Differential-calculus Sentence Examples

differential-calculus
  • Both these methods, differing from that now employed, are interesting as preliminary steps towards the method of fluxions and the differential calculus.

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  • During this period logarithms were invented, trigonometry and algebra developed, analytical geometry invented, dynamics put upon a sound basis, and the period closed with the magnificent invention of (or at least the perfecting of) the differential calculus by Newton and Leibnitz and the discovery of gravitation.

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  • There has been some discussion as to the fairness of the treatment accorded by Pascal to his rivals, but no question of the fact that his initiative led to a great extension of our knowledge of the properties of the cycloid, and indirectly hastened the progress of the differential calculus.

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  • He soon commenced to read the Principia, and at sixteen he had mastered a great part of that work, besides some more modern works on analytical geometry and the differential calculus.

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  • He studied the properties of the cycloid, and attempted the problem of its quadrature; and in the "infinitesimals," which he was one of the first to introduce into geometrical demonstrations, was contained the fruitful germ of the differential calculus.

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  • He discovered a simpler method of quadrating parabolas than that of Archimedes, and a method of finding the greatest and the smallest ordinates of curved lines analogous to that of the then unknown differential calculus.

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  • He sent his results on making the differential calculus into a purely algebraic theory to the Royal Society.

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  • In this approach we use differential calculus and differential geometry both to filter and analyze multi-dimensional images.

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  • Language goes no further in this direction, but the mathematical symbolism of the differential calculus allows of an indefinite extension of this procedure.

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