|© | Dror Bar-Natan: Classes: 2004-05: Math 157 - Analysis I:||(18)||
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Our task for today (and probably tomorrow as well) is to master the axiomatically meaningless task of visualization of numbers and functions. We will learn how to interpret graphically all of the following:
Just for fun. For , the number is defined to be the result of the following process: Write in binary, replace every in the resulting expansion by a , and interpret the result as a number written in base 3. For example, .
Deep thought questions. Why, really why, is ? Why, really why, is ?