Sentence examples for for real functions from inspiring English sources

Differentiability is a much more significant property for complex functions than for real functions.

Thus, it became feasible to study analytic functions via power series, a program attempted by the Italian French mathematician Joseph-Louis Lagrange for real functions in the 18th century but first carried out successfully by the German mathematician Karl Weierstrass in the 19th century, after the appropriate subject matter of complex analytic functions had been discovered.

In 1916, Tricomi [1] introduced originally the concept of quasi-nonexpansive for real functions.

The convexity concept for bivariate means can be defined as for real functions involving two variables.

Connor and Grosse-Erdman [53] gave sequential definitions of continuity for real functions calling G-continuity instead of A-continuity.

For t-norms which are continuous functions (in the standard sense of continuity for real functions of two variables) these additional connectives become even definable.

The soil was better prepared for the modern theories of real functions: Italian, German, French and British mathematicians contributed during the 1880s.

Suppression of unfavorable biological response on the interface is most important for understanding real functions of biomolecules on the surface.

By applying mixed interpolation methods with arbitrary nodes for approximating real functions and the eigenvalues of the given matrix A, we propose a definition for computing the matrix function f(A).

Second, the method that is used, called diagonalisation was already present in the work of du Bois-Reymond for building real functions growing faster than any function in a given sequence of functions.

(ii Assume that is an extended altering-distance function such that and, for all for some real function.