4
the 100% arithmetically bigger that the 100% a moment ago.
Thus a day can be divided into two parts, within each part the total number of cells grows by 50%. ݃ ݎ ݐݓ ݄ ൌ ሺ1 100%2 ሻ ଶ ൌ 2.25 In fact, if there are 100 cells at first, after 24 hours, we can get 225 cells. If we can chage the rule of splitting and make it “producing 1/3 of the cells after 8 hours ” The formulae would be ݃ ݎ ݐݓ ݄ ൌ ሺ1 100%3 ሻ ଷ ൌ 2.37037 … If we make the split carry on forever and continuesly, the formulae would be ݃ ݎ ݐݓ ݄ ൌ lim ՜ஶ ൬1 100%݊ ൰ ൌ 2.718281828 “Coincidently”,the number we get here just equals the “e” When the rate of increasing stays at 100%, within a unit of time the cells can only increase to 271.8% In fact e shows up whenever systems grow exponentially and continuously: population, radioactive decay, interest calculations, and moreover it represents the idea that all continually growing systems are scaled versions of a common rate. e shows up whenever systems grow exponentially and continuously: population, radioactive decay, interest calculations, and more.
Made with FlippingBook - Online Brochure Maker