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+--- Thread: Heaviside, Dirac, Ramp (/thread-9380.html)
Heaviside, Dirac, Ramp - salvomic - 10-27-2017 01:42 PM
hi everybody,
in CAS they are well supported both Heaviside() and Dirac() functions.
Maybe it would be useful (for students) to include also Ramp(), for completeness, isn't it?
( In this link) their theory, as we know...)
Almost poll: Do you agree?
Now, actually we have only Heaviside() and Dirac() in Catalog (but not Ramp()) and they are also in the Help, so:
diff(Heaviside(x)) -> Dirac(x)
• ∫Dirac(x)dx returns ∫Dirac(x)dx
• ∫Heaviside(x)dx returns {x if x>0, 0
\[
\text{Ramp }
\left\{\begin{matrix}
x \text{, if } x>0 \\
0
\end{matrix}\right.
\]
If there would be a "Ramp" function, we could have:
• ∫Dirac(x)dx should return a (new defined in CAS) Ramp(x) function...
• diff(Ramp(x)) should also return Heaviside(x)
Where Ramp(x) could be ({x if z>0, 0) or other definition [theoretically something like peacewise(x>0,0,x) ]
Obviously with warning for the definition in 0 and so on...
Only me two ..."Ramp cents" ¢ :-)
Salvo