Hi Golam,
On Tue, 23 Jun 2009 11:53:17 -0300
Golam Mortuza Hossain <gmhoss...@gmail.com> wrote:
> I am seeking your opinion to finalize the conventions
> for three generalized functions that I am implementing currently.
>
> My proposals are:
>
> (1) These generalized functions be included in a new module as
>
> "sage.functions.generalized"
>
> (2) Dirac delta:
>
> (a) represented as: "dirac_delta" [ex. dirac_delta(x) ]
> (b) latex name : "\delta"
> (c) dirac_delta(0) : will return a symbolic expression
> "dirac_delta(0)"
+1 to these.
For some points below, MMA has different behavior than you suggest. I
only intend to provide more data below. I don't really use these
functions, so it would be better if other people comment on the
evaluation and printing.
> (3) Heaviside Theta:
>
> (a) represented as: "heaviside_theta"
> (b) latex name : "\theta"
> (c) heaviside_theta(0) = 1/2
MMA leaves this unevaluated, Maple returns "undefined"
In[2]:= HeavisideTheta[0]
Out[2]= HeavisideTheta[0]
> Heaviside(0);
undefined
>
> (3) Unit Step:
AFAICT, Maple doesn't define a different function for this.
> (a) represented as: "unit_step"
> (b) latex name : "{\rm u}"
MMA prints this as \theta as well:
In[3]:= TeXForm[UnitStep[x]]
Out[3]//TeXForm= \theta (x)
Cheers,
Burcin
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