Sentence examples for integral called from inspiring English sources

The method introduced is based on a conservation integral, called H-integral, which leads to a new domain-independent integral represented by a scalar product of the SIF times some element shape function defined along the crack front or edge.

In particular, minimizing an integral, called an action integral, led several mathematicians (most notably the Italian-French Joseph-Louis Lagrange in the 18th century and the Irish William Rowan Hamilton in the 19th century) to a teleological explanation of Newton's laws of motion.

A new fractional integral, called generalized Riemann-Liouville fractional integral, which generalizes the Riemann-Liouville and the Hadamard integrals into a single form, was introduced in [17].

Basic theory of the abstract Kurzweil-Stieltjes integral (called also abstract Perron-Stieltjes or simply gauge-Stieltjes integral) and generalized linear differential equations in a general Banach space has been established by Schwabik in a series of papers [8 10] written between 1996 and 2000.

On the other hand, a few years before the publication in 1960 of the book [1] cited above, Ralph Henstock and Jaroslav Kurzweil generalized the definition of the Riemann integral so that the resulting integral, called here the Henstock-Kurzweil (shortly HK) integral, encloses the Lebesgue integral of real valued functions.

So, this is a direct substitution in that integral, but this integral calls for an inverse substitution in order to be able to do it.

In the next proposition, the Henstock-Kurzweil integral K ∫ can be replaced by any of the integrals called Riemann, Lebesgue, Denjoy and wide Denjoy integrals.

The integral is called a path integral or a functional integral.

The process of finding an indefinite integral is called integration.

This integral is called the left-sided fractional integral.

The process of calculating integrals is called integration.