Fundamental solution and discrete random walk model for time-space fractional diffusion equation

In this paper, we consider a time-space fractional diffusion equation of distributed order (TSFDEDO). The TSFDEDO is obtained from the standard advection-dispersion equation by replacing the first-order time derivative by the Caputo fractional derivative of order α∈(0,1], the first-order and second-order space derivatives by the Riesz fractional derivatives of orders β 1∈(0,1) and β 2∈(1,2], respectively. We derive the fundamental solution for the TSFDEDO with an initial condition (TSFDEDO-IC). The fundamental solution can be interpreted as a spatial probability density function evolving in time. We also investigate a discrete random walk model based on an explicit finite difference approximation for the TSFDEDO-IC.

Doing social media : some fundamental principles

Facebook has clocked up some 400 million registered users worldwide; Twitter has just reached the 100 million mark. Within these communities, Australians appear to be particularly active: we lead the world by spending nearly eight hours per month using social media. These figures highlight the fact that for most businesses, social media are now important for engaging with customers.

Robotics, Vision and Control : Fundamental Algorithms in MATLAB

The practice of robotics and computer vision each involve the application of computational algorithms to data. The research community has developed a very large body of algorithms but for a newcomer to the field this can be quite daunting. For more than 10 years the author has maintained two open-source MATLAB® Toolboxes, one for robotics and one for vision. They provide implementations of many important algorithms and allow users to work with real problems, not just trivial examples. This new book makes the fundamental algorithms of robotics, vision and control accessible to all. It weaves together theory, algorithms and examples in a narrative that covers robotics and computer vision separately and together. Using the latest versions of the Toolboxes the author shows how complex problems can be decomposed and solved using just a few simple lines of code. The topics covered are guided by real problems observed by the author over many years as a practitioner of both robotics and computer vision. It is written in a light but informative style, it is easy to read and absorb, and includes over 1000 MATLAB® and Simulink® examples and figures. The book is a real walk through the fundamentals of mobile robots, navigation, localization, arm-robot kinematics, dynamics and joint level control, then camera models, image processing, feature extraction and multi-view geometry, and finally bringing it all together with an extensive discussion of visual servo systems.

That's what governments do : exploring fundamental barriers to public–philanthropic interaction : the example of indigenous well-being

Decades of intervention have made variable impact on the inequality between indigenous and non-indigenous well-being across the world. Unacceptable differences in life expectancy alone mark indigenous need as an area where greater understanding of public and private funding approaches and their interaction may deliver real benefits. Both the public and the third sector have been active in trying to address the disadvantage experienced by Australia’s indigenous people. The interaction between the indigenous cause philanthropy system and the wider geopolitical landscape in Australia is revealing barriers and insights that may apply in other challenging policy terrain. The research reported here draws upon two empirical studies aimed at understanding the issues facing philanthropy in Australia,including the impact of government agency both independently and as it contrasts with philanthropy. The two different cultures are evident and two levers (greater system flexibility and closer engagement) are suggested as important in moving forward the philanthropy/government relationship in this area.

Analysis of conical-cylinder shells fundamental characteristics for structural health diagnostics

This paper describes the formulation for the free vibration of joined conical-cylindrical shells with uniform thickness using the transfer of influence coefficient for identification of structural characteristics. These characteristics are importance for structural health monitoring to develop model. This method was developed based on successive transmission of dynamic influence coefficients, which were defined as the relationships between the displacement and the force vectors at arbitrary nodal circles of the system. The two edges of the shell having arbitrary boundary conditions are supported by several elastic springs with meridional/axial, circumferential, radial and rotational stiffness, respectively. The governing equations of vibration of a conical shell, including a cylindrical shell, are written as a coupled set of first order differential equations by using the transfer matrix of the shell. Once the transfer matrix of a single component has been determined, the entire structure matrix is obtained by the product of each component matrix and the joining matrix. The natural frequencies and the modes of vibration were calculated numerically for joined conical-cylindrical shells. The validity of the present method is demonstrated through simple numerical examples, and through comparison with the results of previous researchers.

A fundamental numerical and theoretical study for the vibrational properties of nanowires

Based on the molecular dynamics (MD) simulation and the classical Euler-Bernoulli beam theory, a fundamental study of the vibrational performance of the Ag nanowire (NW) is carried out. A comprehensive analysis of the quality (Q)-factor, natural frequency, beat vibration, as well as high vibration mode is presented. Two excitation approaches, i.e., velocity excitation and displacement excitation, have been successfully implemented to achieve the vibration of NWs. Upon these two kinds of excitations, consistent results are obtained, i.e., the increase of the initial excitation amplitude will lead to a decrease to the Q-factor, and moderate plastic deformation could increase the first natural frequency. Meanwhile, the beat vibration driven by a single relatively large excitation or two uniform excitations in both two lateral directions is observed. It is concluded that the nonlinear changing trend of external energy magnitude does not necessarily mean a nonconstant Q-factor. In particular, the first order natural frequency of the Ag NW is observed to decrease with the increase of temperature. Furthermore, comparing with the predictions by Euler- Bernoulli beam theory, the MD simulation provides a larger and smaller first vibration frequencies for the clamped-clamped and clamped-free thin Ag NWs, respectively. Additionally, for thin NWs, the first order natural frequency exhibits a parabolic relationship with the excitation magnitudes. The frequencies of the higher vibration modes tend to be low in comparison to Euler-Bernoulli beam theory predictions. A combined initial excitation is proposed which is capable to drive the NW under a multi-mode vibration and arrows the coexistence of all the following low vibration modes. This work sheds lights on the better understanding of the mechanical properties of NWs and benefits the increasing utilities of NWs in diverse nano-electronic devices.

The relationship between fundamental movement skills and self-reported physical activity during Finnish junior high school

Background: Previous studies have shown that fundamental movement skills (FMS) and physical activity are related. Specifically, earlier studies have demonstrated that the ability to perform a variety of FMS increases the likelihood of children participating in a range of physical activities throughout their lives. To date, however, there have not been studies focused on the development of, or the relationship between, these variables through junior high school (that is, between the ages of 13 and 15). Such studies might provide important insights into the relationships between FMS and physical activity during adolescence, and suggest ways to design more effective physical education programmes for adolescents. Purpose: The main purposes of the study are: (1) to investigate the development of the students' self-reported physical activity and FMS from Grade 7 to Grade 9, (2) to analyse the associations among the students' FMS and self-reported physical activity through junior high school, (3) to analyse whether there are gender differences in research tasks one and/or two. Participants and setting: The participants in the study were 152 Finnish students, aged 13 and enrolled in Grade 7 at the commencement of the study. The sample included 66 girls and 86 boys who were drawn from three junior high schools in Middle Finland. Research design and data collection: Both the FMS tests and questionnaires pertaining to self-reported physical activity were completed annually during a 3 year period: in August (when the participants were in Grade 7), January (Grade 8), and in May (Grade 9). Data analysis: Repeated measures multivariate analysis of variances (MANOVAs) were used to analyse the interaction between gender and time (three measurement points) in FMS test sumscores and self-reported physical activity scores. The relationships between self-reported physical activity scores and fundamental movement skill sumscores through junior high school were analysed using Structural Equation Modelling (SEM) with LISREL 8.80 software. Findings: The MANOVA for self-reported physical activity demonstrated that both genders' physical activity decreased through junior high school. The MANOVA for the FMS revealed that the boys' FMS sumscore increased whereas the girls' skills decreased through junior high school. The SEM and squared multiple correlations revealed FMS in Grades 7 and 8 as well as physical activity in Grade 9 explained FMS in Grade 9. The portion of prediction was 69% for the girls and 55% for the boys. Additionally, physical activity measured in Grade 7 and FMS measured in Grade 9 explained physical activity in Grade 9. The portion of prediction was 12% for the girls and 29% for the boys. In the boys' group, three additional paths were found; FMS in Grade 7 explained physical activity in Grade 9, physical activity in Grade 7 explained FMS in Grade 8, and physical activity in Grade 7 explained physical activity in Grade 8. Conclusions: The study suggests that supporting and encouraging FMS and physical activity are co-related and when considering combined scores there is a greater likelihood of healthy lifelong outcomes. Therefore, the conclusion can be drawn that FMS curriculum in school-based PE is a plausible way to ensure good lifelong outcomes. Earlier studies support that school physical education plays an important role in developing students FMS and is in a position to thwart the typical decline of physical activity in adolescence. These concepts are particularly important for adolescent girls as this group reflects the greatest decline in physical activity during the adolescent period.

Does fundamental indexation lead to better risk-adjusted returns? New evidence from Australian Securities Exchange

We investigate the claims of superiority of fundamental indexation strategy over capitalisation-weighted indexation by using data for Australian Securities Exchange (ASX) listed stocks. Whilst our results are in line with the outperformance observed in other geographical markets, we find that the excess returns from fundamental indexation in Australian market are much higher. On a rolling 5-year basis, the fundamental index always outperforms the capitalisation-weighted index. Our results suggest that superior performance of fundamental indexation could not be entirely attributed to value, size, or momentum effects. The outperformance persists even after adjusting for slightly higher transaction costs related to turnover.