Modeling a SystemSlide 2Slide 3Slide 4Slide 5Slide 6Slide 7Slide 8Slide 9Slide 10What To Conclude?Matter and Interactions 1 Fall 2007Modeling a SystemAn unknown system for which we will measure a spectrum of values. We will model the system asa quantized system in which it is possible to getcertain base values. The measured values are sumsof the base values.What is the simplest set of base values that wouldAllow us to build the spectrum?What else can we learn about the system?Matter and Interactions 1 Fall 2007Time = 12427Base values = 24,27Matter and Interactions 1 Fall 2007Time = 210 1724 27Base Values = 10,17,24Matter and Interactions 1 Fall 2007Time = 53 101617 24273120Base Values = 3,10,17Matter and Interactions 1 Fall 2007Time = 103710 131617202124 27 31Base Values = 3,7Matter and Interactions 1 Fall 2007Time = 2536 7101314 1617192021 2427283031 3435Base Values = 3,7Matter and Interactions 1 Fall 2007Time = 500Base Values = 0,3,7Matter and Interactions 1 Fall 2007Base Values = 0,3,7,8Time = 1008Matter and Interactions 1 Fall 2007Time = 5005Base Values = 0,3,5,7Matter and Interactions 1 Fall 2007Time = 81211Base Values = 0,3,5,7Matter and Interactions 1 Fall 2007What To Conclude?Under our model, all measured data can be constructedfrom 0,3,5 and 7.The values 3 and 7 are the most common values, while the value of 5 is extremely rare.These data are really football game scores.The true base values are 0,2,3,6 and 6+1. Could we haveever figured this out from the data that we had?A model can be used to describe a system, but it may notbe fully correct. It is only as good as the data and experimentsthat we can