[erlang-questions] [Erlang-Question] Is Erlang good for Matrix manipulation and AI related algorithms

[Peer Stritzinger]

Forget what I said about Catalan Numbers (these count paths staying
below the diagonal).

What you need is this: http://mathworld.wolfram.com/LatticePath.html

>From this you could easily derive that the number of paths in a n x m
x k cuboid is:

(n+m+k)! / (n!*m!*k!)

Well that was easier than I thought.
-- Peer

On Tue, Nov 15, 2011 at 6:19 AM, Barco You <barcojie@REDACTED> wrote:
> Hi Peer,
> Could you please show me the one-line operation in erlang? Thank you!
>
> Regards,
> Barco
>
> On Tue, Nov 15, 2011 at 1:18 PM, Peer Stritzinger <peerst@REDACTED> wrote:
>>
>> On Thu, Nov 10, 2011 at 6:39 AM, Barco You <barcojie@REDACTED> wrote:
>>
>> > I hope to know there are how many paths across a specific point in a
>> > cubic
>> > lattice if we walk from the origin to the far-most diagonal point.
>>
>> It is not difficult to derive a closed form for this number, then
>> It'll be a fast O(1) operation in one line in any language.
>>
>> Cheers,
>> -- Peer
>
>