from Sovereign Man:
In mathematics, the term ‘linearity’ describes a relationship in which the rate of change for a variable is constant.
If you’re driving from Paris to Frankfurt at 100 kilometers per hour, then this is a linear system– your rate of change (speed) is constant.
Exponential growth, on the other hand, describes a relationship in which the rate of change for a variable is proportional to its current value.
Think of a single bacterium that multiplies into two. Two become four. Four become eight. Eight become sixteen. Etc.
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