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[SPAM] Please, forgive me and answer

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[SPAM] Hi! Are you here?

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Relation box and LP: proposal for plugin or expanding edit box

Dear Author

When I want to visualize the decision domain for linear programming in 
two variables with the aid of
Dialog box: Function | Insert relation
I can do the following
------------------------------
Relation
3*x+4*y <= 7
Constraints
4*x+3*y < 7 and x>=0 and y>0
------------------------------
(To plot domains was more cumbersome  in earlier versions of Graph;
we had to parametrize... err, now it's fine).
Nevertheless it would be comfortable to plot such domains with 
explicitly graphed corners. This could be achieved by some checkbox like
"Show intersections of constraining curves"
(Of course without hard programming work it won't magically appear :)

 From the point of view of linear programming task it would be desirable 
to have the following feature:
if LP is checkmarked, then further menu activates and allows user to 
type in the objective function f(x,y)=... and see the values of f in the 
corners (when mouse over) or even in any point of the decision domain.

Furthermore, restriction to linear f seems to be unnecessary (although 
in linear case one would like to obtain exact values in the corners). 
This could allow students (especially those who dont take slightly long 
course in computer algebra systems,
e.g. pre-university education) to investigate optimization interactively.

Such a feature like colour map with respect to the value of objective 
function should increase visualization effect perhaps in equally good 
way as 3D plot of surface over domain. Moreover for objective functions 
of 3 variables you are enforced to use colour map trick, since usually 
people can't see 4D.
Hopefully reading this letter didn't took too much in 4th dim ;)

Please keep the good job.
Best regards, Krzysztof Leśniak

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Re: Relation box and LP: proposal for plugin or expanding edit box

Krzysztof Leśniak wrote:
> Nevertheless it would be comfortable to plot such domains with 
> explicitly graphed corners. This could be achieved by some checkbox like
> "Show intersections of constraining curves"
> (Of course without hard programming work it won't magically appear :)

Sorry, but I do not understand what it is you want. The border of the 
inequality will be shown if Width is not 0.

>  From the point of view of linear programming task it would be desirable 
> to have the following feature:
> if LP is checkmarked, then further menu activates and allows user to 
> type in the objective function f(x,y)=... and see the values of f in the 
> corners (when mouse over) or even in any point of the decision domain.

I am unsure what you mean. Do you want to evaluate relations like 
functions? I have been planing that for some time, but I don't know when 
I will get it implemented.

> Such a feature like colour map with respect to the value of objective 
> function should increase visualization effect perhaps in equally good 
> way as 3D plot of surface over domain. Moreover for objective functions 
> of 3 variables you are enforced to use colour map trick, since usually 
> people can't see 4D.

I am considering both 3D and the use of color map, but it will require a 
major redesign and I don't know when I will find the time.

Best regards
Ivan Johansen

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