Re: Extract Integers

• To: mathgroup at smc.vnet.net
• Subject: [mg131425] Re: Extract Integers
• From: Daniel <dosadchy at its.jnj.com>
• Date: Sun, 21 Jul 2013 21:40:56 -0400 (EDT)
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```Since Rational[] is an Atom (AtomQ[2/3] returns True), Cases[] does not descent into it. You can use this:

Cases[Cases[equ, v_?NumericQ, Infinity] /. Rational[e1_, e2_] -> Sequence[e1, e2], _Integer]

Depending on your problem, you might want to treat Complex[] the same way.

> Hi.  I've run out of ideas.  Does anyone know the
> proper way to extract all the integers from the
> following simplified version of a larger problem I'm
> working on?
>
> equ=Series[Exp[x],{x,0,5}] //Normal
>
> 1+x+x^2/2+x^3/6+x^4/24+x^5/120
>
> When trying to extract all the integers, I understand
> numbers like 120 are part of Rational[1,120]
>
> equ //FullForm
>
> << Not shown here >>
>
> I thought looking at all LevelSpec was the solution,
> but apparently not.
>
> Cases[equ, _Integer, Infinity]
> {1,2,3,4,5}
>
> (* Or *)
>
> Position[equ, _Integer, Infinity]
> {{1},{3,2,2},{4,2,2},{5,2,2},{6,2,2}}
>
> Extract[equ, %]
> {1,2,3,4,5}
>
> Both ways extract from the numerator, but I just
> can't seem to extract the {2,6,24,120} inside the
> denominator.
> Does anyone know the proper way?