Now showing items 1-20 of 4984

• #### On the behavior of the solutions for linear autonomous mixed type difference equation

A class of linear autonomous mixed type difference equations is considered, and some new results on the asymptotic behavior and the stability are given, via a positive root of the corresponding characteristic equation.
• #### (Post)human Temporalities: Science Fiction in the Anthropocene

Although many SF texts proceed from the speculative premise that our species will continue to develop technologically, and hence become increasingly posthuman, our species’ continuance into even the next century is by no means assured. Rather, the Anthropocene exerts a new temporal logic; it is an age defined by an intensification of geological timescales. It is therefore noteworthy that many contemporary SF texts are ecologically interventionist and figure apocalyptic future temporalities which curtail the posthuman predilection common to the genre. This article analyses a tetrad of literary texts, written at various points during the last three decades, which summatively reveal the mutations of the (post)human temporalities figured by cli-fi texts. These four texts are: Kim Stanley Robinson’s Mars Trilogy (1992-1996); Jeanette Winterson’s The Stone Gods (2007); Michel Faber’s The Book of Strange New Things (2014); and Paolo Bacigalupi’s The Water Knife (2015).
• #### G-codes over Formal Power Series Rings and Finite Chain Rings

In this work, we define $G$-codes over the infinite ring $R_\infty$ as ideals in the group ring $R_\infty G$. We show that the dual of a $G$-code is again a $G$-code in this setting. We study the projections and lifts of $G$-codes over the finite chain rings and over the formal power series rings respectively. We extend known results of constructing $\gamma$-adic codes over $R_\infty$ to $\gamma$-adic $G$-codes over the same ring. We also study $G$-codes over principal ideal rings.

• #### A Modified Bordered Construction for Self-Dual Codes from Group Rings

We describe a bordered construction for self-dual codes coming from group rings. We apply the constructions coming from the cyclic and dihedral groups over several alphabets to obtain extremal binary self-dual codes of various lengths. In particular we find a new extremal binary self-dual code of length 78.
• #### Composite Constructions of Self-Dual Codes from Group Rings and New Extremal Self-Dual Binary Codes of Length 68

We describe eight composite constructions from group rings where the orders of the groups are 4 and 8, which are then applied to find self-dual codes of length 16 over F4. These codes have binary images with parameters [32, 16, 8] or [32, 16, 6]. These are lifted to codes over F4 + uF4, to obtain codes with Gray images extremal self-dual binary codes of length 64. Finally, we use a building-up method over F2 + uF2 to obtain new extremal binary self-dual codes of length 68. We construct 11 new codes via the building-up method and 2 new codes by considering possible neighbors.
• #### “Cautiously Optimistic” Older Parent-Carers of Adults with Intellectual Disabilities response to the Care Act 2014

This paper discusses potential opportunities for best practice in the UK that may be brought about by the Care Act (2014). Carers in the UK were given new rights within this legislation with a focus on needs led assessment. The underpinning philosophy of the Care Act is to streamline previous legislation and offer a framework for carers and people in receipt of care, to enable a more personalised approach to care and support.
• #### Understanding self-respect and its relationship to self-esteem

The concept of self-respect has received little attention in the psychological literature and is not clearly distinguished from self-esteem. The present research sought to empirically investigate the bases of self-respect by manipulating adherence to morals together with interpersonal appraisals, or task-related competence, in hypothetical scenarios (Studies 1a and 1b) and a situation participants relived (Studies 2 and 3). Participants’ levels of state self-respect and self-esteem were measured. Studies 1-3 found main effects of adherence to morals on self-respect, with self-respect mediating the effect of adherence to morals on self-esteem, but little support for competence and interpersonal appraisals directly influencing self-respect. Self-respect uniquely contributed to anticipated/felt self-esteem alongside competence or interpersonal appraisals. The pattern of results supports the conceptualisation of self-respect as a component of self-esteem associated with morally principled conduct, distinct from performance and social self-esteem. The findings have implications for our understanding of self-esteem and moral behaviour.
• #### Police officers’ and Registered Intermediaries’ use of drawing during investigative interviews with vulnerable witnesses

Attempts to enhance episodic retrieval focus largely on verbal strategies which do not always address the limited or impaired free recall ability of vulnerable witnesses. Asking a witness to draw while recalling episodic information has long been deemed an effective method of improving communication and cognitive performance. Thus far, research has revealed these effects within laboratory settings but with scarce attention paid to real-life interview practice. In this paper, we explore police officers’ and Registered Intermediaries’ use of drawing during investigative interviews with vulnerable witnesses. A sample of specialist practitioners (n=85), comprising of vulnerable witness interviewing police officers (n=50) and Registered Intermediaries (n=35) completed a self-report questionnaire. As expected, frequent use of drawing was reported by both practitioner groups, and there was a positive correlation between reported use and perceived effectiveness. There were similarities between groups in reported techniques employed when using drawing, but some differences were apparent and these were attributed to the differing functions in police and Registered Intermediary roles. Overall, a consensus between empirical research and practice is evident, but these findings warrant further exploration in order to establish whether such practice is wide-spread.

• #### A Numerical Feasibility Study of Kinetic Energy Harvesting from Lower Limb Prosthetics

With the advancement trend of lower limb prosthetics headed towards bionics (active ankle and knee) and smart prosthetics (gait and condition monitoring), there is an increasing integration of various sensors (micro-electromechanical system (MEMS) accelerometers, gyroscopes, magnetometers, strain gauges, pressure sensors, etc.), microcontrollers and wireless systems, and power drives including motors and actuators. All of these active elements require electrical power. However, inclusion of a heavy and bulky battery risks to undo the lightweight advancements achieved by the strong and flexible composite materials in the past decades. Kinetic energy harvesting holds the promise to recharge a small on-board battery in order to sustain the active systems without sacrificing weight and size. However, careful design is required in order not to over-burden the user from parasitic effects. This paper presents a feasibility study using measured gait data and numerical simulation in order to predict the available recoverable power. The numerical simulations suggest that, depending on the axis, up to 10s mW average electrical power is recoverable for a walking gait and up to 100s mW average electrical power is achievable during a running gait. This takes into account parasitic losses and only capturing a fraction of the gait cycle to not adversely burden the user. The predicted recoverable power levels are ample to self-sustain wireless communication and smart sensing functionalities to support smart prosthetics, as well as extend the battery life for active actuators in bionic systems. The results here serve as a theoretical foundation to design and develop towards regenerative smart bionic prosthetics.
• #### Numerical methods for solving space fractional partial differential equations by using Hadamard finite-part integral approach

We introduce a novel numerical method for solving two-sided space fractional partial differential equation in two dimensional case. The approximation of the space fractional Riemann-Liouville derivative is based on the approximation of the Hadamard finite-part integral which has the convergence order $O(h^{3- \alpha})$, where $h$ is the space step size and $\alpha\in (1, 2)$ is the order of Riemann-Liouville fractional derivative. Based on this scheme, we introduce a shifted finite difference method for solving space fractional partial differential equation. We obtained the error estimates with the convergence orders $O(\tau +h^{3-\alpha}+ h^{\beta})$, where $\tau$ is the time step size and $\beta >0$ is a parameter which measures the smoothness of the fractional derivatives of the solution of the equation. Unlike the numerical methods for solving space fractional partial differential equation constructed by using the standard shifted Gr\"unwald-Letnikov formula or higher order Lubich'e methods which require the solution of the equation satisfies the homogeneous Dirichlet boundary condition in order to get the first order convergence, the numerical method for solving space fractional partial differential equation constructed by using Hadamard finite-part integral approach does not require the solution of the equation satisfies the Dirichlet homogeneous boundary condition. Numerical results show that the experimentally determined convergence order obtained by using the Hadamard finite-part integral approach for solving space fractional partial differential equation with non-homogeneous Dirichlet boundary conditions is indeed higher than the convergence order obtained by using the numerical methods constructed with the standard shifted Gr\"unwald-Letnikov formula or Lubich's higer order approximation schemes.