Sentence examples for basis of calculus from inspiring English sources

This kind of mathematics -- the basis of calculus -- is undeniably powerful.

Finding the formula of the derivative function is called differentiation, and the rules for doing so form the basis of differential calculus.

In fact, the basis of fractional calculus depended on classic analysis.

Although these developments were not entirely satisfactory from a foundational standpoint, they were fundamental to the eventual refinement of a rigorous basis for calculus by the Frenchman Augustin-Louis Cauchy, the Bohemian Bernhard Bolzano, and above all the German Karl Weierstrass in the 19th century.

This is the mathematical basis behind much of calculus, as arbitrary functions can be composed of many small lines, where shorter lines lead to more precision.

Newton had suggested a geometric or dynamic basis for calculus, but this ran the risk of introducing a vicious circle when the calculus was applied to mechanical or geometric problems.

As Geraldine Brady pointed out, it offers the first exposition of abstract lattice theory, the first exposition of Dedekind's theory of chains after Dedekind, the most comprehensive development of the calculus of relations, and a treatment of the foundations of mathematics on the basis of the relation calculus (see Brady 2000: 143 f).

Our abstract solution is realized on the basis of a particular action calculus, namely, the fluent calculus.

This move formed the basis of the modern predicate calculus.

Germans contended that Leibniz was the true inventor of calculus, and his principles are indeed the basis for today's calculus.

Sir Isaac Newton in England and Gottfried Wilhelm Leibniz in Germany had independently developed the calculus on a basis of heuristic rules and methods markedly deficient in logical justification.