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plot level set of the crescent function
Under Consideration
Sadly it is currently not possible to plot a level set of the crescent function, e.g.
max(x^2+(y1)^2+y1, x^2(y1)^2+y+1)=1. GeoGebra says, that it is not allowed to have two functions as argument. An enhancement to support this feature would be very nice!
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max(f,g) is not possible. use (f+g+abs(fg))/2
your equation is only a parabol and two points. try another
min(f,g) is (f+gabs(fg))/2
tOh yes, thats true. I did not care of this one, it was just one of the a try and go. Nevertheless, this enhancement would be nice.
Actually it is not a parabol, whats this one? did you mean a parabolid? This one surface with 2 dimensions? It looks almost like a crescent, when I plot this with GeoGebra.
It's not clear what you mean I think. Maybe you can post a picture of what you are trying to plot?
I want to visualize the set
L := {(x,y) in R^2  max(x^2+(y1)^2+y1, x^2(y1)^2+y+1)=1 }.
As mathmagic noticed, max(f,g) is equal to (f+g+abs(fg))/2. So I put this in GeoGebra (see the file), and got sth. that looks (to me) nearly like a crescent. My aim was not to find a formula to plot a crescent, but to visualize this set.
So I just wanted to say, that if you put
in GeoGebra, it would be nice, if you get not an error, but the same plot I posted in the picture before.it is enough with
x² + (y  1)² < 5 ∧ x² + (y  3)² > 5 then line thickness to 0 ?
your graph is not a function because the point over some values of x are not unique
oh yes, it is not a function but a level set of a function. As i said, my aim was not to find a formula to plot a crescent, but to visualize this level set. Actually this function is called crescent function. I just wanted to visualize a problem from my optimization homework, e.g. with GeoGebra.
But this was not my intention for this topic. This should be just a "feature request".
entonces tú querías decir curvas en ecuaciones implicitas a partir de la funcion maximo de dos funciones
"entonces tú querías decir curvas en ecuaciones implicitas a partir de la funcion maximo de dos funciones"
Yes, exactly, thank you for the file, it looks amazing! But really I wanted just say, that it would be nice, if you could just write an equation like `max((x^2+(y1)^2+y1, x^2(y1)^2+y+1))=1` and get a plot. It would be better readable, imho.
Oh but actually it should be `c(x,y)=(a(x, y) + b(x, y) + abs(a(x, y)  b(x, y))) * 0.5`, right?
(a+b+abs(ab))/2 is enough
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