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A study on symmetry of second derivatives with symmetric functions
International Journal of Statistics and Applied Mathematics · 2025 · Vol. 10(1) · pp. 45–48
Abstract
The link between the two results is their equivalence, which is established in Theorem. For the sake of simplicity we confine our discussion to functions defined on open sets of the plane and to second order mixed partial derivatives. The interested reader can easily extend the obtained result to more general situations. All functions of two variables are assumed to be continuous (
Mathematics and ApplicationsGraph theory and applicationsSymmetry (geometry)MathematicsPure mathematicsTheoretical physicsPhysicsGeometry
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