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  _  _    __   __   _    _    _    _     ______  
 | \| ||  \ \\/ // | || | || | || | ||  /_   _// 
 |  ' ||   \ ` //  | || | || | || | ||    | ||   
 | .  ||    | ||   | \\_/ || | \\_/ ||   _| ||   
 |_|\_||    |_||    \____//   \____//   /__//    
 `-` -`     `-`'     `---`     `---`    `--`

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Text this: A note on sharp 1-dimensional poincaré inequalities