I would like to bound cosh 2 </msup> &#x2061;<!-- ⁡ --> ( t

jistefaftexia99kq6

jistefaftexia99kq6

Answered question

2022-05-14

I would like to bound
cosh 2 ( t 1 γ 2 )
for all t R , where γ 2 1. How can I do such thing?

Answer & Explanation

Solomon Ferguson

Solomon Ferguson

Beginner2022-05-15Added 9 answers

One may write
cosh 2 ( t 1 γ 2 ) = ( e t 1 γ 2 + e t 1 γ 2 2 ) 2 e 2 | t | 1 γ 2 , t R ,
or
cosh 2 ( t 1 γ 2 ) = e 2 t 1 γ 2 4 + e 2 t 1 γ 2 4 + 1 2 e 2 | t | 1 γ 2 4 + 3 4 , t R ..

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