In search of Robbins stability

We speculate on whether a certain p-adic stability phenomenon, observed by David Robbins empirically for Dodgson condensation, appears in other nonlinear recurrence relations that "unexpectedly" produce integer or nearly-integer sequences. We exhibit an example (number friezes) where this phenomenon provably occurs.Comment: 10 pages; to appear in the David Robbins memorial issue of Advances in Applied Mathematic

Synthesis and Characterization of Tetravalent Cation Substituted Mn-Zn Ferrite Suitable for High Frequency Applications

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Structural, optical and nanomechanical properties of (1 1 1) oriented nanocrystalline ZnTe thin films

Structural, optical and nanomechanical properties of nanocrystalline Zinc Telluride (ZnTe) films of thickness upto 10 microns deposited at room temperature on borosilicate glass substrates are reported. X-ray diffraction patterns reveal that the films were preferentially oriented along the (1 1 1) direction. The maximum refractive index of the films was 2.74 at a wavelength of 2000 nm. The optical band gap showed strong thickness dependence. The average film hardness and Young’s modulus obtained from loaddisplacement curves and analyzed by Oliver-Pharr method were 4 and 70 GPa respectively. Hardness of (1 1 1) oriented ZnTe thin films exhibited almost 5 times higher value than bulk. The studies show clearly that the hardness increases with decreasing indentation size, for indents between 30 and 300 nm in depth indicating the existence of indentation size effect. The coefficient of friction for these films as obtained from the nanoscratch test was ∼0.4.Financial support in the form of fellowships to MSRNK and SK from the ACRHEM project of DRDO is acknowledged

A Holistic Social Constructionist perspective to Enterprise Education

Purpose – Drawing on the Gestalt approach this article proposes a holistic framework for enterprise education (EE) research based on Social Constructionism, illustrating how the latter supports research into experiential learning in EE in 7 UK Higher Education (HE) pharmacy schools. Design/ Methodology/ Approach – This paper is based on a qualitative empirical study involving educators in UK Higher Education Institution (HEI) pharmacy schools in semi-structured interviews, and investigates the delivery of EE through experiential learning approaches. Social Constructionism is proposed as a suitable underlying philosophical paradigm. Findings – A Social Constructionism paradigm, which adopts relative realism ontology, transactional epistemology, and Gadamer’s Hermeneutic Phenomenology, offers a relevant, multi-perspectival philosophical foundation for EE research, supporting transactional relationships within contexts of multiple possibilities. Research limitations/implications – Social Constructionism does not necessarily support the individualistic paradigm, as advocated by Constructivists; and the values associated with the former encourage a more collaborative and cooperative approach different from the latter. Practical implications –The paper supports the understanding that applying experiential learning through inter-disciplinary and inter-professional learning is regarded as an approach beneficial for educators, institutions and learners, within the context of EE. Originality/ value – This paper offers a holistic conceptual framework of Social Constructionism that draws on the ‘Gestalt Approach’, and highlights the harmony between the ontological, epistemological and methodological underpinnings of Social Constructionism. The paper demonstrates the relevance of the proposed framework in EE research within the context of an empirical study, which is different in that it focuses on the delivery aspect of EE by considering the views of the providers (educators), an hitherto under-researched area. Paper type – Research paper Key words: Enterprise education, research philosophy, Social Constructionism, relative realism ontology, transactional epistemology, Gadamer’s Hermeneutic Phenomenology, Gestalt approach