Glaeser's continuity theorem
In mathematical analysis, Glaeser's continuity theorem is a characterization of the continuity of the derivative of the square roots of functions of class . It was introduced in 1963 by Georges Glaeser, and was later simplified by Jean Dieudonné. The theorem states: Let be a function of class in an open set U contained in , then is of class in U if and only if its partial derivatives of first and second order vanish in the zeros of f.
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Glaeser's continuity theorem
In mathematical analysis, Glaeser's continuity theorem is a characterization of the continuity of the derivative of the square roots of functions of class . It was introduced in 1963 by Georges Glaeser, and was later simplified by Jean Dieudonné. The theorem states: Let be a function of class in an open set U contained in , then is of class in U if and only if its partial derivatives of first and second order vanish in the zeros of f.
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Em análise matemática, o teore ...... 2 desaparecem nos zeros de f.
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In mathematical analysis, Glae ...... rder vanish in the zeros of f.
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Le théorème de Glaeser, en ana ...... et 2 s'annulent aux zéros de .
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Em análise matemática, o teore ...... 2 desaparecem nos zeros de f.
@pt
In mathematical analysis, Glae ...... rder vanish in the zeros of f.
@en
Le théorème de Glaeser, en ana ...... et 2 s'annulent aux zéros de .
@fr
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Glaeser's continuity theorem
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Teorema de Glaeser
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Théorème de Glaeser
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