Re: Mathematical function for Smiling Jack the Anarch

On 29 sep, 05:33, bwross <bwr...@xxxxxxxx> wrote:
On Sep 28, 9:56 pm, devilwithcape

<devil_in_the_pale_moon_li...@xxxxxxxxx> wrote:
The function is:

f(x) = x[ (x+1)/2 ]

where x equals the counters on Jack.

Yep, that's the sum of integers from 1 to x.  The sequence is also
referred to as triangular numbers, because they count the number of
items arranged as a triangle
like this:

  *      *       *        *
        * *     * *      * *
               * * *    * * *
                       * * * *

It's a very useful sequence and function to know.  It comes up a lot
in math as well as in games.

There's a story where Carl Friedrich Guass (a famous mathematician in
the first half of the 1800s) was made to calculate the sum of the
integers from 1 to 100 as a punishment as a school kid.  What he did
was consider:

Excuse me Ross...you mean actually Carl Friedrich GAUSS, the famous
mathematician who invented the archifamous gaussian copula, which is
the cornerstone of continuous stochastic variables distributions....
under others.


.

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