5,882 research outputs found

    A note on statistical averages for oscillating tableaux

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    We define a statistic called the weight of oscillating tableaux. Oscillating tableaux, a generalization of standard Young tableaux, are certain walks in Young's lattice of partitions. The weight of an oscillating tableau is the sum of the sizes of all the partitions that it visits. We show that the average weight of all oscillating tableaux of shape lambda and length 2n plus the size of lambda has a surprisingly simple formula: it is a quadratic polynomial in the size of lambda and n. Our proof via the theory of differential posets is largely computational. We suggest how the homomesy paradigm of Propp and Roby may lead to a more conceptual proof of this result and reveal a hidden symmetry in the set of perfect matchings.Comment: 7 page

    Dense Suspension Splat: Monolayer Spreading and Hole Formation After Impact

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    We use experiments and minimal numerical models to investigate the rapidly expanding monolayer formed by the impact of a dense suspension drop against a smooth solid surface. The expansion creates a lace-like pattern of particle clusters separated by particle-free regions. Both the expansion and the development of the spatial inhomogeneity are dominated by particle inertia, therefore robust and insensitive to details of the surface wetting, capillarity and viscous drag.Comment: 4 pages (5 with references), and a total of 4 figure

    The Trend of Forest Cover Removal: Case Study of Tonkolili District, Northern Sierra Leone

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    Tonkolili district, been a major district for fuel wood timber production in Sierra Leone has some environmental consequences as a result of poor forest management due to lack of updated forestry policies and regulations. This study focused on the changing trend of the forest in Tonkolili district for the pass twenty eight years since the district serves as a source of bioenergy for more than half of the population living in Freetown the capacity of Sierra Leone. The study also made a comparison using satellite imageries between 1990, 1995 ,2011 and 2012 to visualized the level at which the forest have been depleted over the course of the study period. Different data sources from government Ministries, department and agencies were analyzed using origin pro 8.5 to practically showcase the trend in form of graphs and tables. Keywords: Agency, Department, Deforestation, Forest cover, Satellite imagery, Strategies, Trend

    Attendee-Sourcing: Exploring The Design Space of Community-Informed Conference Scheduling

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    Constructing a good conference schedule for a large multi-track conference needs to take into account the preferences and constraints of organizers, authors, and attendees. Creating a schedule which has fewer conflicts for authors and attendees, and thematically coherent sessions is a challenging task. Cobi introduced an alternative approach to conference scheduling by engaging the community to play an active role in the planning process. The current Cobi pipeline consists of committee-sourcing and author-sourcing to plan a conference schedule. We further explore the design space of community-sourcing by introducing attendee-sourcing -- a process that collects input from conference attendees and encodes them as preferences and constraints for creating sessions and schedule. For CHI 2014, a large multi-track conference in human-computer interaction with more than 3,000 attendees and 1,000 authors, we collected attendees' preferences by making available all the accepted papers at the conference on a paper recommendation tool we built called Confer, for a period of 45 days before announcing the conference program (sessions and schedule). We compare the preferences marked on Confer with the preferences collected from Cobi's author-sourcing approach. We show that attendee-sourcing can provide insights beyond what can be discovered by author-sourcing. For CHI 2014, the results show value in the method and attendees' participation. It produces data that provides more alternatives in scheduling and complements data collected from other methods for creating coherent sessions and reducing conflicts.Comment: HCOMP 201
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