Let f S n be a differentiable function on a convex set S n Suppose that the Jacobian Jf(x) is positive (or negative) definite for all x S Then f is one to one ...

Assume to the contrary that there exists x 0 x 1 with x 0 x 1 Let x x 1 ...

Let f: S n be a differentiable function on a convex set S n. Suppose

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Let f: S → ℜn be a differentiable function on a convex set S ⊆ ℜn. Suppose that the Jacobian Jf(x) is positive (or negative) definite for all x ∈ S. Then f is one-to-one.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:51 AM

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Let f: S n be a differentiable function on a convex set S n. Suppose

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Foundations of Mathematical Economics

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