MATLAB- Renaming issue of heaviside.m

Question

1) int(( heaviside(sym('t')) ),0,0.5 ) works perfectly but when I edit the in-built MATLAB file heaviside.m and rename it as my_heaviside.m and then call it in the command window as
int(( my_heaviside(sym('t')) ),0,0.5 ) it shows error.

2) How to write the following piecewise function with the help of heaviside: f(x)= 1, 2<=x <3 & 0 elsewhere. Note that at x=2 , I require f(x)= 1 and at x=3 , I require f(x)= 0 .

3) I want that the f(x) in point no. 2 should be defined in such a way that it can be symbolically integrate like in point 1.

Answer 1

您应该尝试将my_heaviside.m文件中的函数名称从heaviside更改为my_heaviside。

Answer 2

If you use a breakpoint in the heaviside function, then you will see that Matlab never actually goes into the function when evaluating heaviside(t) . Why? What should be the output of heaviside(t) ? It is supposed to be heaviside(t) ! What it actually does is it goes to the method heaviside inside of the sym class definition, the output of that function is just mupadmex('symobj::map',ts,'heaviside') which is just another name for the heaviside of t (here s is a private property of a sym object).

Also when Matlab tries to integrate the heaviside function, it cannot integrate it from first principles by looking at the structure of the mfile , but it uses theorems to evaluate expressions containing it; thus one cannot hope to edit the actual mupad file for heaviside and expect Matlab to find the correct integral.