Mr. Francis Fisher Kane

The Aliquot Constant, after Bosma and Kane

Let s(n) be the sum of those positive divisors of the natural number n other than n itself. A conjecture of Catalan–Dickson is that the “aliquot” sequence of iterating s starting at any n terminates at 0 or enters a cycle. There is a “counter” conjecture of Guy–Selfridge that while Catalan–Dickson may be correct for most odd numbers n, for most even seeds, the aliquot sequence is unbounded. Len...

Francis Barr

influenza programme chief, reported an increase in the number of cluster cases reported recently, with the biggest being a family of five cases. There have been seven cluster cases in Vietnam, all within single families, most recently in the northern province of Haiphong. No relative has been proved to have passed the disease to another in these cases but, Horby said, " the onset dates could be...

Francis Wolenski

Boundary-condition problem in the Kane model

The boundary conditions for a multicomponent effective wave function are obtained in the eight-band Kane model. The relations are established between boundary-condition matrix elements and the Kane Hamiltonian parameters in constitutive semiconductors. In general, these relations are incompatible with component-bycomponent continuity of the effective wave function, traditionally employed in mul...

Kane Gulch Ranger Station Visitor Survey

In order for the Bureau of Land Management (BLM) to comply with the Government Performance and Results Act (GPRA), and better meet the needs of the public; a visitor satisfaction survey was conducted at 24 BLM recreation sites in 13 states during fiscal year 2012 (FY12). The survey was developed to measure each site's performance related to BLM GPRA Goal 3.1 Provide for a quality recreation exp...