Complex Hyperbolic Surfaces of Abelian Type

2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07.

Cubic Sieve Congruence of the Discrete Logarithm Problem, and fractional part sequences

The Cubic Sieve Method for solving the Discrete Logarithm Problem in prime fields requires a nontrivial solution to the Cubic Sieve Congruence (CSC) x(3) equivalent to y(2)z (mod p), where p is a given prime number. A nontrivial solution must also satisfy x(3) not equal y(2)z and 1 <= x, y, z < p(alpha), where alpha is a given real number such that 1/3 < alpha <= 1/2. The CSC problem is to find an efficient algorithm to obtain a nontrivial solution to CSC. CSC can be parametrized as x equivalent to v(2)z (mod p) and y equivalent to v(3)z (mod p). In this paper, we give a deterministic polynomial-time (O(ln(3) p) bit-operations) algorithm to determine, for a given v, a nontrivial solution to CSC, if one exists. Previously it took (O) over tilde (p(alpha)) time in the worst case to determine this. We relate the CSC problem to the gap problem of fractional part sequences, where we need to determine the non-negative integers N satisfying the fractional part inequality {theta N} < phi (theta and phi are given real numbers). The correspondence between the CSC problem and the gap problem is that determining the parameter z in the former problem corresponds to determining N in the latter problem. We also show in the alpha = 1/2 case of CSC that for a certain class of primes the CSC problem can be solved deterministically in <(O)over tilde>(p(1/3)) time compared to the previous best of (O) over tilde (p(1/2)). It is empirically observed that about one out of three primes is covered by the above class. (C) 2013 Elsevier B.V. All rights reserved.

Leveraging sponsorships on the Internet: Activation, congruence, and articulation

This paper considers how the Internet can be used to leverage commercial sponsorships to enhance audience attitudes toward the sponsor. Definitions are offered that distinguish the terms leverage and activation with respect to sponsorship-linked marketing; leveraging encompasses all marketing communications collateral to the sponsorship investment, whereas activation relates to those communications that encourage interaction with the sponsor. Although activation in many instances may be limited to the immediate event-based audience, leveraging sponsorships via sponsors' Web sites enables activation at the mass-media audience level. Results of a Web site navigation experiment demonstrate that activational sponsor Web sites promote more favorable attitudes than do nonactivational Web sites. It is also shown that sponsorsponsee congruence effects generalize to the online environment, and that the effects of sponsorship articulation on audience attitudes are moderated by the commerciality of the explanation for the sponsor-sponsee relationship. Importantly, the study reveals that attitudinal effects associated with variations in leveraging, congruence, and orientation of articulation may be sustained across time.

Researching with and for young children : congruence and authenticity in methodology

Early childhood educators insist on recognition of young children’s personal agency and have identified that young children experience life more holistically than any other age group. This paper identifies the irony that, despite clear evidence that artistic expression is essential to development in young children, to date, the field of art in early childhood education has rarely embraced phenomenology which would appear to be an ideal means of illuminating young children’s experiences. We exemplify the importance of congruence and authentic artistic experience with a study into young children’s experiences of displaying their art. We describe the central features of Giorgi’s (1985a, 1985b) approach to phenomenological psychology and assert its appropriateness not only on the grounds that it is an empirical, clear and concise way of uncovering human experience, but also because it is congruent with current understandings of early childhood and reveals the children’s authentic experiences of themselves as artists.

Does 'fit' matter in nonprofits? Exploring value congruence, role stressors and employee health

The number of employees working in nonprofit organisations has grown significantly. These employees are often motivated to join these organisations by a strong desire to fulfil the particular vision and mission of that nonprofit (such as helping the community). While the effects of employee organisation value congruence on job-related attitudes are reasonably well documented, little consideration has been given to the nonprofit context and also perceptions of work stressors and health outcomes. A sample on nonprofit employees from a human services organisation (N = 181) was surveyed with results suggesting that value congruence was related to lower perceptions of role stressors. The results further revealed that value congruence was related to less favourable employee health in some circumstances. Outcomes are discussed in terms of theoretical and practical importance.

Strategies for comparing decimal numbers with the same whole-number part

The strategies employed by 130 Grade 5 Brisbane students in comparing decimal numbers which have the same whole-number part were compared with those identified in similar studies conducted in the USA, France and Israel. Three new strategies were identified. Similar to USA results, the most common comparison errors stemmed from the incorrect whole-number strategy in which length is confused with size. The findings of this present study tend to support Resnick et al.’s (1989) hypothesis that the introduction of decimal-fraction recording before common-fraction recording seems to promote better comparison of decimal numbers.

Isaac's Numbers

Short story published in the Queensland University of Technology Student Anthology, Isaac’s Numbers: New Writing from QUT, 2008.

Health promotion in palliative care : the case for conceptual congruence

This article provides a critical review of the literature relevant to the conceptual foundations of health promoting palliative care. It explores the separate emergence and evolution of palliative care and health promotion as distinct concerns in health care, and reviews the early considerations given to their potential convergence. Finally, this article examines the proposal of health promoting palliative care as a specific approach to providing end of life care through a social model of palliative care. Research is needed to explore the impact for communities, health care services and policy when such an approach is implemented within palliative care organisations.

Electron interaction with gel dosimeters : effective atomic numbers for collisional, radiative and total interaction processes

The effective atomic number is widely employed in radiation studies, particularly for the characterisation of interaction processes in dosimeters, biological tissues and substitute materials. Gel dosimeters are unique in that they comprise both the phantom and dosimeter material. In this work, effective atomic numbers for total and partial electron interaction processes have been calculated for the first time for a Fricke gel dosimeter, five hypoxic and nine normoxic polymer gel dosimeters. A range of biological materials are also presented for comparison. The spectrum of energies studied spans 10 keV to 100 MeV, over which the effective atomic number varies by 30 %. The effective atomic numbers of gels match those of soft tissue closely over the full energy range studied; greater disparities exist at higher energies but are typically within 4 %.

Least-squares congealing for large numbers of images

In this paper we pursue the task of aligning an ensemble of images in an unsupervised manner. This task has been commonly referred to as “congealing” in literature. A form of congealing, using a least-squares criteria, has been recently demonstrated to have desirable properties over conventional congealing. Least-squares congealing can be viewed as an extension of the Lucas & Kanade (LK)image alignment algorithm. It is well understood that the alignment performance for the LK algorithm, when aligning a single image with another, is theoretically and empirically equivalent for additive and compositional warps. In this paper we: (i) demonstrate that this equivalence does not hold for the extended case of congealing, (ii) characterize the inherent drawbacks associated with least-squares congealing when dealing with large numbers of images, and (iii) propose a novel method for circumventing these limitations through the application of an inverse-compositional strategy that maintains the attractive properties of the original method while being able to handle very large numbers of images.