Recent content by DuskStar

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    Graduate Can the Inverse Function Theorem Be Applied to Complex Multivariable Functions?

    In that case I am completely confused. I was just given these examples and told to show whether they were invertible or not by the 'inverse function theorem'. Is it possible for someone to post any example where I could apply the inverse function theorem?
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    Graduate Can the Inverse Function Theorem Be Applied to Complex Multivariable Functions?

    I've had a read through some of the topics about this but I am struggling to understand how to apply it. (1) Is it possible to apply the inverse function theorem to a function like f(x,y)=-xye(-(x^2+y^2)/2) or f(x,y)=2x^2+y^2-xy-7y (2) I am confused about how to compute the jacobian...