elementary function and non-elementary function amount

shahar

Full Member
Joined
Jul 19, 2018
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524
What more bigger the group of elementary function or non-elementary function?

How can it will be proven?
 
First you will have to tell us how you wish to measure "bigger" for infinite sets! Both of the sets are infinite. For example. sin(αx)\displaystyle sin(\alpha x) is an elementary function for all α\displaystyle \alpha and Jo(βx)\displaystyle J_o(\beta x) is a non-elementary function for all β\displaystyle \beta.
 
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