On 3/27/07, Kate Minola <[EMAIL PROTECTED]> wrote:
>
> Is there a SAGE command equivalent to the Magma command
> 'EulerianNumber'?

Maybe. It's hard to tell.  The Magma command says:
    (<RngIntElt> n, <RngIntElt> r) -> RngIntElt
        The Eulerian number E(n, r) [n >= 0].

but I don't know what that means, since there is no reference or anything.

SAGE has a command euler_number, that takes only one
input, has a bunch of examples, and a reference.

> If so, how would you expect a new SAGE user to find out
> about it?  In other words, where should one search
> in the SAGE documentation?

In sage-2.4, there is a new facility for full text search of
all the documentation:
  1. In the notebook (or command line, though in the notebook it's better) type:
      search_doc('eulerian')
and press shift-enter.
  2. You'll get one hit.  Click on it.
  3. You'll get a worksheet with examples of the euler_number command
and relevant docs.

Alternatively, type "eul[tab]" at the prompt and you'll see a few choices,
and one is euler_number.

It would be good if somebody could explain what Magma's eulernumber command
is defined to actually do, and then somebody else could implement it in
SAGE and send me a patch :-).

 -- William

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