it'll tell you what it does. Anyway, back to the show.