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MATRIX is Australia's international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-2 weeks in duration. This book is a scientific record of the 24 programs held at MATRIX in 2021-2022, including tandem workshops with Mathematisches Forschungsinstitut Oberwolfach (MFO), with Research Institute for Mathematical Sciences Kyoto University (RIMS), and with Sydney Mathematical Research Institute (SMRI).

Efficiency is a crucial concern across computing systems, from the edge to the cloud. Paradoxically, even as the latencies of bottleneck components such as storage and networks have dropped by up to four orders of magnitude, software path lengths have progressively increased due to overhead from the very frameworks that have revolutionized the pace of information technology. Such overhead can be severe enough to overshadow the benefits from switching to new technologies like persistent memory and low latency interconnects. Resource Proportional Software Design for Emerging Systems introduces resource proportional design (RPD) as a principled approach to software component and system development that counters the overhead of deeply layered code without removing flexibility or ease of development. RPD makes resource consumption proportional to situational utility by adapting to diverse emerging needs and technology systems evolution. Highlights: Analysis of run-time bloat in deep software stacks, an under-explored source of power-performance wastage in IT systems Qualitative and quantitative treatment of key dimensions of resource proportionality Code features: Unify and broaden supported but optional features without losing efficiency Technology and systems evolution: Design software to adapt with changing trade-offs as technology evolves Data processing: Design systems to predict which subsets of data processed by an (analytics or ML) application are likely to be useful System wide trade-offs: Address interacting local and global considerations throughout software stacks and hardware including cross-layer co-design involving code, data and systems dimensions, and non-functional requirements such as security and fault tolerance Written from a systems perspective to explore RPD principles, best practices, models and tools in the context of emerging technologies and applications This book is primarily geared towards practitioners with some advanced topics for researchers. The principles shared in the book are expected to be useful for programmers, engineers and researchers interested in ensuring software and systems are optimized for existing and next generation technologies. The authors are from both industry (Bhattacharya and Voigt) and academic (Gopinath) backgrounds.

This proceedings set contains selected Computer, Information and Education Technology related papers from the 2015 International Conference on Computer, Intelligent Computing and Education Technology (CICET 2015), to be held April 11-12, 2015 in Guilin, P.R. China. The proceedings aims to provide a platform for researchers, engineers and academics

This volume presents some of the longstanding research problems of Geometry and Topology. It includes new aspects of mathematical research problems that will be of greatest value to all scientists working within these areas.