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Washington DC Area Mathematica Special Interest Group
Mathematica SIG (http://web.me.com/hrbishop.pmsi) MEETING 16 April 2010, 7:30 am Science Applications International Corporation (SAIC) 8301 Greensboro Drive McLean VA Southern Corner of Westpark Drive and Greensboro Drive Agenda 1. Prepared Talks Analytical Models Quantify Military Benefit of Collaborative Search, by Mel Friedman (Note: Go to http://web.me.com/hrbishop.pmsi/DCSIG.m/Gems_2.html, the Collaborative Search Models link, for this paper) ABSTRACT. Analytical Model 1 describes how long it takes the first observer to find a target when multiple observers search a field of regard using imagery provided by a single sensor. This model, developed using probability concepts, suggests considerable benefits accrue from collaborative search: when Pinf is near one and with ten observers the mean detection time (in reduced time) is reduced by almost an order of magnitude when compared to that of a single observer. To get the instant of detection in clock time we add the delay time td to the reduced time. Empirical fits for td and Tau are also given in the paper. Model 1 was verified/validated by computer simulation and perception experiments. Here ten observers searched sixty computer generated fields of regard (each one was 60 x 20 degrees) for a single military vehicle. Analytical Model 2 describes how the probability of target acquisition increases with the number of observers. The results of Model 2 suggest that probability of target acquisition increases considerably when multiple observers independently search a field of regard. Model 2 was verified by simulation but not by perception experiment. Models 1 and 2 are pertinent to development of search strategies with multiple observers and are expected to find use in wargaming for evaluating the efficacy of networked imaging sensors. The Inspection Paradox, by Dan Martinez ABSTRACT. Dan will once again confound our senses and open our eyes by demonstrating how random events can produce counterintuitive asymmetric patterns. 2. Mathematica Gems and Discoveries Sharing of Mathematica programming oddities Applications of Mathematica to some areas of science Something recently read and worth sharing 3. Mathematica Questions, Possible Approaches and Discussion 4. New Business Select next meeting presentation, time and place Directions to 8301 Greensboro Drive, McLean VA (tall, boxy and white SAIC Enterprise Building at south corner of Westpark Drive and Greensboro Drive): >From the Beltway, go northwest on Route 7 (Leesburg Pike) and proceed past Route 123 (Chain Bridge Road). Turn right onto Westpark Drive (Gosnell Road in the other direction). Turn right at the next light onto Greensboro Drive and then right into the parking lot. Visitor's Parking is adjacent to Westpark Drive. A SIG representative will meet you in the lobby. Please arrive no later than 6:50AM if you wish to join us for a dutch-treat breakfast, and no later than 7:20AM to attend the meeting only. The desk officer will ask for a driver's license before issuing a visitor's badge.