How do you calculate a bounding interval for a function domain?
How do you calculate a bounding interval for a function domain?
WernerGg, 18.10.2023
I need a bounding interval for a function domain domF of a function f(x), i. e., any logical expression of inequalities, equalions, memberships and the like. An extremely simpel example that should lead to Interval[{0,90°}] is:
In[]:=
domF=(0<x<90°)
Out[]=
0<x<90°
The task should be accomplished by ImplicitRegion (domain region) and BoundingRegion (region interval). But this does not work, as you can see from:
In[]:=
Clear[x];Echo[domF=(0<x<90°),"domF: "];Echo[domR=ImplicitRegion[0<x<90°,{x}],"domR: "];Echo[intF=BoundingRegion[domR,"MinInterval"],"intF: "];
»
domF: 0<x<90°
»
domR: ImplicitRegion[0<x<90°,{x}]
»
intF: Interval[{0},{90°}]
BoundingRegion creates an interval with incorrect syntax.
Does anyone know what is wrong with my code? Or does anyone have a better idea how to get the interval?
Note that usually the function domain is much more complicated, for example:
Does anyone know what is wrong with my code? Or does anyone have a better idea how to get the interval?
Note that usually the function domain is much more complicated, for example:
In[]:=
domF=FunctionDomain[{1/2ArcSin[2Tan[x]],0<x<90°},x,Reals]
Out[]=
1
2
x
π
1
2