Can I get the python code for this computational physics and python programming problem? Consider the function

$f(t)=sin{c}^2(t)-=\frac{si{n}^2(t)}{t^2}$

Its continuous Fourier transform equals

tilde$(f)()=(\frac{}{2})$

where $(x)$ is the triangle function, whose graph has the shape of a triangle between $x=-1$

and $x=1$ with height $1$ at $x=0.$ This function can be defined via $(x)=$max$(1-|x|,0).$

Make a plot of $f(t).$ Then, following the steps from the lecture and the lab, compute

the Fourier transform of $f(t)$ numerically and compare your result to the exact analytical

solution tilde$(f)().$ You need to choose suitable values for the time step and overall time interval

at which you evaluate $f(t)$ to get good agreement. Plot your numerical solution for the Fourier

transform together with the analytical solution in one graph to demonstrate that they agree.