# Revision history [back]

Use a Python function, either using def, or using lambda.

This will let you evaluate the function, and plot it.

Here, using lambda:

sage: W = RealDistribution('lognormal',[1.5, .6])
sage: def N(x): return W.cum_distribution_function(x)
sage: N(4)
0.4248467949573992
sage: plot(N, (x, 0, 10))


Here, using def:

sage: W = RealDistribution('lognormal',[1.5, .6])
sage: N = lambda x: W.cum_distribution_function(x)
sage: N(4)
0.4248467949573992
sage: plot(N, (x, 0, 10))


Use a Python function, either using def, or using lambda.

This will let you evaluate the function, and plot it.

Here, using lambda:

sage: W = RealDistribution('lognormal',[1.5, .6])
sage: def N(x): return W.cum_distribution_function(x)
sage: N(4)
0.4248467949573992
sage: plot(N, (x, 0, 10))


Here, using def:

sage: W = RealDistribution('lognormal',[1.5, .6])
sage: N = lambda x: W.cum_distribution_function(x)
sage: N(4)
0.4248467949573992
sage: plot(N, (x, 0, 10))


The down side is you need to do that for every variation based on N.

For instance, to plot 1 - N,

sage: NN = lambda x: 1 - N(x)
sage: plot (NN, (x, 0, 10))


Of course, to eg differentiate it, you would really need a symbolic function.

Maybe someone knows how to turn it into a symbolic function.

Maybe it's worth opening a Sage trac ticket to make cumulative distribution functions symbolic.