The implicit function theorem really just boils down to this: if I can write down m (sufficiently nice!) equations in n+m variables, then, near any sufficiently ... ... <看更多>
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The implicit function theorem really just boils down to this: if I can write down m (sufficiently nice!) equations in n+m variables, then, near any sufficiently ... ... <看更多>
To do this, we'll appeal to the implicit function theorem. Let's look at the general case to simplify notation. Suppose x and y ... ... <看更多>