3,594 research outputs found

    The Magnus–Derek game

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    AbstractWe introduce a new combinatorial game between two players: Magnus and Derek. Initially, a token is placed at position 0 on a round table with n positions. In each round of the game Magnus chooses the number of positions for the token to move, and Derek decides in which direction, + (clockwise) or − (counterclockwise), the token will be moved. Magnus aims to maximize the total number of positions visited during the course of the game, while Derek aims to minimize this quantity.We define f∗(n) to be the eventual size of the set of visited positions when both players play optimally. We prove a closed form expression for f∗(n) in terms of the prime factorization of n, and provide algorithmic strategies for Magnus and Derek to meet this bound.We note the relevance of the game for a mobile agent exploring a ring network with faulty sense of direction, and we pose variants of the game for future study

    Fostering energy awareness in residential homes using mobile devices

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    There is considerable global effort being made towards identifying ways of reducing energy consumption to cope with growing demands. Although there is potential for energy saving in many sectors, our focus is on reducing energy consumption in residential homes. We have developed a system which combines home automation and energy usage monitoring technologies. The system offers a range of tools designed for mobile devices to assist users with monitoring their energy usage and provides mechanisms for setting up and controlling home appliances to conserve energy. In this paper we describe our system and a user study we have conducted to evaluate its effectiveness. The findings of the study show the potential benefits of this type of mobile technology

    2005 Press Release

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    2005 Men\u27s Soccer Press Release, George Fox Universit

    The Quill -- March 25, 1975

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    Maine Campus November 19 1997

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    The Cowl - v.79 - n.4 - Sep 25, 2014

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    The Cowl - student newspaper of Providence College. Vol 79 - No. 4 - September 25, 2014. 24 pages

    Basketball Media Guide, 1993-94

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    Suffolk Journal, vol. 72, no. 23, 4/18/2012

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    https://dc.suffolk.edu/journal/1541/thumbnail.jp

    The Cowl - v. 70 - n. 5 - Sept 29, 2005

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    The Cowl - student newspaper of Providence College. Volume 70 - Number 5 - September 29, 2005. 28 pages
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