1,354,874 research outputs found

    EM Metasurfaces [Guest Editorial]

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    Metasurfaces (MTSs) [1], [2], [3], [4], [5] are the surface equivalent of metamaterials (MTMs): artificial materials composed of subwavelength inclusions embedded in a host medium tailored to exhibit unconventional electromagnetic (EM) properties. In contrast to MTMs, which are characterized in terms of homogenized material parameters, the EM responses of MTSs are often characterized by homogenized boundary conditions (BCs). MTSs can be designed to exhibit abrupt amplitude and phase discontinuities to perform extreme wavefront transformations. Classical 'surface EMs' [3] took on fresh and exciting research directions with MTSs, revealing fascinating phenomena and new applications

    Western Faculty Profile: Dr. Vojislava Grbic

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    Dr. Vojislava Grbic is an Associate Professor in the Department of Biology at Western University. She completed her BSc in Plant Breeding and her MSc in Plant Genetics at the University of Novi Sad, before going on to complete her PhD in Genetics at the University of Wisconsin. She teaches undergraduate science courses, including Genetic Engineering and a fourth year Seminar in Genetics. Her research focuses on Arabidopsis developmental genetics, genomics of plant-pest interaction and biotechnology. Dana Nguyen, a member of the Academic Affairs Committee for WURJHNS, had the pleasure of interviewing Dr. Grbic to learn more about her career path and her research. </jats:p

    Research question: Which digital media platform will best facilitate engagement with the taonga contained in Unitec’s wharenui, Ngākau Māhaki?

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    This research investigated how mātauranga Māori, recorded histories and events associated with Unitec’s Te Noho Kotahitanga marae can be shared within a digital space. To this end, I developed a model digital repository Te Rua, which demonstrates the potential to meet the needs of Unitec’s diverse and changing learning community, while upholding the cultural integrity of Māori partners. Kaupapa Māori approaches frame the research and because of this Māori knowledge and interests in the repository project are privileged. Kaupapa Māori has also supported a robust, iterative and collaborative research practice that allowed me to establish effective engagement and participation with potential repository partners. Together, we have explored the scope of our experiences, approaches, concerns and aspirations for the project. The construction of Te Rua focused on the preferred forms of audience engagement with mātauranga Māori. My Māori research partners’ recommendations are supported by my research into current digital media platforms and tools associated with indigenous content and cultural heritage projects. As a supplement to the modeled repository Te Rua, this research project has produced a set of guidelines for the design of a more permanent digital repository. The guidelines charge institutions such as Unitec with the responsibility of upholding the taonga status of mātauranga Māori. The guidelines also reflect the overarching design goal of an online repository that ensures audience access and engagement is positively encouraged and aligns with the tikanga of the marae. Key questions I explored within this project are: what are the implications for storing taonga and mātauranga Māori within digital spaces; what are the cultural practices, values and concerns that guide the research; and how might Māori processes of engagement with and on marae be transposed to a digital space? I conclude that taonga and mātauranga Māori can be successfully transposed to digital spaces when Māori partners and content owners have an ongoing role in the design process to ensure audience access and engagement with taonga aligns with tikanga Māori

    LS-category of moment-angle manifolds, Massey products, and a generalisation of the Golod property

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    We give various bounds for the Lusternik-Schnirelmann category of moment-angle complexes and show how this relates to vanishing of Massey products in TorR[v1,,vn]+(R[K],R)\mathrm{Tor}^+_{R[v_1,\ldots,v_n]}(R[K],R). In particular, we characterise the Lusternik-Schnirelmann category of moment-angle manifolds ZK\mathcal{Z}_K over triangulated dd-spheres KK for d2d\leq 2, as well as higher dimension spheres built up via connected sum, join, and vertex doubling operations. This characterisation is given in terms of the combinatorics of KK, the cup product length of H(ZK)H^*(\mathcal{Z}_K), as well as a certain generalisation of the Golod property. Some applications include information about the category and vanishing of Massey products for moment-angle complexes over fullerenes and kk-neighbourly complexes

    n/3-neighbourly moment-angle complexes and their unstable splittings

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    Given an n/3-neighbourly simplicial complex K on vertex set [n],we show that the moment-angle complex ZK is a co-H-space if and only if K satisfies a homotopy analogue of the Golod property. This gives a sufficient condition for the integral formality of ZK

    Electromagnetic modelling of resistance spot welding system

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    In this study the modeling of a resistance spot welding (RSW) system is described. The numerical field solution based on the 3D finite formulation allows the calculation of the equivalent circuit parameters, with particular attention to the resistance of each part, and allow the estimation of external magnetic fields. Determining the equivalent circuit is crucial for the efficiency of the RSW, and assessing environmental field pollution is essential for protecting humans and equipment. Two different resistance spot welding operating conditions, AC and DC, are examined. To validate the proposed method, some experimental analyses are conducted on some parts of the RSW system and numerical and experimental results are compared

    LS-category of moment-angle manifolds, Massey products, and a generalisation of the Golod property

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    This paper is obtained as as synergy of homotopy theory, commutative algebra and combinatorics. We give various bounds for the Lusternik-Schnirelmann category of moment-angle complexes and show how this relates to vanishing of Massey products in Tor+R[v1,...,vn] (R [K], R) for the Stanley-Reisner ring R[K]. In particular, we characterise the Lusternik-Schnirelmann category of moment-angle manifolds ZK over triangulated d-spheres K for d ≤ 2, as well as higher dimension spheres built up via connected sum, join, and vertex doubling operations. This characterisation is given in terms of the combinatorics of K, the cup product length of H* (ZK), as well as a certain generalisation of the Golod property. As an application, we describe conditions for vanishing of Massey products in the case of fullerenes and k-neighbourly complexes

    On homotopy rigidity of the functor ΣΩ on co-H-spaces.

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    In this paper we study the homotopy rigidity property of the functors ΣΩ and Ω. Our main result is that both functors are homotopy rigid on simply-connected p-local finite co-H-spaces. The result is obtain by a subtle interplay of homotopy decomposition techniques, modular representation theory and the counting principle

    The degrees of maps between (n − 1)-connected (2n + 1)-dimensional manifolds and Poincar ́e complexes and their applications

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    In this paper using homotopy theoretical methods, we study degrees of maps between (n − 1)-connected (2n + 1)-dimensional Poincare complexes. Necessary and sufficient algebraic conditions for the existence of mapping degrees between such Poincare complexes are established. These conditions allow us to construct explicitly, up to homotopy, all maps with a given degree.As an application of mapping degrees, we consider maps between (n − 1)-connected (2n+1)-Poincare complexes with degree ±1, and give a sufficient condition when those are homotopy equivalences. This resolves a homotopy theoretical analogue of Novikov’s question when a map between manifolds of degree 1 is a homeomorphism. For low n, we classify, up to homotopy, torsion free (n − 1)-connected (2n + 1)-dimensional Poincare complexes

    The cohomology of free loop spaces of rank 2 flag manifolds

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    By applying Gr\"{o}bner basis theory to spectral sequences algebras, we develop a new computational methodology applicable to any Leray-Serre spectral sequence for which the cohomology of the base space is the quotient of a finitely generated polynomial algebra. We demonstrate the procedure by deducing the cohomology of the free loop space of flag manifolds, presenting a significant extension over previous knowledge of the topology of free loop spaces. A complete flag manifold is the quotient of a Lie group by its maximal torus. The rank of a flag manifold is the dimension of the maximal torus of the Lie group. The rank 2 complete flag manifolds are SU(3)/T2SU(3)/T^2, Sp(2)/T2Sp(2)/T^2, Spin(4)/T2Spin(4)/T^2, Spin(5)/T2Spin(5)/T^2 and G2/T2G_2/T^2. In this paper we calculate the cohomology of the free loop space of the rank 2 complete flag manifolds
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