Showing posts with label recurrence. Show all posts
Showing posts with label recurrence. Show all posts

Tuesday, February 18, 2014

Wartime recurrence

In mathematics, it is not unusual to define an entity using a recurrence relation. 
For example, in defining powers of a positive integer:
       The 2nd power of  7  may be defined as  7  x  71 ;
               the 3rd power of  7  may be defined as  7  times  72
              and the 4th power is  7  times  73,
              and, in general, for any positive integer n,  7n+1  =  7  x  7n

Several weeks ago I attended a reading of fine poetry here in Silver Spring at the Nora School  -- a reading that featured DC-area poets Judith Bowles, Luther Jett, and David McAleavey.  I was delighted to hear in "Recessional" -- one of the poems presented that evening by Jett -- the mathematical pattern of recurrence, building stepwise  with a potentially infinite number of steps (as with the powers of 7, above) into a powerful poem.  I include it below:  

Sunday, June 26, 2011

The Joys of Mathematics

   The Joys of Mathematics     by Peter Boyle

   At fifty I will begin my count towards the infinite numbers.

   At negative ninety nine I will start my walk towards the
      infinitesimally small.