4,519 research outputs found

    Self-healing metal coordinated hydrogels using nucleotide ligands

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    A supramolecular gel formed by coordination of Zn2+ with adenosine monophosphate (AMP) is reported. The adenine base, the monophosphate, and Zn2+ are all important for gel formation. Mechanically disrupted gels can re-form upon centrifugation; applications of this gel for guest-molecule entrapment are explored.Beijing Higher Education Young Elite Teacher Project || ETP0520 Fundamental Research Funds for the Central Universities || YS1407 China Scholarship Council || Natural Sciences and Engineering Research Council |

    On Determinants of cyclotomic matrices involving Jacobi sums

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    In this paper, by using Cauchy-Binet formula and charcter sums over finite fields, we evaluate determinants of two cyclotomic matrices involving Jacobi sums J(Ο‡i,Ο‡j)J(\chi^i,\chi^j). For example, we show that det⁑[J(Ο‡i,Ο‡j)]1≀i,j≀pβˆ’2=(pβˆ’1)pβˆ’3,\det[J(\chi^i,\chi^j)]_{1\le i,j\le p-2}=(p-1)^{p-3}, and that det⁑[J(Ο‡2i,Ο‡2j)]1≀i,j≀(pβˆ’3)/2=p+(βˆ’1)p+124(pβˆ’12)pβˆ’52(βˆ’1)p+12,\det [J(\chi^{2i},\chi^{2j})]_{1\le i,j\le (p-3)/2} =\frac{p+(-1)^{\frac{p+1}{2}}}{4} \left(\frac{p-1}{2}\right)^{\frac{p-5}{2}}(-1)^{\frac{p+1}{2}}, where pp is an odd prime and Ο‡\chi is a generator of the group of all multiplicative characters of Fp\mathbb{F}_p.Comment: This is a preliminary versio

    Monad: Towards Cost-effective Specialization for Chiplet-based Spatial Accelerators

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    Advanced packaging offers a new design paradigm in the post-Moore era, where many small chiplets can be assembled into a large system. Based on heterogeneous integration, a chiplet-based accelerator can be highly specialized for a specific workload, demonstrating extreme efficiency and cost reduction. To fully leverage this potential, it is critical to explore both the architectural design space for individual chiplets and different integration options to assemble these chiplets, which have yet to be fully exploited by existing proposals. This paper proposes Monad, a cost-aware specialization approach for chiplet-based spatial accelerators that explores the tradeoffs between PPA and fabrication costs. To evaluate a specialized system, we introduce a modeling framework considering the non-uniformity in dataflow, pipelining, and communications when executing multiple tensor workloads on different chiplets. We propose to combine the architecture and integration design space by uniformly encoding the design aspects for both spaces and exploring them with a systematic ML-based approach. The experiments demonstrate that Monad can achieve an average of 16% and 30% EDP reduction compared with the state-of-the-art chiplet-based accelerators, Simba and NN-Baton, respectively.Comment: To be published in ICCAD 202
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