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absolute differentialの例文

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  • He was mainly involved in absolute differential calculus and in general relativity.
  • Grossmann introduced Einstein to the absolute differential calculus, started by Ricci-Curbastro and Levi-Civita.
  • The absolute differential calculus, later named tensor calculus, forms the mathematical basis of the general theory of relativity.
  • In the last part of his life, he also worked on absolute differential calculus and on the geometry of Hilbert spaces.
  • It was the " absolute differential calculus " form of multilinear algebra that Marcel Grossmann and Michele Besso introduced to Albert Einstein.
  • He studied applications of the Lie derivative as it relates to Riemannian geometry as well as absolute differential calculus, and published a large number of papers relating to the subjects.
  • The original " absolute differential calculus " notion, which was later called " tensor calculus ", led to the isolation of the geometric concept of connection.
  • Christoffel's ideas were generalized and greatly developed by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita, who turned them into the concept of tensors and the absolute differential calculus.
  • Pick introduced Einstein to the work of Italian mathematicians Gregorio Ricci-Curbastro and Tullio Levi-Civita in the field of absolute differential calculus, which later in 1915 helped Einstein to successfully formulate general relativity.
  • In 1912, he presented a general covariant formulation of the electromagnetic equations, based on the absolute differential calculus, which is also valid within Albert Einstein's General Relativity, before that theory was even developed.
  • Tensors were first conceived by Tullio Levi-Civita and Gregorio Ricci-Curbastro, who continued the earlier work of Bernhard Riemann and Elwin Bruno Christoffel and others, as part of the " absolute differential calculus ".
  • This idea was developed into the theory of the " absolute differential calculus " ( now known as tensor calculus ) by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita between 1880 and the turn of the 20th century.
  • His textbook on tensor calculus, " The Absolute Differential Calculus " ( originally a set of lecture notes in Italian co-authored with Ricci-Curbastro ), remains one of the standard texts more than a century after its first publication, with several translations available.
  • In 1921 he published to Messina one of the first treaties on the special relativity and general, where he used the absolute differential calculus without coordinates, developed with Burali-Forti, as opposed to the absolute differential calculus with coordinates of Tullio Levi-Civita and Gregorio Ricci-Curbastro.
  • In 1921 he published to Messina one of the first treaties on the special relativity and general, where he used the absolute differential calculus without coordinates, developed with Burali-Forti, as opposed to the absolute differential calculus with coordinates of Tullio Levi-Civita and Gregorio Ricci-Curbastro.
  • Einstein wrote concerning Kretschmann's objection : " Although it is true that every empirical law can be put in a generally covariant form, yet the principle of relativity possesses a great heuristic power . . . . Of two theoretical systems, both of which agree with experience, the one is to be preferred which, from the point of view of the absolute differential calculus is the simpler and more transparent.