Mathematical Example
The function
exhibits hyperbolic growth with a singularity at time : in the limit as, the function goes to infinity.
More generally, the function
exhibits hyperbolic growth, where is a scale factor.
Note that this algebraic function can be regarded as analytical solution for the function's differential:
This means that with hyperbolic growth the absolute growth rate of the variable x in the moment t is proportional to the square of the value of x in the moment t.
Respectively, the quadratic-hyperbolic function looks as follows:
Read more about this topic: Hyperbolic Growth
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