exponential_growth.exponential_growth

exponential_growth.exponential_growth(initial_value, growth_rate, time)

Calculate exponential growth over a specified time period.

This function computes the value after exponential growth using the formula:

N(t) = N0 * exp(r * t)

Parameters

Name	Type	Description	Default
initial_value	float	The starting value at time t = 0. Must be positive.	required
growth_rate	float	The continuous growth rate (decimal, not percentage). Positive values indicate growth; negative values indicate decay.	required
time	float	The time period over which growth occurs. Must be non-negative.	required

Returns

Name	Type	Description
	float	The calculated value after exponential growth.

Raises

Name	Type	Description
	TypeError	If any input is not numeric.
	ValueError	If any input is NaN, infinite, or violates constraints.
	OverflowError	If the calculation results in overflow.

Examples

>>> from biomathhh.exponential_growth import exponential_growth
>>> exponential_growth(50, 0.1, 0)
50.0
>>> round(exponential_growth(100, 0.05, 10), 6)
164.872127
>>> round(exponential_growth(1000, -0.03, 5), 6)
860.707976