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Formula:2193

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Digital Library of Mathematical Functions ID 4.32.E3

| cosh ⁡ x - cosh ⁡ y | ≥ | x - y | ⁢ sinh ⁡ x ⁢ sinh ⁡ y , 𝑥 𝑦 𝑥 𝑦 𝑥 𝑦 {\displaystyle{\displaystyle|\cosh x-\cosh y|\geq|x-y|\sqrt{\sinh x\sinh y},}}


Constraint(s)

y > 0 𝑦 0 {\displaystyle{\displaystyle y>0}}

Symbols List

  • cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}} : hyperbolic cosine function
  • sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}} : hyperbolic sine function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • y 𝑦 {\displaystyle{\displaystyle y}} : real variable
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This page was last edited on 28 January 2024, at 10:30.
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