We study conditional computational entropy: the amount of randomness a distribution appears to have to a computationally bounded observer who is given some correlated information. By considering conditional versions of HILL entropy (based on indistinguishability from truly random distributions) and Yao entropy (based on incompressibility), we obtain: – a separation between conditional HILL and ...

and in which a and 6 are constants, arises in applied mathematics in two main groups of problems. The first group, of which Mathieu's problem of the transverse vibrations of a taut elliptic membrane is typical, consists of boundary problems relative to some partial differential equation, such as the wave equation, where the boundary is an ellipse—or possibly a hyperbola. Here a fundamental requ...

Julius Whiston [6] calculated the maximum size of an irredundant generating set for Sn and An by examination of maximal subgroups. Using analogous considerations, we will compute upper bounds to this value for the first two Mathieu groups, M11 and M12. Computational results gave explicit irredundant generating sets of M11 and M12 of size 5 and 6, respectively. Together these give the full resul...

We give a new proof of a formula for the fusion rules for type A2 due to Bégin, Mathieu, and Walton. Our approach is to symbolically evaluate the Kac-Walton algorithm.

Model for rural and remote speech pathology student placements: Using non-traditional sites and partnershipsajr_1177 52..53 Debra Jones, Diena Grant-Thomson, Elizabeth Bourne, Paul Clark, Honor Beck and David Lyle Broken Hill University Department of Rural Health, and Faculty of Health Sciences, University of Sydney, Sydney, and Broken Hill Health Service, Greater Western Area Health Service, a...

Abstract The main objective of this paper is to present a new extension the familiar Mathieu series and alternating S ( r ) $${{\widetilde{S}}}(r)$$ S ~ ( r ) which are denoted by $${\mathbb {S}...

A flow-injection (FI) method based on analytical pervaporation was assessed for its routine use in the determination of volatile acidity in winery laboratories. The new method was compared with both the official method and the Mathieu method, which is most often used in Spanish wineries, by testing 30 different wines, including young and aged, and sweet and dry wines from Montilla-Moriles appel...