Sentence examples for fundamental calculus from inspiring English sources

Greece's membership in the European Union gives its creditors significant leverage, but evidently not enough to change the fundamental calculus.

It was a blunt response to comments by US officials that they do not have "high expectations" that the election will change "the fundamental calculus of Iran".

Credit for the independent discovery, about 1670, of the fundamental theorem of calculus together with the invention of techniques to apply this theorem goes jointly to Gottfried Wilhelm Leibniz and Isaac Newton.

With the technical preliminaries out of the way, the two fundamental aspects of calculus may be examined: a. Finding the instantaneous rate of change of a variable quantity.

Strict mathematical logic aside, the importance of the fundamental theorem of calculus is that it allows one to find areas by antidifferentiation the reverse process to differentiation.

By the fundamental theorem of calculus, this is the difference between the values of t3 when t = 2 and t = 1; that is, 23 − 13 = 7.

This hard-won result became almost a triviality with the discovery of the fundamental theorem of calculus a few decades later.

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.

Integration is related to differentiation by the fundamental theorem of calculus, which states that (subject to the mild technical condition that the function be continuous) the derivative of the integral is the original function.

Similarly, Leibniz viewed the integral ∫f(x dx of f(x) as a sum of infinitesimals infinitesimal strips of area under the curve y = f(x), as shown in the figure so that the fundamental theorem of calculus was for him the truism that the difference between successive sums is the last term in the sum: d∫f(x dx = f(x dx.

The first was the discovery of the surprising relationship, known as the fundamental theorem of calculus, between spatial problems involving the calculation of some total size or value, such as length, area, or volume (integration), and problems involving rates of change, such as slopes of tangents and velocities (differentiation).