functionacosh
Inverse of cosh (area hyperbolic cosine)
Extends from Modelica.Math.Icons.AxisLeft (Basic icon for mathematical function with y-axis on left side).
Information
This function returns the area hyperbolic cosine of its input argument u. The valid range of u is
+1 ≤ u < +∞
If the function is called with u < 1, an error occurs. The function cosh(u) has two inverse functions (the curve looks similar to a sqrt(..) function). acosh(..) returns the inverse that is positive. At u=1, the derivative dy/du is infinite. Therefore, this function should not be used in a model, if u can become close to 1:
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u | Independent variable |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y | Dependent variable y=acosh(u) |