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The collection of seemingly random sized bars and the series of numbers found below this "Bar Code" are both utilizations of mathematics. The Bar Code and the series of numbers, formally named the items' "U.P.C" or Universal Product Code, each serve as an identifying process for the item which they adorn. Although both serve the same purpose they differ in the mathematical processes they utilize. These different mathematical processes are: Modular Arithmetic (U.P.C) and the application of the Fibonacci sequence (Bar code). In order to fully comprehend and appreciate the function of these principles is it necessary to dissect several aspects: their history, their mathematical workings, their relationship to the U...
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