What is meant by this notation

$\displaystyle u(x,y;\lambda)\mbox{?}$

Thanks.

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- Dec 26th 2010, 11:26 AMdwsmithNotation Question
What is meant by this notation

$\displaystyle u(x,y;\lambda)\mbox{?}$

Thanks. - Dec 26th 2010, 11:34 AMJester
It usually means there's some parameter $\displaystyle \lambda $ in the solution $\displaystyle u(x,y)$ (if it's in the context of the solution of a differential equations which I think has been the focus of some of your lasts posts).

- Dec 26th 2010, 11:35 AMdwsmith
If you wouldn't mind, can you show me an example of this?

It can be as simple as possible. - Dec 26th 2010, 11:37 AMFernandoRevilla
Surely a family of functions $\displaystyle \{u_{\lambda}:A\subset\mathbb{R}^2\rightarrow \mathbb{R}\}$

:__Example__

$\displaystyle u_{\lambda}(x,y)=\lambda^2\sin (x^3y)$

Fernando Revilla

Edited: Sorry, I didn't see Danny's post. - Dec 26th 2010, 11:42 AMpickslides
- Dec 26th 2010, 11:43 AMdwsmith
Like when you have an equation, constraint, and your goal is to maximize or minimize?

- Dec 26th 2010, 12:03 PMpickslides
yep.

- Dec 26th 2010, 12:05 PMdwsmith
I don't see how they related though. I am not saying they aren't I just don't see it. Well, besides that lambda is used in the Lagrange Multiplier.