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By Henri Villat

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Additional info for Comptes rendus du Congrès international des mathématiciens (Strasbourg, 22-30 Septembre 1920)

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M. ZAREMBA : Sur u n théorème fondamental relatif à l'équation de Fourier. M. YOUNG : Sur certaines intégrales doubles. M. SAKELLARIOU : Sur les solutions discontinues du problème du Calcul des Variations dans l'espace à n dimensions. S E C T I O N II. Géométrie. Introducteur : M. GOURSAT. 23 SEPTEMBRE, de 9 à 12 heures. Président : M. DEMOULIN. M. BYDZOWSKY : Sur les transformations quadratiques reproduisant u n e quartique elliptique plane. M. TAYLOR : La géométrie des variables complexes. 24 SEPTEMBRE, de 9 à 12 heures.

M. TAYLOR : La géométrie des variables complexes. 24 SEPTEMBRE, de 9 à 12 heures. Président : M. EISENHARDT. M. CARTAN : Sur le problème général de la déformation. M. DRACH : L'intégration logique des équations différentielles; applications à la géométrie et à la mécanique. XLIV CONGRES INTERNATIONAL DES MATHÉMATICIENS. 25 SEPTEMBRE, de 9 à 10 h . 3o. Président : M. LE ROUX. M. JORDAN : La classification des constellations. M. EISENHARDT : Sur la transformation des systèmes conjugués R. Discussion : MM.

When Green transformed it in 1837 into a theory of energy by introduction of Lagrangian variations, the expression for the energy-function was limited and determined by the condition of permanence of form when the co-ordinates were changed in various ways, though it was perhaps implied rather than exhibited that this invariance was complete. When Mac Cullagli soon after, tacitly adopting this method from Green in his brilliant and final formulation of optical dynamics, was guided to the square of the curl (or rotation) of the displacement as the proper expression for the energy leading to the desired optical results, he recognised fully the difficulty which his critics over-pressed, the absence of any overt mechanical explanation of his abstract formulae, of the nature of elastic strain.

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