Sentence examples for used in complex analysis from inspiring English sources

These functions and numbers are not only used in complex analysis, but also used in -adic analysis and other areas.

The algorithm is based on the resolvent formalism used in complex analysis to study the spectrum of matrices.

Hence, its proof, among others, uses the method of integrating the derivatives, which is frequently used in complex analysis, especially in estimating point evaluation operators (see, e.g., Lemma 7 in [8] and Lemma 4 in [9]).

The methods used here are frequently used in complex analysis and operator theory on spaces of analytic functions; among others, for example, in obtaining estimations for point evaluation operators on spaces of analytic functions of one or several variables containing derivatives in the definition of the spaces (see, for example, [6] and [7]).

Moreover, these gene sets may produce different results depending on the statistical algorithms used in complex analysis.

We employ two popular techniques widely used in complex network analysis.

A number of global and local properties of this graph and the subgraphs resulting from isolating edges of different types are examined by means of metrics commonly used in complex network analysis.

These functions and polynomials are used not only in complex analysis and mathematical physics, but also in p-adic analysis and other areas.

Both approaches are widely used in macromolecular complex analysis and produce roughly equivalent results.

Although some SNPs used in the complex analysis showed nominal signals (P < 0.05), we evaluated the additional genetic effect due to SNPs without association.

First of all, while Barth used originally methods of holomorphic convexity in complex analysis (somehow reminiscent of Morse theory in the real case) Hartshorne showed [210] how the third Lefschetz Theorem implies the result of Barth for cohomology with coefficients in ({mathbb {Q}}).