Built-in functions : exp function

exp function

exp(X)

Returns e (the base of natural logarithms) to the power X

Input: numeric, or an array of numeric values

Result: numeric, or an array of numeric values

Example:

The exponential growth of a population is given by the formula

N_t = N₀e^r.t

where:

N_t is the population size at time t,

N₀ is the initial population size,

e is the base of natural logarithms,

r is the intrinsic growth rate, and

t is current time
 

We can represent this in Simile using a single variable (called N), with its equation being

N = 10*exp(0.1*time(1))

assuming that the initial population size = 10 and the value of r is 0.1.
 

In: Contents >> Working with equations >> Functions >> Built-in functions