Consider a series of functions like
Table[Cos[k t], {k, 1, 2, 1/10}]
which are summed up together with some weights
x(t) = Sum[E^-k Cos[k t], {k, 1, 2,1/10}]/Sum[E^k, {k, 1, 2, 1/10}]
I'm interested in a density plot where the t/x axes are as natural, but with the color reflecting the probability of being in that point as given by the weights of the sum.
e.g. imagine a monte-carlo simulation with lots of trajectories. One can plot a density histogram from binning space and counting how many trajectories pass in that spatial region. How is this done for analytical functions, without first evaluating each individual function on the grid? Might it be more convenient to plot mean/standard deviation?
Cos[k t]
represent?E^-k
is weight, and you seem to be saying that it's the probability of being at a certain(t,x)
? How? Can you please give more details as to what your equation means? $\endgroup$ – march Jun 12 '19 at 15:50