Mathematical Models in the SEARCH 2005 Program

Problem Situation (Real World)
Mathematics Used to Build Model
Scheduling Problems Graphs, Proper Coloring of a Graph, Chromatic Polynomial, Birkhoff-Lewis Reduction Algorithm
The Game SET, Study of Epilepsy Probability, Finite Geometry, Modular Arithmetic
Mars Rock Data Tables, Percentages, Averages, Error Residuals, Systems of Linear Equations, Educated Guessing
Food for Long-term Exploration of Space Non-Linear Functions and Formulas
Edge Coloring of Cubes Logic, Geometry, Planar Graphs, Burnside Coloring Theorem
Design Structure for Experiments, Graphic Design on a Square Grid Latin Squares, Orthogonal Latin Squares