state and prove schwarz theorem
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Suppose that f is a function of two variables such that fxy and fyx both exist and are continuous at some point (x0,y0). Then fxy(x0,y0) = fyx(x0,y0).
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THEOREM (H. A. Schwarz). Suppose that f is a function of two variables such that fxy and fyx both exist and are continuous at some point (x0,y0). Then fxy(x0,y0) = fyx(x0,y0).
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