||last updated: 2005-10-26
A discrete function has values only for the natural numbers (n). Giving to the interval [n
- 1/2, n + 1/2] the value of f(n), we get a bar formed curve, a histogram.
When the discrete function gives a percentage, and the function values have been
ordered from high to low, the curve is called a Pareto
We shall see that some discrete curves for large n can be approached by (often
exponential) continuous functions.
The following discrete curves can be distinguished:
- prime related function
- (discrete) probability distribution
The function gives the probability that a value n occurs. Simple functions are the univalent
distribution (just one value)
and the alternative
distribution (two different values).
Others distributions are: