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my favorite theorem
Category: Sports
did u know that e^(pi*sqrt(163)) is almost an integer??? it is very close to 262537412640768744=640320^3+744 the reason for this is that the j-invariant j(t) is an algebraic integer for all quadratic irrationals t in the upper half plane, and its degree is the class number of the field Q(t) formed by adjoining t to the rational numbers (which is to say, how many "classes" of ideal there are, or mo... » Continue Reading