Hi,
is there any way to change how the validation of an expression looks like?
I'm asking because I would like inverse hyperbolic functions to be rendered as \(\mathrm{arsinh}(x),\ \mathrm{arcosh} {x}\) and so on. It is easy to make this work in the question text, but is there also a way to let students enter asinh(x) and let it be validated as \(\mathrm{arsinh}(x)\)?
Stephan
Stephan,
We do already have an option here: https://github.com/maths/moodle-qtype_stack/blob/master/stack/options.class.php#L285
which is implemented here: https://github.com/maths/moodle-qtype_stack/blob/master/stack/maxima/stackmaxima.mac#L233
So, if you have chosen that option at a question level then it should reflect validation display. If you want another (!) choice through this option it should be straightforward to add it in parallel to the existing choices.
Chris
Hi Chris,
thanks for answering. I do know this option and I am already using it. But I was surprised to see in the implementation, that the display of inverse hyperbolic functions (with the option "arccos") as "\\rm arcsinh", "\\rm arccosh" etc. is on purpose. I'm irritated to have "arc" instead of "ar" here, because inverse hyperbolic sine and cosine are actually giving areas and not arcs as inverse sine and cosine do.
Would anyone like to use \(\mathrm {arcsinh}\) instead of \(\mathrm {arsinh}\) for the inverse hyperbolic sine at all? If not one could just replace "arc" with "ar" for the six inverse hyperbolic functions in the implementation.
(Otherwise it would be nice to have an extra option, which allows to display inverse trigonometric functions with "arc" and inverse hyperbolic functions with "ar".)
Stephan
Ok, well maybe this is simply a mistake/bug as they are listed here as "arsinh" and not "arcsinh". https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions#Logarithmic_representation The question as you rightly ask is should we have "arc..." at all?!
This really is only a query about the hyperbolic versions?
Chris
It is only about the hyperbolic versions; because there is no mathematical reason to call their inverse functions "arc". Maybe the mistake only happened because some of the hyperbolic functions start with a "c" (cosh, coth, csch) and then the inverse function somehow looks like having an "arc".
I think it would be consistent and in line with many textbooks (and wikipedia) if the display option would render inverse trigonometric functions with "arc" and inverse hyperbolic functions with "ar".
Stephan
