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Washington DC Area Mathematica Special Interest Group

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  • Subject: [mg109096] Washington DC Area Mathematica Special Interest Group
  • From: "Bruce Colletti" <bwcolletti at>
  • Date: Mon, 12 Apr 2010 23:01:11 -0400 (EDT)

Mathematica SIG


16 April  2010, 7:30 am

Science Applications International Corporation (SAIC)
8301 Greensboro Drive
McLean VA

Southern Corner of Westpark Drive and Greensboro Drive


1.  Prepared Talks

Analytical Models Quantify Military Benefit of Collaborative Search, by Mel

(Note:  Go to, 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

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

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.

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