Half Life

Today marks a unique day for the LTEE and me. The LTEE started on February 17, 1988.  That was 11,517 days ago. I was born on August 13, 1956.  That was 23,034 days ago. That means that the LTEE is now half as old as I am. To put it another way, I’ve spent half …

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Some Periodic Functions

Let’s start with a basic “calculus fact”. Theorem 1  If f is a non-constant, continuous periodic function on R, then there exists a smallest positive real number λ satisfying f(x+λ)=f(x) for all x. Proof: By definition of periodicity, there exists a subset Λ⊂R satisfying f(x+λ)=f(x) for every x∈R and λ∈Λ. Necessarily Λ is closed under …

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