Washington DC Area Mathematica Special Interest Group
- To: mathgroup at smc.vnet.net
- Subject: [mg118219] Washington DC Area Mathematica Special Interest Group
- From: "Bruce Colletti" <bwcolletti at verizon.net>
- Date: Sun, 17 Apr 2011 07:51:31 -0400 (EDT)
Mathematica SIG (http://web.me.com/hrbishop.pmsi) MEETING 22 April 2011, 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 "Solution of a Detection Problem", by Mel Friedman ABSTRACT. Hypothesis H1 is a probability density function that is a function of X1 and X2. Hypothesis H0 is a different probability density function that is also a function of X1 and X2. We are given a single experimentally measured pair (X1,X2) and we assume P1, the probability of H1, P0 the probability of H0 and CIJ are known. Here CIJ is the cost of picking hypothesis I when hypothesis J is true for I, J =0,1. With the help of detection theory and Mathematica, an algorithm is developed for choosing a hypothesis in such a way as to minimize the risk (another name for the expected cost of the decision). Then using Mathematica and without knowledge of P1, P2 or the costs, a receiver operating characteristic or ROC curve is constructed. The ROC curve is a graph of probability of detection versus probability of false alarm and these will be defined in the presentation. Finding the ROC curve required doing a double integral over a region defined by a transcendental equation. The talk will illustrate how Mathematica facilitates the solution of this type of problem and also illustrates how to do double integrals over a region defined by a transcendental equation. "A Snapshot of Retail Gasoline Prices Since 1986", by Dan Martinez ABSTRACT. In this presentation, Dan will show a plot of the monthly price range that he paid for gasoline from January 1986 to today. The plot includes dynamic controls for lower and upper date range and an inflation estimator. The plot also uses an application of ColorFunction with Filling. "Making a Demonstration Project", by Harry Bishop ABSTRACT. Building a demonstration is more than just constructing a Manipulate expression. Once the expression is developed and running, the entire project needs to be in the form of a demonstration notebook. An authors account and uploading the demonstration starts the Wolfram review process. Further communication and revision may be required. Reviews by editors, technical performance and evaluation groups occur. If approved, posting of the demo on the Wolfram Demonstration site is the last step. 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.