Insight into the fractional calculus via a spreadsheet

Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins by stating a naive question from a student in a paper by Larson (1974) and establishes, for polynomials and exponential functions, that they can be deformed into their derivative using the μ-th order fractional derivatives for 0<μ<1. Through the power of Excel we illustrate the continuous deformations dynamically through conditional formatting. Some applications are discussed and a connection made to mathematics education.

Spreadsheet Conditional Formatting Illuminates Investigations into Modular Arithmetic

Modular arithmetic has often been regarded as something of a mathematical curiosity, at least by those unfamiliar with its importance to both abstract algebra and number theory, and with its numerous applications. However, with the ubiquity of fast digital computers, and the need for reliable digital security systems such as RSA, this important branch of mathematics is now considered essential knowledge for many professionals. Indeed, computer arithmetic itself is, ipso facto, modular. This chapter describes how the modern graphical spreadsheet may be used to clearly illustrate the basics of modular arithmetic, and to solve certain classes of problems. Students may then gain structural insight and the foundations laid for applications to such areas as hashing, random number generation, and public-key cryptography.

Mechanistic insights into RAD51-associated protein 1 (RAD51AP1) action in homologous DNA repair

Homologous recombination catalyzed by the RAD51 recombinase is essential for maintaining genome integrity upon the induction of DNA double strand breaks and other DNA lesions. By enhancing the recombinase activity of RAD51, RAD51AP1 (RAD51-associated protein 1) serves a key role in homologous recombination-mediated chromosome damage repair. We show here that RAD51AP1 harbors two distinct DNA binding domains that are both needed for maximal protein activity under physiological conditions. We have finely mapped the two DNA binding domains in RAD51AP1 and generated mutant variants that are impaired in either or both of the DNA binding domains. Examination of these mutants reveals that both domains are indispensable for RAD51AP1 function in cells. These and other results illuminate the mechanistic basis of RAD51AP1 action in homologous DNA repair.

Gene electrotransfer into murine skeletal muscle: A systematic analysis of parameters for long-term gene expression

Skeletal muscle is an attractive target tissue for delivery of therapeutic genes, since it is well vascularized, easily accessible, and has a high capacity for protein synthesis. For efficient transfection in skeletal muscle, several protocols have been described, including delivery of low voltage electric pulses and a combination of high and low voltage electric pulses. The aim of this study was to determine the influence of different parameters of electrotransfection on short-term and long-term transfection efficiency in murine skeletal muscle, and to evaluate histological changes in the treated tissue. Different parameters of electric pulses, different time lags between plasmid DNA injection and application of electric pulses, and different doses of plasmid DNA were tested for electrotransfection of tibialis cranialis muscle of C57BI/6 mice using DNA plasmid encoding green fluorescent protein (GFP). Transfection efficiency was assessed on frozen tissue sections one week after electrotransfection using a fluorescence microscope and also noninvasively, followed by an in vivo imaging system using a fluorescence stereo microscope over a period of several months. Histological changes in muscle were evaluated immediately or several months after electrotransfection by determining infiltration of inflammatory mononuclear cells and presence of necrotic muscle fibers. The most efficient electrotransfection into skeletal muscle of C57BI/6 mice in our experiments was achieved when one high voltage (HV) and four low voltage (LV) electric pulses were applied 5 seconds after the injection of 30 μg of plasmid DNA. This protocol resulted in the highest short-term as well as long-term transfection. The fluorescence intensity of the transfected area declined after 2-3 weeks, but GFP fluorescence was still detectable 18 months after electrotransfection. Extensive inflammatory mononuclear cell infiltration was observed immediately after the electrotransfection procedure using the described parameters, but no necrosis or late tissue damage was observed. This study showed that electric pulse parameters, time lag between the injection of DNA and application of electric pulses, and dose of plasmid DNA affected the duration of transgene expression in murine skeletal muscle. Therefore, transgene expression in muscle can be controlled by appropriate selection of electrotransfection protocol.

Onset of Mediterranean outflow into the North Atlantic

Sediments cored along the southwestern Iberian margin during Integrated Ocean Drilling Program Expedition 339 provide constraints on Mediterranean Outflow Water (MOW) circulation patterns from the Pliocene epoch to the present day. After the Strait of Gibraltar opened (5.33 million years ago), a limited volume of MOW entered the Atlantic. Depositional hiatuses indicate erosion by bottom currents related to higher volumes of MOW circulating into the North Atlantic, beginning in the late Pliocene. The hiatuses coincide with regional tectonic events and changes in global thermohaline circulation (THC). This suggests that MOW influenced Atlantic Meridional Overturning Circulation (AMOC), THC, and climatic shifts by contributing a component of warm, saline water to northern latitudes while in turn being influenced by plate tectonics.

Efficient extension of standard Schnorr/RSA signatures into Universal Designated-Verifier Signatures

Universal Designated-Verifier Signature (UDVS) schemes are digital signature schemes with additional functionality which allows any holder of a signature to designate the signature to any desired designated-verifier such that the designated-verifier can verify that the message was signed by the signer, but is unable to convince anyone else of this fact. Since UDVS schemes reduce to standard signatures when no verifier designation is performed, it is natural to ask how to extend the classical Schnorr or RSA signature schemes into UDVS schemes, so that the existing key generation and signing implementation infrastructure for these schemes can be used without modification. We show how this can be efficiently achieved, and provide proofs of security for our schemes in the random oracle model.

How to strengthen any weakly unforgeable signature into a strongly unforgeable signature

Standard signature schemes are usually designed only to achieve weak unforgeability – i.e. preventing forgery of signatures on new messages not previously signed. However, most signature schemes are randomised and allow many possible signatures for a single message. In this case, it may be possible to produce a new signature on a previously signed message. Some applications require that this type of forgery also be prevented – this requirement is called strong unforgeability. At PKC2006, Boneh Shen and Waters presented an efficient transform based on any randomised trapdoor hash function which converts a weakly unforgeable signature into a strongly unforgeable signature and applied it to construct a strongly unforgeable signature based on the CDH problem. However, the transform of Boneh et al only applies to a class of so-called partitioned signatures. Although many schemes fall in this class, some do not, for example the DSA signature. Hence it is natural to ask whether one can obtain a truly generic efficient transform based on any randomised trapdoor hash function which converts any weakly unforgeable signature into a strongly unforgeable one. We answer this question in the positive by presenting a simple modification of the Boneh-Shen-Waters transform. Our modified transform uses two randomised trapdoor hash functions.

Serial explant culture provides novel insights into the potential location and phenotype of corneal endothelial progenitor cells

The routine cultivation of human corneal endothelial cells, with the view to treating patients with endothelial dysfunction, remains a challenging task. While progress in this field has been buoyed by the proposed existence of progenitor cells for the corneal endothelium at the corneal limbus, strategies for exploiting this concept remain unclear. In the course of evaluating methods for growing corneal endothelial cells, we have noted a case where remarkable growth was achieved using a serial explant culture technique. Over the course of 7 months, a single explant of corneal endothelium, acquired from cadaveric human tissue, was sequentially seeded into 7 culture plates and on each occasion produced a confluent cell monolayer. Sample cultures were confirmed as endothelial in origin by positive staining for glypican-4. On each occasion, small cells, closest to the tissue explant, developed into a highly compact layer with an almost homogenous structure. This layer was resistant to removal with trypsin and produced continuous cell outgrowth during multiple culture periods. The small cells gave rise to larger cells with phase-bright cell boundaries and prominent immunostaining for both nestin and telomerase. Nestin and telomerase were also strongly expressed in small cells immediately adjacent to the wound site, following transfer of the explant to another culture plate. These findings are consistent with the theory that progenitor cells for the corneal endothelium reside within the limbus and provide new insights into expected expression patterns for nestin and telomerase within the differentiation pathway.

Taking travel journalism seriously : suggestions for scientific inquiry into a neglected genre

The practice of travel journalism is still largely neglected as a field of inquiry for communication and journalism scholars, despite the fact that news media are increasingly focussing on softer news. Lifestyle sections of newspapers, for example, have been growing in size over the past few decades, and given corresponding cutbacks in international news reporting, particularly travel journalism is now playing a growing role in the representation of ‘the Other’. While this need for research into the field has been identified before, very little actual investigation of travel journalism has been forthcoming. This paper reviews the current state of research by reviewing what studies have been conducted into the production, content and reception of travel journalism. It argues that while there does now exist a very small number of studies, these have often been conducted in isolation and with significant limitations, and much remains to be done to sufficiently explore this sub-field of journalism. By analysing what we do know about travel journalism, the paper suggests a number of possibilities in each area on how we can advance this knowledge. Above all, it contends that dated prejudices against the field have to be put to the side, and the practice of travel journalism needs to be taken seriously in order to do its growing importance justice.

Coming into an inheritance : family support and Chinese heritage language learning

The critical role that family plays in Chinese Heritage Language learning has gained increasing attention from psychological, political and sociological scholarship. Guided by Bourdieu’s notion of ‘habitus’, our mixed methods sociological study firstly addresses the need for quantitative evidence on the relationship between family support and Chinese Heritage Language proficiency through a survey of 230 young Chinese Australians; and then explores the dynamics of family support of Chinese Heritage Language learning through multiple interviews with five participants. The interview data demonstrate ongoing intergenerational reproduction of Chinese Heritage Language through various forms of family inculcation. Learners’ transition from resistance to commitment is a focus of the analysis. Extant research struggles to theorise the reasons behind this transition. We offer a Bourdieusian explanation that construes the transition as ‘habitus realisation’. Our study has implications for Chinese Heritage Language researchers, Chinese immigrant parents and Chinese teachers.

Consumers persepctive on pharmacists integration into private primary healthcare clinics in Malaysia

Background: Pharmacists are considered medication experts but are underutilised mainly at the periphery of the primary healthcare team. General medical practitioners (GPs) in Malaysian private healthcare clinics are granted rights to prescribe and dispense medications, thus furhter limiting pharmacists involvement in ensuring safe use of medicines. The integration of pharmacist into private primary healthcare clinics has the potential to reduce medication-relation problems. Objective: To explore the views of consumers on the integration of pharmacists within private primary healthcare clinics in Malaysia. Method: A purposive sample of healthcare consumers in Selangor and Kuala Lumpur, Malaysia were invited to participate in focus groups and semi-structured interviews. Sessions were audio recorded and transcribed verbatim and thematically analysed using NVivo 10. Results: A total of 24 healthcare consumers particpated in two focus groups and six semi-structured interviews. Four major themes were identified: (1) Pharmacists role viewed mainly as supplying medications, (2) Readiness to accept pharmacists in private healthcare clinics, (3) Willingness to pay for pharmacy services, and (4) Concerns about GPs resistance to pharmacist integration. Consumers felt that a pharmacist integrated into private prumary healthcare clinics could offer potential benefits such as counter-checking prescriptions to ensure correct medication is supplied and counselling consumers on their medications and the potential side effects. The potential to increase in costs to consumers and GPs reluctance were perceived as barriers to integration. Conclusion: This study provides insights into consumers perspectives on the roles of pharmacists within private primary healthcare clinics in Malaysia. Consumers generally supported pharmacist integration into private primary healthcare clinics. However, for pharmacists to expand their capacity in providing integrated and collaborative primary care services to consumers, barriers to pharmacist integration need to be addressed.

Networking iPads into Preschool Spaces

This chapter explores preschools as networked spaces into which iPads were introduced, which involved the mediation of complex relationships between children and adults, physical and virtual technology and other materials like toys, play spaces, art materials and books. The chapter aims to explain how these human and non-human ‘actors’ come to coexist and lead to the development of literacy and creativity in specific ways. This approach particularly draws attention to specific challenges faced by the teachers as they negotiated a range of complex demands and obstacles to make the iPads available to the children for play and learning.

No worries – we’ll take care of it!! An examination into managing equality and inclusivity in multicultural Australia

This paper explores the various paths to equality and inclusivity developed in the past 40 years within the Australian workplace with a view to critically examining their capability of addressing diversity and equality within the cultural needs of a unique society. A society which struggles to overcome the tyranny of distance and a colonial past as it takes its place in the world as a global 1st world economy country in what is often considered ‘the global north’ despite its geographical location. Findings indicate that despite various legislative and non-legislative approaches including anti-discrimination; affirmative action; equal opportunity; managing diversity and more recently gender equality, the individual members of the many diverse groups in the Australian workplace still experience inferior work conditions and work opportunities.

The Habitual Rhythms of Becoming-Involved: Insights into Participation Experiences in Urban Spaces by Children with Diverse Mobility

This chapter reports on a study that reveals the essence of participation in urban spaces by ten children who live with various physical conditions: Muscular Dystrophy, Cerebral Palsy, and Autoimmune Rheumatic Diseases. These conditions affect muscle and movement differently resulting in diverse ways in which children move through space (personal mobility). The children at the time of the research were 9-12 years of age residing in South-east Queensland, Australia. The approach and methods selected for this study, interpretive phenomenological inquiry and grounded theory, were chosen for their capacity to capture the complexity and multiple interactions of the child’s urban living. The confronting and poignant accounts by children and their families of their experiences produced a new way of understanding the concept of participation, as a ‘journey of becoming involved.’ Their accounts of performing everyday routines (e.g. leaving home, getting in and out of the car, and entering places) in urban spaces (neighbourhood streets, schools, open spaces, shopping centres, and hospitals) revealed differences in the way settings were experienced. These differences were associated with the interplay between the body, space and context. Where interplays were problematic, explicit decisions about children’s involvement were made. These decisions were described in terms of ‘avoid going’, ‘pick and choose’, ‘discontinue’, ‘accept’, or ‘contest.’ What these decisions mean is some spaces are avoided, some journeys are discontinued, and some barriers encountered in journeys are normalised as everyday experiences, i.e. ‘tolerable discrimination’. These actions resulted in experiences of non-participation or partial–tokenistic participation. The key substantive contribution of the research lies in the identification of points in children’s journeys that shape participation experience. These points identify where future interventions in policy, programming and design can be made to make real and sustaining changes to lives of children and their families in geographies crucial to urban living.

Visible-light-induced selective photocatalytic oxidation of benzylamine into imine over supported Ag/AgI photocatalysts

Titanate nanotubes (TNT) supported AgI nanoparticles were prepared by a two-step method: the deposition of Ag2O on titanate nanotubes from AgNO3 solution and the subsequent I-adsorption process from NaI solution. It is found that the supported AgI samples exhibited excellent photoactivity for the selective oxidation of benzylamine to the corresponding imine under visible light illumination and the photocatalyst can be used for many times without apparent activity loss. X-ray diffraction studies, transmission electron microscopy, diffuse reflectance UV-Vis spectroscopy and nitrogen adsorption measurements were used for the characterization of the as-prepared and recycled AgI samples. It is found that under visible light irradiation, AgI partially decomposed to produce Ag/AgI nanostructure and thus stabilized. The photoactivity of supported Ag/AgI for the selective oxidation of benzylamine was studied in terms of the light intensity, wavelength, temperature and substituent. It is proposed that the formation of plasmonic Ag nanoparticles should be responsible for the high activity and selectivity.