11,354 research outputs found

    Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual q-Krawtchouk Polynomials

    Full text link
    Let Γ\Gamma be a dual polar graph with diameter D3D \geqslant 3, having as vertices the maximal isotropic subspaces of a finite-dimensional vector space over the finite field Fq\mathbb{F}_q equipped with a non-degenerate form (alternating, quadratic, or Hermitian) with Witt index DD. From a pair of a vertex xx of Γ\Gamma and a maximal clique CC containing xx, we construct a 2D2D-dimensional irreducible module for a nil-DAHA of type (C1,C1)(C^{\vee}_1, C_1), and establish its connection to the generalized Terwilliger algebra with respect to xx, CC. Using this module, we then define the non-symmetric dual qq-Krawtchouk polynomials and derive their recurrence and orthogonality relations from the combinatorial points of view. We note that our results do not depend essentially on the particular choice of the pair xx, CC, and that all the formulas are described in terms of qq, DD, and one other scalar which we assign to Γ\Gamma based on the type of the form.Comment: an extended abstract of this work appeared in proceedings for FPSAC 201

    Systematic Procedures to Determine Incentive / Disincentive Dollar Amounts for Highway Transportation Construction Projects, Research Report 11-22

    Get PDF
    The Federal Highway Administration has encouraged state transportation agencies to implement Incentive/Disincentive (I/D) contracting provisions for early project completion. Although general guidelines to determine the I/D dollar amount for a project are available, there is no systematic and practical tool in use to determine optimum I/D dollar amounts for I/D projects considering road user cost, agency cost, contractor’s acceleration cost, and contractor’s cost savings. Therefore, systematic procedures and models to assist project planners and engineers in determining an appropriate I/D dollar amount are essential to optimizing the use of I/D contracting techniques. This research performed a literature review related to the determination of daily I/D dollar amounts. Caltrans I/D project data were then collected and evaluated. Project performance data were analyzed with regard to project outcomes in two key areas: project time and project cost. Statistical analyses were performed to identify the impact of I/D dollar amount on project time and cost performance. Using Construction Analysis for Pavement Rehabilitation Strategies (CA4PRS) software, Caltrans I/D projects were analyzed to introduce three different levels of CA4PRS implementations for the I/D dollar amounts calculation. Based on the results of the I/D project case studies, the systematic procedures to determine appropriate I/D dollar amounts were developed using the CA4PRS schedule-traffic-cost integration process for the new I-5 rehabilitation project in LA. The proposed procedures were applied to a typical highway pavement rehabilitation project using HMA (hot mix asphalt) materials. Further research is needed to apply the proposed model to other types of highway projects, with adjustment for the type of project

    Does Source of Income Affect Risk and Intertemporal Choices?

    Get PDF
    Publisher PD