Years ago a noted nuclear physicist doodled an equation that perfectly fit the observed ("empirical") energy spectrum of the decay of a radioactive material (above left). The sketch was lost; the scientist died. All that friends could remember were that the equation dealt with simple algebraic manipulations of reciprocals, and that he had drawn some parallel lines something like one of the two sets shown at the bottom.    How to read them: "As Y is a fractional distance between M and N, 1/X is the same fractional distance between the reciprocals of M and N." If Z=|(Y-[1/X])|, then how well does the plot of Z versus f fit the empirical graph? Remember that neither of the two sets below are likely to perfectly match the graph of the decay spectrum. You must "play" with the models in hopes of finding the right model that rediscovers the lost doodle. Find the right model and become famous! For more details: www.science-projects.com/DecayMath.htm