735 research outputs found

    Non-orientable fundamental surfaces in lens spaces

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    We give a concrete example of an infinite sequence of (pn,qn)(p_n, q_n)-lens spaces L(pn,qn)L(p_n, q_n) with natural triangulations T(pn,qn)T(p_n, q_n) with pnp_n taterahedra such that L(pn,qn)L(p_n, q_n) contains a certain non-orientable closed surface which is fundamental with respect to T(pn,qn)T(p_n, q_n) and of minimal crosscap number among all closed non-orientable surfaces in L(pn,qn)L(p_n, q_n) and has n2n-2 parallel sheets of normal disks of a quadrilateral type disjoint from the pair of core circles of L(pn,qn)L(p_n, q_n). Actually, we can set p0=0,q0=1,pk+1=3pk+2qkp_0=0, q_0=1, p_{k+1}=3p_k+2q_k and qk+1=pk+qkq_{k+1}=p_k+q_k.Comment: 19 pages, 14 figure

    Cardiac-Activity Measures for Assessing Airport Ramp-Tower Controller's Workload

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    Heart rate (HR) and heart rate variability (HRV) potentially offer objective, continuous, and non-intrusive measures of human-operator's mental workload. Such measurement capability is attractive for workload assessment in complex laboratory simulations or safety-critical field testing. The present study compares mean HR and HRV data with self-reported subjective workload ratings collected during a high-fidelity human-in-the-loop simulation of airport ramp traffic control operations, which involve complex cognitive and coordination tasks. Mean HR was found to be weakly sensitive to the workload ratings, while HRV was not sensitive or even contradictory to the assumptions. Until more knowledge on stress response mechanisms of the autonomic nervous system is obtained, it is recommended that these cardiac-activity measures be used with other workload assessment tools, such as subjective measures

    Evaluation of a Dynamic Weather-Avoidance Rerouting Tool in Adjacent-Center Arrival Metering

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    Dynamic Reroutes for Arrivals in Weather (DRAW) is a NASA-developed decision-support tool for Traffic Management Coordinators (TMCs) at the Federal Aviation Administration's Air Route Traffic Control Centers ("Centers"). DRAW proposes weather-avoidance reroutes for en route arrival flights subject to metering restrictions when transitioning into a busy terminal airspace. The prior DRAW study demonstrated that TMCs' use of DRAW promotes earlier reroutes of arrivals, and reduces the number of routes conflicting with weather in the Center. The present paper focuses on how DRAW benefits metering delivery accuracy when schedule freeze horizon distance was altered. A human-in-the-loop simulation was conducted at NASA Ames Research Center in October-November 2018, where retired TMCs and controllers performed simulated metering operations for southeast arrivals through the Atlanta and Jacksonville Centers to the Hartsfield-Jackson Atlanta International Airport during convective weather periods. Results demonstrated that DRAW use reduced the frequency of manual adjustments of Scheduled Times of Arrival and lowered TMC workload. DRAW use also made the metering accuracy, the number of reroute amendments after the freeze horizon, and the en route sector controller workload more robust to the effect of different freeze horizon distance
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