
Unitary (Egyptian) fractions
Posted:
Mar 18, 2000 2:53 PM


Kevin Brown tries very hard to keep his discussion on this subject 'Egyptian' in character while also discussing modern number theory. Hugo and his methods seem heavily weighted to the present, meaning that his work does not present Egyptian fraction  but only finite unit fractions.
The same modern view of number theory can classify David Eppstein's work, someone with over 10 years of experience in this field, Yet, even David does not take time out from over 40 methods to generally convert p/q, any rational number, to a finite unit fraction series, to test his methods agains the ancient texts  such as the RMP 2/nth table.
That is, Hugo's point that there is no shorter series than 7terms is rather over stated, excluding Eppstein's 40 + algorithmetic methods, and my two basic nonalgorithmetic methods.
Regards to all,
Milo Gardner Sacramento, CA

