Heaviside, Dirac, Ramp

10272017, 01:42 PM
(This post was last modified: 10282017 07:41 AM by salvomic.)
Post: #1




Heaviside, Dirac, Ramp
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 ∫aL√0 (@salvomic, IT9CLU)  HP Prime, 50g, 12C :: HP Prime Software Library 

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