model_problems_2013_vt

model_problems_2013_vt, "Problems in Mathematical Modeling", a lecture for a one day workshop on Mathematical Modeling, at Virginia Tech, 04 May 2013.

• model_problems_2013_vt.tex;
• model_problems_2013_vt.pdf;

The following files were used:

• backtrack.png, an illustration of how backtracking would be used to find a solution to the four queens problem.
• bacon.png, an example of the output from the Oracle of Bacon; in this case, reporting the ``distance'' from Roscoe Arbuckle to Kevin Bacon.
• bell_206.png, the Bell model 206 helicopter.
• dome_back1.png, an image suggesting how a laser projects images onto the dome of a planetarium.
• gerrymander.png, an editorial cartoon which criticized a plan to create a voting district from an oddly shaped string of smaller districts.
• gps.png, a sketch of how the GPS satellite network is visible from anywhere on the surface of the earth.
• iowa_districts.png, a map of how the 99 counties of Iowa were organized into 5 congressional districts.
• iowa_population.png, a contour map suggesting the local population density of the state of Iowa.
• iowa_population.txt, a population data file for the districting problem, suggested by the Iowa problem, but using 96 counties and artificial data.
• knapsack.png, an illustration of the knapsack problem.
• lewis_carroll.png, a photographic self-portrait of Lewis Carroll.
• milgram.png, an illustration of Stanley Milgram's "Small World" experiment.
• numeric_lock.png, a door lock that uses numbered buttons for entry.
• paintings.png, a small collection of 10 valuable paintings.
• pentominoes.png, the shapes of the 12 pentominoes made of 5 contigous squares.
• polyfish_lines.png, the edges of a 3D polygonal model of the surface of a fish.
• protein_folding.png, an illustration of how a protein folds up.
• prototein.png, an image of a "prototein", an idealized protein.
• queens.png, a configuration of eight queens.
• radar.png, a sketch illustrating the problem of an aircraft seeking to travel over enemy territory that is monitored by radar stations.
• roi.png, a 3D collection of cubes that illustrates the kind of data returned by a 3D brain scan.
• scan_blobs.png, a 2D arrangement of squares that can be organized into connected "countries".
• worms.png, an image of 3 possible shapes for a worm's house having 10 rooms.