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    Embedding sustainability in design education: the case of design project on systemic changes for sustainable businesses based on upcycling

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    Sustainable design education has become a prevalent practice in design education. Ramirez’s (2007) worldwide survey shows that the majority of the programmes have either compulsory or optional modules on sustainable design. In particular, projects in sustainable design studio modules often deal with social or environmental sustainability issues with little attention to the practice of design for systemic changes for sustainable businesses. This paper aims to provide one such case: design project on how to scale-up sustainable businesses based on upcycling through systemic changes. A half-day student design workshop was co-planned and organised by De Montfort University and the University of Liverpool. Second-year undergraduate students in Industrial Design, University of Liverpool participated as part of Product Development 2 module. Throughout the workshop, participating students learned different approaches to sustainable design, production and consumption, challenges faced by upcycling-based businesses in the UK, and how to generate and develop ideas, concepts and system maps to resolve complex design problems involving multiple stakeholders

    Construction of class fields over cyclotomic fields

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    Let ℓ\ell and pp be odd primes. For a positive integer μ\mu let kμk_\mu be the ray class field of k=Q(e2πi/ℓ)k=\mathbb{Q}(e^{2\pi i/\ell}) modulo 2pμ2p^\mu. We present certain class fields KμK_\mu of kk such that kμ≤Kμ≤kμ+1k_\mu\leq K_\mu\leq k_{\mu+1}, and find the degree of Kμ/kμK_\mu/k_\mu explicitly. And we also construct, in the sense of Hilbert, primitive generators of the field KμK_\mu over kμk_\mu by using Shimura's reciprocity law and special values of theta constants
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