It is because the integral can not be solved symbolically by sympy so it
has to be evaluated numerically _for each point t that is plotted_.

first plot: evaluate the integral symbolically (slow), calculate the value
of the result at each t (fast as it is only arithmetics)

last plot: try to evaluate the integral symbolically (slow and useless as
it fails), fallback to numeric integrations at each t (slow because numeric
integration needs a lot of sampling)


On 29 July 2013 08:45, <[email protected]> wrote:

> Ok, i see this isn't implemented yet. But could you give me a hint why
>> while the last plot the kernel is busy all the time ?
>>
>
>
> import sympy
> from sympy.plotting import plot
> from sympy.abc import t,tau
>
> u_t = 2 * DiracDelta(t)
> g_t = 0.5 * ( Heaviside(t)-Heaviside(t-2) )
>
> plot( integrate( u_t.subs(t,tau)*g_t.subs(t,t-tau), (tau,-10, 10)),
> (t,-10,10))
> plot( integrate( u_t.subs(t,tau)*u_t.subs(t,t-tau), (tau,-10, 10)),
> (t,-10,10))
> plot( integrate( g_t.subs(t,tau)*g_t.subs(t,t-tau), (tau,-10, 10)),
> (t,-10,10))
>
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