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Math Help - Notation Question

  1. #1
    MHF Contributor
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    Notation Question

    What is meant by this notation

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

    Thanks.
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  2. #2
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    It usually means there's some parameter \lambda in the solution 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).
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  3. #3
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    If you wouldn't mind, can you show me an example of this?

    It can be as simple as possible.
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Surely a family of functions \{u_{\lambda}:A\subset\mathbb{R}^2\rightarrow \mathbb{R}\}

    Example:

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

    Fernando Revilla

    Edited: Sorry, I didn't see Danny's post.
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  5. #5
    Master Of Puppets
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    Quote Originally Posted by dwsmith View Post
    If you wouldn't mind, can you show me an example of this?

    It can be as simple as possible.
    Do you know the Lagrange Mulitplier method for optimisation?
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  6. #6
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    Like when you have an equation, constraint, and your goal is to maximize or minimize?
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  7. #7
    Master Of Puppets
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    yep.
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  8. #8
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    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.
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