We show that for a fixed integer base g ≥ 2 the palindromes to base g which are k-powers form a very thin set in the set of all base g palindromes.

We begin with some simple questions. What is the distribution of the product of given powers of independent continuous uniform random variables? Is this distribution useful? Are there some test statistics with this distribution? Is this distribution somehow related to the distribution of the product of other random variables? Is this distribution already known in some context? This short paper ...

HE QUESTION of Australia becoming a republic has sparked intense and often impassioned debate. This debate revolves around whether such change is necessary or important, and extends to what this symbolic change would entail in practice. The role of an Australian President as Head of State is an essential element of such discourse. It is vital that debate over a desirable role for the President ...

This paper sets out an approach to the analysis of political power in terms of problematics of government. It argues against an overvaluation of the 'problem of the State' in political debate and social theory. A number of conceptual tools are suggested for the analysis of the many and varied alliances between political and other authorities that seek to govern economic activity, social life an...

The gap between the eigenvalues of the dominant and subdominant eigenvectors of the evolution operator associated with the contact process in one dimension is studied by perturbative series expansions in powers of the creation rate. The series expansion for the gap was computed with 49 coefficients. An analysis by Padé approximants allowed the determination of the critical creation rate and the...

We give a simple and independent proof of the result of Jack Button and Paul Schmutz that the Markoff conjecture on the uniqueness of the Markoff triples (a, b, c) where a ≤ b ≤ c holds whenever c is a prime power.

The Italian health system is highly decentralized, with most administrative and organizational powers governed by Regions and rather limited powers at national level. The state has full control over the definition of the core benefit package (LEA) but there is evidence that the actual provision of these services varies greatly across Regions.