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Is there a mathematical formula which will express the way in which mortality changes age by age? Many students have sought that will-o'-the-wisp but have had to confess failure. For example, Sir William Elderton says: but such a course did not satisfy me, because the failure… implied that the method was artificial and that I was not getting nearer to the root of the matter. To put the matter another way—I had not reached the best form in which to express the results: I had only obtained any approximation which led no further.
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