December 29, 2011

Pi – a universal constant?

Filed under: Letters from Ionia — Tags: , — zankaon @ 8:27 pm

There are many physical constants. But is there just one universal mathematical constant? Like other arc lengths and chords, Pi is irrational; so in this sense not unique? Also does not Pi appear in other places; so not directly unique to geometry? Yet is Pi the only mathematical universal constant? In contrast,  e=lim(1+1/k)^k  has a limit expression for k  -> infinity, or  e=1 + 1/1! + 1/2!  + … for infinite series.


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