What do we mean by "open" and "closed" form in mathematics?

[magnetra]

What do we mean by "open" and "closed" form in mathematics? For instance "this integration doesn't have closed form solution"??

M

 

[Harmasha]

Re: Open and closed form

Hi,
In equations or algebra,
You call some thing to be in open form when its solution is not bound.
Then a closed form and open form should be a geometric shape representation of the equation.
And coming to integeration, you go for the boundary of the solution first. This is called feasibility analysis. Then if the equations lead to multiple solution then it would be a open solution space not having a complete boundary.