Sentence examples for fundamental theorem as from inspiring English sources

Later on, Baum and Katz [4] generalized and extended this fundamental theorem as follows.

Mean-value theorem, theorem in mathematical analysis dealing with a type of average useful for approximations and for establishing other theorems, such as the fundamental theorem of calculus.

The proposition that the general polynomial with real coefficients has a root of the form a + bSquare root of√−1 became known later as the fundamental theorem of algebra.

The proposition that the general polynomial with real coefficients has a root of the form a + b√(−1) became known later as the fundamental theorem of algebra.

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.

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).

The following result is known as the fundamental theorem of calculus.

The concept is regarded as a fundamental theorem of number theory, and his ideas paved the way for the work of Carl Friedrich Gauss.

Thanks to the fundamental theorem, differentiation and integration were easy, as they were needed only for powers xk.

The fundamental theorem in this paper is stated as follows about the existence of an -periodic solution.

Rather, Pareto's statement was the first formal assertion of what would be known as the first fundamental theorem of welfare economics.