Sentence examples for principles of calculus from inspiring English sources

He explores prime numbers in relation to the haiku form and Dante's poetry, and discusses the principles of calculus — infinitely small changes represented in the curves of graphs — underlying Tolstoy's "War and Peace": "In these curves, smooth and subtle, girding the infinitesimal movements behind every human life, Tolstoy thought he saw the blindness of contemporary historians".

In this communication, we would like to discuss the relevance of nonstandard Lagrangians in general relativity using the principles of calculus of variations.

How many of us would have loved to get the basic principles of Calculus from Newton himself or to study Biology 101 with Darwin?

Peano's Calcolo differenziale e principii di calcolo integrale (1884; "Differential Calculus and Principles of Integral Calculus") and Lezioni di analisi infinitesimale, 2 vol. (1893; "Lessons of Infinitesimal Analysis"), are two of the most important works on the development of the general theory of functions since the work of the French mathematician Augustin-Louis Cauchy (1789 1857).

Owing to this characteristic, the principles of fractional calculus have played a significant role in improving the modeling techniques for several real world problems [1] [4].

This is known as the Power Rule of Calculus.

When laying out the early principles of λ-calculus, Church restricted β-reduction to only those cases where variable capture does not occur.

This article reports an alternative treatment in lieu of the principle of variational calculus for a certain class of optimization problems.

The lectures were published in 1797 under the title Théorie des fonctions analytiques ("Theory of Analytical Functions"), a treatise whose contents were summarized in its longer title, "Containing the Principles of the Differential Calculus Disengaged from All Consideration of Infinitesimals, Vanishing Limits, or Fluxions and Reduced to the Algebraic Analysis of Finite Quantities".

Leibniz also uses his concept of a conatus in developing the principles of the integral calculus, adapting the meaning of the term, in this case, to signify a mathematical analog of Newton's accelerative "force".

The other great discovery of Newton and Leibniz was that finding the derivatives of functions was, in a precise sense, the inverse of the problem of finding areas under curves a principle now known as the fundamental theorem of calculus.