Difference between revisions of "E"

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(Created page with "The number $e$ can be defined in the following way: let $f$ be the unique solution of the initial value problem $$y'=y;y(0)=1,$$ then $e=f(1)$.")
 
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$$y'=y;y(0)=1,$$
 
$$y'=y;y(0)=1,$$
 
then $e=f(1)$.
 
then $e=f(1)$.
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=References=
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[http://eulerarchive.maa.org/hedi/HEDI-2006-02.pdf Who proved $e$ is irrational?]

Revision as of 02:26, 3 October 2014

The number $e$ can be defined in the following way: let $f$ be the unique solution of the initial value problem $$y'=y;y(0)=1,$$ then $e=f(1)$.

References

Who proved $e$ is irrational?